id
int64 1
44.4k
| title
stringlengths 3
986
| slug
stringlengths 9
159
| question
stringlengths 34
62.2k
| tags
stringlengths 23
126
| options
stringlengths 4
149k
| correct_option
stringlengths 4
50.2k
| answer
stringlengths 29
69.3k
| source_db
stringclasses 14
values |
|---|---|---|---|---|---|---|---|---|
801 | paragraph-two-aliphatic-aldehydes-p-and-q-react-in-the-presence-of-aqueous-k-2-co-3-to-give-compound-r-which-upon-treatment-with-hcn-provides-compound | paragraph-two-aliphatic-aldehydes-p-and-q-react-in-the-presence-of-aqueous-k-2-co-3-to-give-compound-r-which-upon-treatment-with-hcn-provides-compound-20074 | <div class="question"><strong>Paragraph:</strong><br/>Two aliphatic aldehydes $\mathrm{P}$ and $\mathrm{Q}$ react in the presence of aqueous $\mathrm{K}_2 \mathrm{CO}_3$ to give compound R, which upon treatment with HCN provides compound $\mathrm{S}$. On acidification and heating, S gives the product shown below :<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/fNKC7BRqyIG0XUhPQ9I2Jk7TQZkubA1XHiW9jOv0YY0.original.fullsize.png"/><br/><strong>Question:</strong><br/>$$<br/>\text { The compound } S \text { is }<br/>$$</div> | ['Chemistry', 'Alcohols Phenols and Ethers', 'JEE Advanced', 'JEE Advanced 2010 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/W2i03VR1gK7Qr4T_WOKeq3I96FIBBuUvoKm7xKdGK-Y.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/G9_8jzFZqmWKpCzFKUOeW5Xq91B9jKbPMbg518R61nA.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/NT9w7eE3UMktIq93Z5hzvJIxUawkL3QUMAQqX1LGw1c.original.fullsize.png"/><br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/tSY6q_dKIG2CrUTQPNiPGtsm3Y8HTl8xyUc0fPfWNek.original.fullsize.png"/><br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/tSY6q_dKIG2CrUTQPNiPGtsm3Y8HTl8xyUc0fPfWNek.original.fullsize.png"/><br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/ub0i1Roguh0VykvMYjTBnPZBFg5b20aVJPzytT7IND8.original.fullsize.png"/><br/><br/>Some inferences from above data<br/>- $a q \mathrm{~K}_2 \mathrm{CO}_3$ can facilitate aldol condensation to aliphatic aldehydes.<br/>- HCN can lead to cyanohydrin formation<br/>- $\mathrm{H}^{+}, \Delta$ can lead to hydrolysis of cyanide to acid and following esterification. So $S$ is cyanohydrin.<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/PSYRzrrQMjFhPEo-HPgMnRsEh0hKBpYpzHThIfd51OA.original.fullsize.png"/><br/><br/>Carbonyl compounds (Aldol condensation) Conceptual reaction and mechanistic understanding IV</div> | MarksBatch2_P2.db |
802 | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-a-llp-a-r-am-e-t-ers-a-re-in | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-a-llp-a-r-am-e-t-ers-a-re-in-28172 | <div class="question"><strong>Paragraph:</strong><br/>Two plane harmonic sound waves are expressed by the equations.<br/>$$<br/>\begin{aligned}<br/>& y_1(x, t)=A \cos (0.5 \pi x-100 \pi t) \\<br/>& y_2(x, t)=A \cos (0.46 \pi x-92 \pi t)<br/>\end{aligned}<br/>$$<br/>(All parameters are in MKS)<strong>Question:</strong><br/>At $x=0$ how many times the amplitude of $y_1+y_2$ is zero in one second at $x=0$ ?</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>192<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>48<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>100<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>96</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>96</span> </div> | <div class="solution">At $x=0, y=y_1+y_2=2 A \cos 96 \pi t \cos 4 \pi t$<br/>Frequency of $\cos (96 \pi t)$ function is $48 \mathrm{~Hz}$ and that of $\cos (4 \pi t)$ function is $2 \mathrm{~Hz}$. In one second cos function becomes zero at $2 f$ times, where $f$ is the frequency. Therefore, first function will become zero at 96 times and the second at 4 times. But second overlaps with first. Hence, net $y$ will become zero 96 times in 1 second.</div> | MarksBatch2_P2.db |
803 | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-all-parameters-are-in-mks-qu-1 | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-all-parameters-are-in-mks-qu-1-45282 | <div class="question"><strong>Paragraph:</strong><br/>Two plane harmonic sound waves are expressed by the equations.<br/>$$<br/>\begin{aligned}<br/>& y_1(x, t)=A \cos (0.5 \pi x-100 \pi t) \\<br/>& y_2(x, t)=A \cos (0.46 \pi x-92 \pi t)<br/>\end{aligned}<br/>$$<br/>(All parameters are in MKS)<strong>Question:</strong><br/>What is the speed of the sound?</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$200 \mathrm{~m} / \mathrm{s}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$180 \mathrm{~m} / \mathrm{s}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$192 \mathrm{~m} / \mathrm{s}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$96 \mathrm{~m} / \mathrm{s}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$200 \mathrm{~m} / \mathrm{s}$<br/></span> </div> | <div class="solution">Speed of wave $v=\frac{\omega}{R}$ or $\quad v=\frac{100 \pi}{0.5 \pi}$ or $\frac{92 \pi}{0.46 \pi}=200 \mathrm{~m} / \mathrm{s}$</div> | MarksBatch2_P2.db |
804 | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-all-parameters-are-in-mks-qu | paragraph-two-plane-harmonic-sound-waves-are-expressed-by-the-equations-y-1-x-t-a-cos-05-x-100-t-y-2-x-t-a-cos-046-x-92-t-all-parameters-are-in-mks-qu-65540 | <div class="question"><strong>Paragraph:</strong><br/>Two plane harmonic sound waves are expressed by the equations.<br/>$$<br/>\begin{aligned}<br/>& y_1(x, t)=A \cos (0.5 \pi x-100 \pi t) \\<br/>& y_2(x, t)=A \cos (0.46 \pi x-92 \pi t)<br/>\end{aligned}<br/>$$<br/>(All parameters are in MKS)<strong>Question:</strong><br/>How many times does an observer hear maximum intensity in one second?</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>4<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>10<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>6<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>8</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>4<br/></span> </div> | <div class="solution">In one second number of maximas is called the beat frequency. Hence,<br/>$$<br/>f_b=f_1-f_2=\frac{100 \pi}{2 \pi}-\frac{92 \pi}{2 \pi}=4 \mathrm{~Hz}<br/>$$</div> | MarksBatch2_P2.db |
805 | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a--1 | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a-1-10007 | <div class="question"><strong>Paragraph:</strong><br/>Two trains $A$ and $B$ are moving with speeds $20 \mathrm{~m} / \mathrm{s}$ and $30 \mathrm{~m} / \mathrm{s}$, respectively in the same direction on the same straight track, with $B$ ahead of $A$. The engines are at the front ends. The engine of train $A$ blows a long whistle.<br/>Assume that the sound of the whistle is composed of components varying in frequency from $f_1=800 \mathrm{~Hz}$ to $f_2=1120 \mathrm{~Hz}$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $320 \mathrm{~Hz}$. The speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$.<strong>Question:</strong><br/>The speed of sound of the whistle is</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$340 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $310 \mathrm{~m} / \mathrm{s}$ for passengers in $B$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$360 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $310 \mathrm{~m} / \mathrm{s}$ for passengers in $B$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$310 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $360 \mathrm{~m} / \mathrm{s}$ for passengers in $B$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$340 \mathrm{~m} / \mathrm{s}$ for passengers in both the trains</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$360 \mathrm{~m} / \mathrm{s}$ for passengers in $A$ and $310 \mathrm{~m} / \mathrm{s}$ for passengers in $B$<br/></span> </div> | <div class="solution">$v_{S A}=340+20=360 \mathrm{~m} / \mathrm{s}$ $v_{S B}=340-30=310 \mathrm{~m} / \mathrm{s}$<br/>Therefore, correct option is (b).</div> | MarksBatch2_P2.db |
806 | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a--2 | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a-2-92256 | <div class="question"><strong>Paragraph:</strong><br/>Two trains $A$ and $B$ are moving with speeds $20 \mathrm{~m} / \mathrm{s}$ and $30 \mathrm{~m} / \mathrm{s}$, respectively in the same direction on the same straight track, with $B$ ahead of $A$. The engines are at the front ends. The engine of train $A$ blows a long whistle.<br/>Assume that the sound of the whistle is composed of components varying in frequency from $f_1=800 \mathrm{~Hz}$ to $f_2=1120 \mathrm{~Hz}$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $320 \mathrm{~Hz}$. The speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$.<strong>Question:</strong><br/>The spread of frequency as observed by the passengers in train $B$ is</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$310 \mathrm{~Hz}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$330 \mathrm{~Hz}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$350 \mathrm{~Hz}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$290 \mathrm{~Hz}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$310 \mathrm{~Hz}$<br/></span> </div> | <div class="solution">For the passengers in train $B$, observer is receding with velocity $30 \mathrm{~m} / \mathrm{s}$ and source is approaching with velocity $20 \mathrm{~m} / \mathrm{s}$.<br/>$$<br/>\begin{array}{ll}<br/>\therefore & f_1^{\prime}=800\left(\frac{340-30}{340-20}\right)=775 \mathrm{~Hz} \\<br/>\text { and } & f_2^{\prime}=1120\left(\frac{340-30}{340-20}\right)=1085 \mathrm{~Hz}<br/>\end{array}<br/>$$<br/>$\therefore$ Spread of frequency $=f_2^{\prime}-f_1^{\prime}=310 \mathrm{~Hz}$<br/>$\therefore$ The correct option is (a).</div> | MarksBatch2_P2.db |
807 | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a- | paragraph-two-trains-a-and-b-are-moving-with-speeds-20-m-s-and-30-m-s-respectively-in-the-same-direction-on-the-same-straight-track-with-b-ahead-of-a-32716 | <div class="question"><strong>Paragraph:</strong><br/>Two trains $A$ and $B$ are moving with speeds $20 \mathrm{~m} / \mathrm{s}$ and $30 \mathrm{~m} / \mathrm{s}$, respectively in the same direction on the same straight track, with $B$ ahead of $A$. The engines are at the front ends. The engine of train $A$ blows a long whistle.<br/>Assume that the sound of the whistle is composed of components varying in frequency from $f_1=800 \mathrm{~Hz}$ to $f_2=1120 \mathrm{~Hz}$, as shown in the figure. The spread in the frequency (highest frequency - lowest frequency) is thus $320 \mathrm{~Hz}$. The speed of sound in still air is $340 \mathrm{~m} / \mathrm{s}$.<strong>Question:</strong><br/>The distribution of the sound intensity of the whistle as observed by the passengers in train $A$ is best represented by</div> | ['Physics', 'Waves and Sound', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/wuRCJ2p_bfYdDJSOFw6Xk5oB-j7w1f8xArEYG8U5Uu4.original.fullsize.png"/><br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/ktxPSlK8a2B-ksEERi-lD0bu5uxiJe879x73_NGcvEM.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/DnDjD3b9B_OXJDBIUUi6oUxY0Zg3nn-sBM89IXlnNVk.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/E-mFj8r40_dvAtzRiOOOAim0H1RWUHeOZYo95ZfPIjE.original.fullsize.png"/><br/></span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/wuRCJ2p_bfYdDJSOFw6Xk5oB-j7w1f8xArEYG8U5Uu4.original.fullsize.png"/><br/></span> </div> | <div class="solution">For the passengers in train $A$, there is no relative motion between source and observe, as both are moving with velocity $20 \mathrm{~m} / \mathrm{s}$. Therefore, there is no change in observed frequencies and correspondingly there is no change in their intensities. Therefore, the correct option is (a).</div> | MarksBatch2_P2.db |
808 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-1 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-1-34879 | <div class="question"><strong>Paragraph:</strong><br/>When a metal rod $M$ is dipped into an aqueous colourless concentrated solution of compound $\mathrm{N}$, the solution turns light blue. Addition of aqueous $\mathrm{NaCl}$ to the blue solution gives a white precipitate $\mathrm{O}$. Addition of aqueous $\mathrm{NH}_3$ dissolves $\mathrm{O}$ and gives an intense blue solution.<strong>Question:</strong><br/>The final solution contains</div> | ['Chemistry', 'Coordination Compounds', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$\left[\mathrm{Pb}\left(\mathrm{NH}_3\right)_4\right]^{2+}$ and $\left[\mathrm{CoCl}_4\right]^{2-}$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$\left[\mathrm{Al}\left(\mathrm{NH}_3\right)_4\right]^{3+}$ and $\left[\mathrm{Cu}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Ni}\left(\mathrm{NH}_3\right)_6\right]^{2+}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> </div> | <div class="solution">Since in the beginning, concentrated $\mathrm{AgNO}_3$ solution was taken, some $\mathrm{AgNO}_3$ remain in solution which gives white precipitate of $\mathrm{AgCl}$ on addition of $\mathrm{NaCl}$. The precipitate finally dissolve in ammonia and $\mathrm{Cu}^{2+}$ present in solution also forms complex with ammonia as<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/0KiXv4U06vNW5FbrV5m7CUN62IIheDXOxWz1mqF3Bng.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
809 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-2 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-2-30486 | <div class="question"><strong>Paragraph:</strong><br/>When a metal rod $M$ is dipped into an aqueous colourless concentrated solution of compound $\mathrm{N}$, the solution turns light blue. Addition of aqueous $\mathrm{NaCl}$ to the blue solution gives a white precipitate $\mathrm{O}$. Addition of aqueous $\mathrm{NH}_3$ dissolves $\mathrm{O}$ and gives an intense blue solution.<strong>Question:</strong><br/>The metal $\operatorname{rod} M$ is</div> | ['Chemistry', 'd and f Block Elements', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$\mathrm{Fe}$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$\mathrm{Cu}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$\mathrm{Ni}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\mathrm{Co}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\mathrm{Cu}$<br/></span> </div> | <div class="solution">Appearance of blue colour on addition of the metal rod $M$ to the solution of $N$ is an indication that metal may be $\mathrm{Cu}$. Later formation of white precipitate on addition of $\mathrm{NaCl}$ and dissolution of this precipitate in aqueous ammonia confirm that while preipitate is of $\mathrm{AgCl}$. This implies that the solution $N$ is of $\mathrm{AgNO}_3$. This confirm that the metal $M$ is only $\mathrm{Cu}$.</div> | MarksBatch2_P2.db |
810 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-4 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-4-63949 | <div class="question"><strong>Paragraph:</strong><br/>When a metal rod $M$ is dipped into an aqueous colourless concentrated solution of compound $\mathrm{N}$, the solution turns light blue. Addition of aqueous $\mathrm{NaCl}$ to the blue solution gives a white precipitate $\mathrm{O}$. Addition of aqueous $\mathrm{NH}_3$ dissolves $\mathrm{O}$ and gives an intense blue solution.<strong>Question:</strong><br/>The final solution contains</div> | ['Chemistry', 'Coordination Compounds', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$\left[\mathrm{Pb}\left(\mathrm{NH}_3\right)_4\right]^{2+}$ and $\left[\mathrm{CoCl}_4\right]^{2-}$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$\left[\mathrm{Al}\left(\mathrm{NH}_3\right)_4\right]^{3+}$ and $\left[\mathrm{Cu}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Ni}\left(\mathrm{NH}_3\right)_6\right]^{2+}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\left[\mathrm{Ag}\left(\mathrm{NH}_3\right)_2\right]^{+}$and $\left[\mathrm{Co}\left(\mathrm{NH}_3\right)_4\right]^{2+}$<br/></span> </div> | <div class="solution">Since in the beginning, concentrated $\mathrm{AgNO}_3$ solution was taken, some $\mathrm{AgNO}_3$ remain in solution which gives white precipitate of $\mathrm{AgCl}$ on addition of $\mathrm{NaCl}$. The precipitate finally dissolve in ammonia and $\mathrm{Cu}^{2+}$ present in solution also forms complex with ammonia as<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/0KiXv4U06vNW5FbrV5m7CUN62IIheDXOxWz1mqF3Bng.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
811 | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou | paragraph-when-a-metal-rod-m-is-dipped-into-an-aqueous-colourless-concentrated-solution-of-compound-n-the-solution-turns-light-blue-addition-of-aqueou-34765 | <div class="question"><strong>Paragraph:</strong><br/>When a metal rod $M$ is dipped into an aqueous colourless concentrated solution of compound $\mathrm{N}$, the solution turns light blue. Addition of aqueous $\mathrm{NaCl}$ to the blue solution gives a white precipitate $\mathrm{O}$. Addition of aqueous $\mathrm{NH}_3$ dissolves $\mathrm{O}$ and gives an intense blue solution.<strong>Question:</strong><br/>The compound $N$ is</div> | ['Chemistry', 'd and f Block Elements', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$\mathrm{AgNO}_3$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$\mathrm{Zn}\left(\mathrm{NO}_3\right)_2$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$\mathrm{Al}\left(\mathrm{NO}_3\right)_3$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\mathrm{Pb}\left(\mathrm{NO}_3\right)_2$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\mathrm{AgNO}_3$<br/></span> </div> | <div class="solution">The compound $N$ is $\mathrm{AgNO}_3$, explained above.</div> | MarksBatch2_P2.db |
812 | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp-1 | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp-1-88449 | <div class="question"><strong>Paragraph:</strong><br/>When a particle is restricted to move along $x$-axis between $x=0$ and $x=a$, where $a$ is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends $x=0$ and $x=a$. The wavelength of this standing wave is related to the liner momentum $p$ of the particle according to the de Broglie relation. The energy of the particle of mass $m$ is related to its linear momentum as $E=\frac{p^2}{2 m}$. Thus, the energy of the particle can be denoted by a quantum number $n$ taking values $1,2,3, \ldots(n=1$, called the ground state) corresponding to the number of loops in the standing wave.<br/>Use the model described above to answer the following three questions for a particle moving in the line $x=0$ to $x=a$ [Take $h=6.6 \times 10^{-34} \mathrm{Js}$ and $e=1.6 \times 10^{-19} \mathrm{C}$ ]<strong>Question:</strong><br/>The speed of the particle that can take discrete values is proportional to</div> | ['Physics', 'Atomic Physics', 'JEE Advanced', 'JEE Advanced 2009 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$n^{-3 / 2}$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$n^{-1}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$n^{1 / 2}$<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>$n$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$n$</span> </div> | <div class="solution">From Eq. (i)</div> | MarksBatch2_P2.db |
813 | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp-2 | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp-2-46006 | <div class="question"><strong>Paragraph:</strong><br/>When a particle is restricted to move along $x$-axis between $x=0$ and $x=a$, where $a$ is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends $x=0$ and $x=a$. The wavelength of this standing wave is related to the liner momentum $p$ of the particle according to the de Broglie relation. The energy of the particle of mass $m$ is related to its linear momentum as $E=\frac{p^2}{2 m}$. Thus, the energy of the particle can be denoted by a quantum number $n$ taking values $1,2,3, \ldots(n=1$, called the ground state) corresponding to the number of loops in the standing wave.<br/>Use the model described above to answer the following three questions for a particle moving in the line $x=0$ to $x=a$ [Take $h=6.6 \times 10^{-34} \mathrm{Js}$ and $e=1.6 \times 10^{-19} \mathrm{C}$ ]<strong>Question:</strong><br/>The allowed energy for the particle for a particular value of $n$ is proportional to</div> | ['Physics', 'Atomic Physics', 'JEE Advanced', 'JEE Advanced 2009 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$a^{-2}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$a^{-3 / 2}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$a^{-1}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$a^2$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$a^{-2}$<br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/-S8_dG1o737Zw4q1aXyRbIfCMhQCFP25n8zQXUG9Y3s.original.fullsize.png"/><br/><br/>$$<br/>\begin{array}{rlrl} <br/>& a & =\frac{n \lambda}{2} \\<br/>\therefore & \lambda & =\frac{2 a}{n}=\frac{h}{p}=\frac{h}{\sqrt{2 E m}} \\<br/>\text { or } & \sqrt{E} \propto \frac{1}{a} \Rightarrow E \propto \frac{1}{a^2}<br/>\end{array}<br/>$$</div> | MarksBatch2_P2.db |
814 | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp | paragraph-when-a-particle-is-restricted-to-move-along-x-axis-between-x-0-and-x-a-where-a-is-of-nanometer-dimension-its-energy-can-take-only-certain-sp-37614 | <div class="question"><strong>Paragraph:</strong><br/>When a particle is restricted to move along $x$-axis between $x=0$ and $x=a$, where $a$ is of nanometer dimension, its energy can take only certain specific values. The allowed energies of the particle moving in such a restricted region, correspond to the formation of standing waves with nodes at its ends $x=0$ and $x=a$. The wavelength of this standing wave is related to the liner momentum $p$ of the particle according to the de Broglie relation. The energy of the particle of mass $m$ is related to its linear momentum as $E=\frac{p^2}{2 m}$. Thus, the energy of the particle can be denoted by a quantum number $n$ taking values $1,2,3, \ldots(n=1$, called the ground state) corresponding to the number of loops in the standing wave.<br/>Use the model described above to answer the following three questions for a particle moving in the line $x=0$ to $x=a$ [Take $h=6.6 \times 10^{-34} \mathrm{Js}$ and $e=1.6 \times 10^{-19} \mathrm{C}$ ]<strong>Question:</strong><br/>If the mass of the particle is $m=1.0 \times 10^{-30} \mathrm{~kg}$ and $a=6.6 \mathrm{~nm}$, the energy of the particle in its ground state is closest to</div> | ['Physics', 'Atomic Physics', 'JEE Advanced', 'JEE Advanced 2009 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$0.8 \mathrm{meV}$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$8 \mathrm{meV}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$80 \mathrm{meV}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$800 \mathrm{meV}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$8 \mathrm{meV}$<br/></span> </div> | <div class="solution">From Eq. (i)<br/>$$<br/>E=\frac{n^2 h^2}{8 a^2 m}<br/>$$<br/>In ground state $n=1$<br/>$$<br/>\therefore \quad E_1=\frac{h^2}{8 m a^2}<br/>$$<br/>Substituting the values, we get<br/>$$<br/>E_1=8 \mathrm{meV}<br/>$$</div> | MarksBatch2_P2.db |
815 | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time-1 | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time-1-75147 | <div class="question"><strong>Paragraph:</strong><br/>When a particle of mass $m$ moves on the $x$-axis in a potential of the form $V(x)=k x^2$, it performs simple harmonic motion.<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/JO88T86U1WBTz3r9tZnSSGCHdiXBMHNTHb4YYwVukEs.original.fullsize.png"/><br/><br/>The corresponding time period is proportional to $\sqrt{\frac{m}{k}}$, as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of $x=0$ in a way different from $k x^2$ and its total energy is such that the particle does not escape to infinity. Consider a particle of mass $\mathrm{m}$ moving on the $x$-axis. Its potential energy is $V(x)=\alpha x^4(\alpha>0)$ for $|x|$ near the origin and becomes a constant equal to $V_0$ for $|x| \geq X_0$ (see figure).<strong>Question:</strong><br/>For periodic motion of small amplitude $A$, the time period $T$ of this particle is proportional to</div> | ['Physics', 'Oscillations', 'JEE Advanced', 'JEE Advanced 2010 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$A \sqrt{\frac{m}{\alpha}}$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$\frac{1}{A} \sqrt{\frac{m}{\alpha}}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$A \sqrt{\frac{\alpha}{m}}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\frac{1}{A} \sqrt{\frac{\alpha}{m}}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\frac{1}{A} \sqrt{\frac{m}{\alpha}}$<br/></span> </div> | <div class="solution">$[\alpha]=\left[\frac{\mathrm{PE}}{x^4}\right]=\left[\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{~L}^4}\right]=\left[\mathrm{ML}^{-2} \mathrm{~T}^{-2}\right]$<br/>$$<br/>\begin{array}{ll}<br/>\therefore & {\left[\frac{m}{\alpha}\right]=\left[\mathrm{L}^2 \mathrm{~T}^2\right]} \\<br/>\therefore & {\left[\frac{1}{A} \sqrt{\frac{m}{\alpha}}\right]=[\mathrm{T}]}<br/>\end{array}<br/>$$<br/>As dimensions of amplitude $A$ is [L].<br/>Hence, the correct option is (b).</div> | MarksBatch2_P2.db |
816 | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time-2 | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time-2-95759 | <div class="question"><strong>Paragraph:</strong><br/>When a particle of mass $m$ moves on the $x$-axis in a potential of the form $V(x)=k x^2$, it performs simple harmonic motion.<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/JO88T86U1WBTz3r9tZnSSGCHdiXBMHNTHb4YYwVukEs.original.fullsize.png"/><br/><br/>The corresponding time period is proportional to $\sqrt{\frac{m}{k}}$, as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of $x=0$ in a way different from $k x^2$ and its total energy is such that the particle does not escape to infinity. Consider a particle of mass $\mathrm{m}$ moving on the $x$-axis. Its potential energy is $V(x)=\alpha x^4(\alpha>0)$ for $|x|$ near the origin and becomes a constant equal to $V_0$ for $|x| \geq X_0$ (see figure).<strong>Question:</strong><br/>The acceleration of this particle for $|x|>X_0$ is</div> | ['Physics', 'Oscillations', 'JEE Advanced', 'JEE Advanced 2010 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>proportional to $V_0$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>proportional to $\frac{V_0}{m X_0}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>proportional to $\sqrt{\frac{V_0}{m X_0}}$<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Zero</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Zero</span> </div> | <div class="solution">For $|x|>X_0$, potential energy is constant. Hence, kinetic energy, speed or velocity will also remain constant.<br/>$\therefore$ Acceleration will be zero.<br/>Hence, the correct option is (d).</div> | MarksBatch2_P2.db |
817 | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time | paragraph-when-a-particle-of-mass-m-moves-on-the-x-axis-in-a-potential-of-the-form-v-x-k-x-2-it-performs-simple-harmonic-motion-the-corresponding-time-83784 | <div class="question"><strong>Paragraph:</strong><br/>When a particle of mass $m$ moves on the $x$-axis in a potential of the form $V(x)=k x^2$, it performs simple harmonic motion.<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/JO88T86U1WBTz3r9tZnSSGCHdiXBMHNTHb4YYwVukEs.original.fullsize.png"/><br/><br/>The corresponding time period is proportional to $\sqrt{\frac{m}{k}}$, as can be seen easily using dimensional analysis. However, the motion of a particle can be periodic even when its potential energy increases on both sides of $x=0$ in a way different from $k x^2$ and its total energy is such that the particle does not escape to infinity. Consider a particle of mass $\mathrm{m}$ moving on the $x$-axis. Its potential energy is $V(x)=\alpha x^4(\alpha>0)$ for $|x|$ near the origin and becomes a constant equal to $V_0$ for $|x| \geq X_0$ (see figure).<strong>Question:</strong><br/>If the total energy of the particle is $E$, it will perform periodic motion only if</div> | ['Physics', 'Oscillations', 'JEE Advanced', 'JEE Advanced 2010 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$E < 0$</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$E>0$<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>$V_0>E>0$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$E>V_0$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$V_0>E>0$<br/></span> </div> | <div class="solution">If $E>V_0$, particle will escape. But simultaneously for oscillations, $E>0$. Hence, the correct answer is $V_0>E>0$ or the correct option is (c).</div> | MarksBatch2_P2.db |
818 | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press-1 | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press-1-70142 | <div class="question"><strong>Paragraph:</strong><br/>When liquid medicine of density $\rho$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.<br/>We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension $T$ when the radius of the drop is $R$. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.<strong>Question:</strong><br/>If $r=5 \times 10^{-4} \mathrm{~m}, \rho=10^3 \mathrm{~kg} \mathrm{~m}^{-3}$, $g=10 \mathrm{~ms}^{-2}, T=0.11 \mathrm{Nm}^{-1}$, the radius of the drop when it detaches from the dropper is approximately</div> | ['Physics', 'Mechanical Properties of Fluids', 'JEE Advanced', 'JEE Advanced 2010 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$1.4 \times 10^{-3} \mathrm{~m}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$3.3 \times 10^{-3} \mathrm{~m}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$2.0 \times 10^{-3} \mathrm{~m}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$4.1 \times 10^{-3} \mathrm{~m}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$1.4 \times 10^{-3} \mathrm{~m}$<br/></span> </div> | <div class="solution">$$<br/>\begin{aligned}<br/>& \frac{2 \pi r^2 T}{R}=m g=\frac{4}{3} \pi R^3 \cdot \rho \cdot g \\<br/>& \begin{aligned}<br/>\therefore \quad R^4 & =\frac{3 r^2 T}{2 \rho g}=\frac{3 \times\left(5 \times 10^{-4}\right)^2(0.11)}{2 \times 10^3 \times 10} \\<br/>& =4.125 \times 10^{-12} \mathrm{~m}^4<br/>\end{aligned} \\<br/>& \therefore R=1.425 \times 10^{-3} \mathrm{~m} \approx 1.4 \times 10^{-3} \mathrm{~m} \\<br/>& \therefore \text { The correct option is (a). }<br/>\end{aligned}<br/>$$</div> | MarksBatch2_P2.db |
819 | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press-2 | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press-2-87778 | <div class="question"><strong>Paragraph:</strong><br/>When liquid medicine of density $\rho$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.<br/>We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension $T$ when the radius of the drop is $R$. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.<strong>Question:</strong><br/>If the radius of the opening of the dropper is $r$, the vertical force due to the surface tension on the drop of radius $R$ (assuming $r< < R$ ) is</div> | ['Physics', 'Mechanical Properties of Fluids', 'JEE Advanced', 'JEE Advanced 2010 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$2 \pi r T$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$2 \pi R T$<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>$\frac{2 \pi r^2 T}{R}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\frac{2 \pi R^2 T}{r}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\frac{2 \pi r^2 T}{R}$<br/></span> </div> | <div class="solution">Vertical force due to surface tension,<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/o4deu4ddbC-5yG25YqfzhyYmEFYug3P_Lf7lKpjW0tY.original.fullsize.png"/><br/><br/>$$<br/>\begin{aligned}<br/>F_v & =F \sin \theta=(T \cdot 2 \pi r)(r / R) \\<br/>& =\frac{2 \pi r^2 T}{R}<br/>\end{aligned}<br/>$$<br/>$\therefore$ The correct option is (c).</div> | MarksBatch2_P2.db |
820 | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press | paragraph-when-liquid-medicine-of-density-is-to-be-put-in-the-eye-it-is-done-with-the-help-of-a-dropper-as-the-bulb-on-the-top-of-the-dropper-is-press-66757 | <div class="question"><strong>Paragraph:</strong><br/>When liquid medicine of density $\rho$ is to be put in the eye, it is done with the help of a dropper. As the bulb on the top of the dropper is pressed, a drop forms at the opening of the dropper. We wish to estimate the size of the drop.<br/>We first assume that the drop formed at the opening is spherical because that requires a minimum increase in its surface energy. To determine the size, we calculate the net vertical force due to the surface tension $T$ when the radius of the drop is $R$. When this force becomes smaller than the weight of the drop, the drop gets detached from the dropper.<strong>Question:</strong><br/>After the drop detaches, its surface energy is</div> | ['Physics', 'Mechanical Properties of Fluids', 'JEE Advanced', 'JEE Advanced 2010 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$1.4 \times 10^{-6} \mathrm{~J}$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$2.7 \times 10^{-6} \mathrm{~J}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$5.4 \times 10^{-6} \mathrm{~J}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$8.1 \times 10^{-9} \mathrm{~J}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$2.7 \times 10^{-6} \mathrm{~J}$<br/></span> </div> | <div class="solution">Surface energy,<br/>$$<br/>\begin{aligned}<br/>E & =\left(4 \pi R^2\right) T \\<br/>& =(4 \pi)\left(1.4 \times 10^{-3}\right)^2(0.11) \\<br/>& =2.7 \times 10^{-6} \mathrm{~J}<br/>\end{aligned}<br/>$$<br/>$\therefore$ The correct option is (b).</div> | MarksBatch2_P2.db |
821 | passing-h-2-s-gas-into-a-mixture-of-mn-2-ni-2-cu-2-and-hg-2-ions-in-an-acidified-aqueous-solution-precipitates | passing-h-2-s-gas-into-a-mixture-of-mn-2-ni-2-cu-2-and-hg-2-ions-in-an-acidified-aqueous-solution-precipitates-14095 | <div class="question">Passing $\mathrm{H}_2 \mathrm{~S}$ gas into a mixture of $\mathrm{Mn}^{2+}, \mathrm{Ni}^{2+}, \mathrm{Cu}^{2+}$ and $\mathrm{Hg}^{2+}$ ions in an acidified aqueous solution precipitates</div> | ['Chemistry', 'p Block Elements (Group 15, 16, 17 & 18)', 'JEE Advanced', 'JEE Advanced 2011 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$\mathrm{CuS}$ and $\mathrm{HgS}$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$\mathrm{MnS}$ and $\mathrm{CuS}$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$\mathrm{MnS}$ and $\mathrm{NiS}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\mathrm{NiS}$ and $\mathrm{HgS}$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\mathrm{CuS}$ and $\mathrm{HgS}$<br/></span> </div> | <div class="solution">In acidic medium, $\mathrm{H}_2 \mathrm{~S}$ is very feebly ionized giving very small concentration of sulphide ion for precipitation. Therefore, the most insoluble salts $\mathrm{CuS}$ and $\mathrm{HgS}$ are precipitated only.</div> | MarksBatch2_P2.db |
822 | photoelectric-effect-experiments-are-performed-using-three-different-metal-plates-p-q-and-r-having-work-functions-p-20-ev-q-25-ev-and-r-30-ev-respecti-1 | photoelectric-effect-experiments-are-performed-using-three-different-metal-plates-p-q-and-r-having-work-functions-p-20-ev-q-25-ev-and-r-30-ev-respecti-1-89128 | <div class="question">Photoelectric effect experiments are performed using three different metal plates $p, \quad q$ and $r$ having work functions $\varphi_p=2.0 \mathrm{eV}, \varphi_q=2.5 \mathrm{eV}$ and $\varphi_r=3.0 \mathrm{eV}$, respectively. A light beam containing wavelengths of $550 \mathrm{~nm}$, $450 \mathrm{~nm}$ and $350 \mathrm{~nm}$ with equal intensities illuminates each of the plates. The correct $I-V$ graph for the experiment is</div> | ['Physics', 'Dual Nature of Matter', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/8gqO7thopOJzGlQ9pDUL_lC--xm2lipVk9RdDK48P18.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/6Yha14QE5ecgcKW1rCihKK-A4yRVTTcuOpB6VBHIqrk.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/WtXlrOd4Fl_5Schqee2hXSKf9Vl1EhIXPzBJ05W6Lwo.original.fullsize.png"/><br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>None of these</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>None of these</span> </div> | <div class="solution">$$<br/>\begin{gathered}<br/>\text { 1. } K_p=E_p-\phi_p=\frac{1240}{550}-20=0.2545 \mathrm{eV} \\<br/>K_q=E_q-\phi_q=\frac{1240}{450}-25=0.255 \mathrm{eV} \\<br/>K_r=E_r-\phi_r=\frac{1240}{350}-3.0=0.543 \mathrm{eV}<br/>\end{gathered}<br/>$$<br/>In the above equation $K$ represents maximum kinetic energy of photoelectrons and $E$, the energy of incident right. From the above values we can see that stopping potential, $\left|V_r\right|>\left|V_q\right|>\left|V_p\right|$<br/>Further, their intensities are equal, but energy of individual photon of $r$ is maximum. Hence, number of photons incident (per unit area per unit time) of $r$ can be assumed to be least. Hence, saturation current of $r$ should be minimum.<br/>Keeping these points in mind no option seems to be correct. The correct graph is shown below,<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/ZssLLzGjx-oP96ATdC4k8dbeZqjya_pqS6yPBSp_fqk.original.fullsize.png"/><br/><br/>$$<br/>\therefore \text { No choice is correct. }<br/>$$</div> | MarksBatch2_P2.db |
823 | photoelectric-effect-experiments-are-performed-using-three-different-metal-plates-p-q-and-r-having-work-functions-p-20-ev-q-25-ev-and-r-30-ev-respecti | photoelectric-effect-experiments-are-performed-using-three-different-metal-plates-p-q-and-r-having-work-functions-p-20-ev-q-25-ev-and-r-30-ev-respecti-45783 | <div class="question">Photoelectric effect experiments are performed using three different metal plates $p, \quad q$ and $r$ having work functions $\varphi_p=2.0 \mathrm{eV}, \varphi_q=2.5 \mathrm{eV}$ and $\varphi_r=3.0 \mathrm{eV}$, respectively. A light beam containing wavelengths of $550 \mathrm{~nm}$, $450 \mathrm{~nm}$ and $350 \mathrm{~nm}$ with equal intensities illuminates each of the plates. The correct $I-V$ graph for the experiment is</div> | ['Physics', 'Dual Nature of Matter', 'JEE Advanced', 'JEE Advanced 2009 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/8gqO7thopOJzGlQ9pDUL_lC--xm2lipVk9RdDK48P18.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/6Yha14QE5ecgcKW1rCihKK-A4yRVTTcuOpB6VBHIqrk.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/WtXlrOd4Fl_5Schqee2hXSKf9Vl1EhIXPzBJ05W6Lwo.original.fullsize.png"/><br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>None of these</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>None of these</span> </div> | <div class="solution">$$<br/>\begin{gathered}<br/>\text { 1. } K_p=E_p-\phi_p=\frac{1240}{550}-20=0.2545 \mathrm{eV} \\<br/>K_q=E_q-\phi_q=\frac{1240}{450}-25=0.255 \mathrm{eV} \\<br/>K_r=E_r-\phi_r=\frac{1240}{350}-3.0=0.543 \mathrm{eV}<br/>\end{gathered}<br/>$$<br/>In the above equation $K$ represents maximum kinetic energy of photoelectrons and $E$, the energy of incident right. From the above values we can see that stopping potential, $\left|V_r\right|>\left|V_q\right|>\left|V_p\right|$<br/>Further, their intensities are equal, but energy of individual photon of $r$ is maximum. Hence, number of photons incident (per unit area per unit time) of $r$ can be assumed to be least. Hence, saturation current of $r$ should be minimum.<br/>Keeping these points in mind no option seems to be correct. The correct graph is shown below,<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/ZssLLzGjx-oP96ATdC4k8dbeZqjya_pqS6yPBSp_fqk.original.fullsize.png"/><br/><br/>$$<br/>\therefore \text { No choice is correct. }<br/>$$</div> | MarksBatch2_P2.db |
824 | plots-showing-the-variation-of-the-rate-constant-k-with-temperature-t-are-given-below-the-plot-that-follows-arrhenius-equation-is-2 | plots-showing-the-variation-of-the-rate-constant-k-with-temperature-t-are-given-below-the-plot-that-follows-arrhenius-equation-is-2-37218 | <div class="question">Plots showing the variation of the rate constant $(k)$ with temperature $(T)$ are given below. The plot that follows Arrhenius equation is</div> | ['Chemistry', 'Chemical Kinetics', 'JEE Main'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/bBedyTUwOt1eLOFZiwi1MPSuJxPJn50Hejpee9qJpSc.original.fullsize.png"/><br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/kp3C4NCB2daXgW6i0LDh4DAfOXG9YpKMW-HawADi_8Q.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/OGeL6AlXQQCvgmEfuRumFkRjPbU0KTWJ-kz6MnCOhrM.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/SGXhcjtDKqxWCyhO3ysXxgUSjzamNVjExpoNID2Ov-I.original.fullsize.png"/><br/></span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/bBedyTUwOt1eLOFZiwi1MPSuJxPJn50Hejpee9qJpSc.original.fullsize.png"/><br/></span> </div> | <div class="solution">$k=A e^{-E_a / R T}, \quad$ As temperature increases $k$ increases exponentially. Chemical kinetics Conceptual mathematical analysis of data I</div> | MarksBatch2_P2.db |
825 | plots-showing-the-variation-of-the-rate-constant-k-with-temperature-t-are-given-below-the-plot-that-follows-arrhenius-equation-is | plots-showing-the-variation-of-the-rate-constant-k-with-temperature-t-are-given-below-the-plot-that-follows-arrhenius-equation-is-78899 | <div class="question">Plots showing the variation of the rate constant $(k)$ with temperature $(T)$ are given below. The plot that follows Arrhenius equation is</div> | ['Chemistry', 'Chemical Kinetics', 'JEE Advanced', 'JEE Advanced 2010 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/bBedyTUwOt1eLOFZiwi1MPSuJxPJn50Hejpee9qJpSc.original.fullsize.png"/><br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/kp3C4NCB2daXgW6i0LDh4DAfOXG9YpKMW-HawADi_8Q.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/OGeL6AlXQQCvgmEfuRumFkRjPbU0KTWJ-kz6MnCOhrM.original.fullsize.png"/><br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/SGXhcjtDKqxWCyhO3ysXxgUSjzamNVjExpoNID2Ov-I.original.fullsize.png"/><br/></span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/bBedyTUwOt1eLOFZiwi1MPSuJxPJn50Hejpee9qJpSc.original.fullsize.png"/><br/></span> </div> | <div class="solution">$k=A e^{-E_a / R T}, \quad$ As temperature increases $k$ increases exponentially. Chemical kinetics Conceptual mathematical analysis of data I</div> | MarksBatch2_P2.db |
826 | positive-and-negative-point-charges-of-equal-magnitude-are-kept-at-0-0-2-a-and-0-0-2-a-respectively-the-work-done-by-the-electric-field-when-another-p-1 | positive-and-negative-point-charges-of-equal-magnitude-are-kept-at-0-0-2-a-and-0-0-2-a-respectively-the-work-done-by-the-electric-field-when-another-p-1-23656 | <div class="question">Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ is</div> | ['Physics', 'Electrostatics', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>positive<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>negative<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>zero<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>depends on the path connecting the initial and final positions</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>zero<br/></span> </div> | <div class="solution">$A \equiv(-a, 0,0) B \equiv(0, a, 0)$<br/>Point charge is moved from $A$ to $B$<br/>$$<br/>\begin{aligned}<br/>V_A & =V_B=0 \\<br/>W & =0<br/>\end{aligned}<br/>$$<br/>$$<br/>\therefore \quad W=0<br/>$$<br/>or the correct option is (c).<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/DiaY3X6xlxWW2TjNqO0u9R-XGUrorZAnreRtLsMUkok.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
827 | positive-and-negative-point-charges-of-equal-magnitude-are-kept-at-0-0-2-a-and-0-0-2-a-respectively-the-work-done-by-the-electric-field-when-another-p | positive-and-negative-point-charges-of-equal-magnitude-are-kept-at-0-0-2-a-and-0-0-2-a-respectively-the-work-done-by-the-electric-field-when-another-p-34837 | <div class="question">Positive and negative point charges of equal magnitude are kept at $\left(0,0, \frac{a}{2}\right)$ and $\left(0,0, \frac{-a}{2}\right)$, respectively. The work done by the electric field when another positive point charge is moved from $(-a, 0,0)$ to $(0, a, 0)$ is</div> | ['Physics', 'Electrostatics', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>positive<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>negative<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>zero<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>depends on the path connecting the initial and final positions</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>zero<br/></span> </div> | <div class="solution">$A \equiv(-a, 0,0) B \equiv(0, a, 0)$<br/>Point charge is moved from $A$ to $B$<br/>$$<br/>\begin{aligned}<br/>V_A & =V_B=0 \\<br/>W & =0<br/>\end{aligned}<br/>$$<br/>$$<br/>\therefore \quad W=0<br/>$$<br/>or the correct option is (c).<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/DiaY3X6xlxWW2TjNqO0u9R-XGUrorZAnreRtLsMUkok.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
828 | reaction-of-br-2-with-na-2-co-3-in-aqueous-solution-gives-sodium-bromide-and-sodium-bromate-with-evolution-of-co-2-gas-the-number-of-sodium-bromide-mo | reaction-of-br-2-with-na-2-co-3-in-aqueous-solution-gives-sodium-bromide-and-sodium-bromate-with-evolution-of-co-2-gas-the-number-of-sodium-bromide-mo-76051 | <div class="question">Reaction of $\mathrm{Br}_2$ with $\mathrm{Na}_2 \mathrm{CO}_3$ in aqueous solution gives sodium bromide and sodium bromate with evolution of $\mathrm{CO}_2$ gas. The number of sodium bromide molecules involved in the balanced chemical equation is</div> | ['Chemistry', 'Redox Reactions', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">5</span> </div> | <div class="solution">$\mathrm{Br}_2$ is disproportionated in basic medium as<br/>$$<br/>3 \mathrm{Br}_2+3 \mathrm{Na}_2 \mathrm{CO}_3 \longrightarrow 5 \mathrm{NaBr}+\mathrm{NaBrO}_3+3 \mathrm{CO}_2<br/>$$</div> | MarksBatch2_P2.db |
829 | reduction-of-the-metal-centre-in-aqueous-permanganate-ion-involves | reduction-of-the-metal-centre-in-aqueous-permanganate-ion-involves-39271 | <div class="question">Reduction of the metal centre in aqueous permanganate ion involves</div> | ['Chemistry', 'd and f Block Elements', 'JEE Advanced', 'JEE Advanced 2011 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>three electrons in neutral medium<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>five electrons in neutral medium<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>three electrons in alkaline medium<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>five electrons in acidic medium</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answers are:
<span class="option-value"><br/>three electrons in neutral medium<br/>, <br/>three electrons in alkaline medium<br/>, <br/>five electrons in acidic medium</span> </div> | <div class="solution">In neutral medium: $\quad \mathrm{MnO}_4^{-} \rightarrow \mathrm{MnO}_2\left(\mathrm{Mn}^{7+}+3 e^{-} \rightarrow \mathrm{Mn}^{4+}\right)$<br/>In alkaline medium : $\quad \mathrm{MnO}_4^{-} \rightarrow \mathrm{MnO}_2\left(\mathrm{Mn}^{7+}+3 \varepsilon^{-} \rightarrow \mathrm{Mn}^{4+}\right)$<br/>In acidic medium : $\quad \mathrm{Mn}_4^{-} \rightarrow \mathrm{Mn}^{2+}\left(\mathrm{Mn}^{7+}+5 e^{-} \rightarrow \mathrm{Mn}^{2+}\right)$</div> | MarksBatch2_P2.db |
830 | retrogressive-metamorphosis-occurs-in | retrogressive-metamorphosis-occurs-in-29755 | <div class="question">Retrogressive metamorphosis occurs in</div> | ['Biology', 'Animal Kingdom', 'AIIMS', 'AIIMS 2016'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Hemichordata</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Cephalochordata</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Urochordata</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Vertebrata.</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">Urochordata</span> </div> | <div class="solution">In retrogressive metamorphosis, degeneration is shown by larva to form less developed adult. It is a type of metamorphosis seen in Herdmania (Urochordate). It involves transformation of an active, free swimming larva with advanced characters into sedentary and simple adult.</div> | MarksBatch2_P2.db |
831 | selaginella-can-be-regarded-as-an-evolutionary-advanced-pteridophyte-because-of | selaginella-can-be-regarded-as-an-evolutionary-advanced-pteridophyte-because-of-92300 | <div class="question"><em>Selaginella</em> can be regarded as an evolutionary advanced Pteridophyte<em> </em>because of</div> | ['Biology', 'Plant Kingdom', 'NEET'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Rhizophore</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Ligule</span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">Heterospory</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">Apospory</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">Heterospory</span> </div> | <div class="solution">Heterospory is the occurrence of two types of spore, smaller microspore, and larger macrospore. Heterospory has led to the evolution of seed habit in plants. Heterospory first evolved in Pteridophyta in which megaspore was retained on parent sporophyte which is considered as a precursor to seed habit.</div> | MarksBatch2_P2.db |
832 | select-the-animal-that-exhibits-retrogressive-metamorphosis | select-the-animal-that-exhibits-retrogressive-metamorphosis-22625 | <div class="question">Select the animal that exhibits retrogressive metamorphosis.</div> | ['Biology', 'Animal Kingdom', 'AIIMS', 'AIIMS 2015'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">Bufo</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">Amphioxus</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">Limulus</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">Herdmania</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">Herdmania</span> </div> | <div class="solution">Retrogressive metamorphosis occurs in Urochordates (e.g., Herdmania, Ascidia, Doliolum etc.), in which better developed (advanced) larva changes to less developed (primitive) adult.</div> | MarksBatch2_P2.db |
833 | sexual-reproduction-in-spirogyra-is-an-advanced-feature-because-it-shows | sexual-reproduction-in-spirogyra-is-an-advanced-feature-because-it-shows-99966 | <div class="question">Sexual reproduction in Spirogyra is an advanced feature because it shows:</div> | ['Biology', 'Sexual Reproduction in Flowering Plants', 'NEET', 'NEET 2003'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">different sizes of motile sex organs</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">same size of motile sex organs</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">morphologically different sex organs</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">physiologically differentiated sex organs</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">physiologically differentiated sex organs</span> </div> | <div class="solution">In Spirogyra, the sexual reproduction involves the fusion of two morphologically identical isogametes and physiologically dissimilar anisogametes. This is a case of primitive anisogamy.</div> | MarksBatch2_P2.db |
834 | silver-atomic-weight-108-g-mol-1-has-a-density-of-105-g-cm-3-the-number-of-silver-atoms-on-a-surface-of-area-1-0-12-m-2-can-be-expressed-in-scientific | silver-atomic-weight-108-g-mol-1-has-a-density-of-105-g-cm-3-the-number-of-silver-atoms-on-a-surface-of-area-1-0-12-m-2-can-be-expressed-in-scientific-85989 | <div class="question">Silver (atomic weight $=108 \mathrm{~g} \mathrm{~mol}^{-1}$ ) has a density of $10.5 \mathrm{~g} \mathrm{~cm}^{-3}$. The number of silver atoms on a surface of area $10^{-12} \mathrm{~m}^2$ can be expressed in scientific notation as $y \times 10^x$. The value of $x$ is</div> | ['Chemistry', 'Solid State', 'JEE Advanced', 'JEE Advanced 2010 (Paper 2)'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">7</span> </div> | <div class="solution">Volume of one mole of silver atoms $=\frac{108}{10.5} \mathrm{~cm}^3 /$ mole Volume of one silver atom $=\frac{108}{10.5} \times \frac{1}{6.022 \times 10^{23}} \mathrm{~cm}^3$<br/>So,<br/>$$<br/>\begin{aligned}<br/>\frac{4}{3} \pi R^3 & =\frac{108}{10.5} \times \frac{1}{6.022 \times 10^{23}}=1.708 \times 10^{-23} \\<br/>R^3 & =0.407 \times 10^{-23} \mathrm{~cm}^3 \\<br/>& =0.407 \times 10^{-29} \mathrm{~m}^3<br/>\end{aligned}<br/>$$<br/>Area of each silver atom<br/>$$<br/>\pi R^2=\pi \times\left(0.407 \times 10^{-29} \mathrm{~m}^3\right)^{2 / 3}<br/>$$<br/>So number of silver atoms in given area<br/>$$<br/>=\frac{10^{-12}}{\left(0.407 \times 10^{-29} \mathrm{~m}^3\right)^{2 / 3}}=\frac{10^8}{(\pi \times 2)}=1.6 \times 10^7=y \times 10^x \quad \text { so, } \quad x=7<br/>$$<br/>Solid state<br/>Mathematical understanding<br/>III</div> | MarksBatch2_P2.db |
835 | six-charges-are-placed-around-a-regular-hexagon-of-side-length-a-as-shown-in-the-figure-five-of-them-have-charge-q-and-the-remaining-one-has-charge-x- | six-charges-are-placed-around-a-regular-hexagon-of-side-length-a-as-shown-in-the-figure-five-of-them-have-charge-q-and-the-remaining-one-has-charge-x-62468 | <div class="question"><p>Six charges are placed around a regular hexagon of side length <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi></math> as shown in the figure. Five of them have charge <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi></math>, and the remaining one has charge <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math>. The perpendicular from each charge to the nearest hexagon side passes through the center <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> of the hexagon and is bisected by the side.</p><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/94e37fce-1df2-4d0d-be7f-1e094ce9e879-image.png" style="width: 200px; height: 226px;"/></p><p>Which of the following statement(s) is(are) correct in SI units?</p></div> | ['Physics', 'Electrostatics', 'JEE Advanced', 'JEE Advanced 2022 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><p>When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q</mi></math>, the magnitude of the electric field at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is zero.</p></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mi>q</mi></math>, the magnitude of the electric field at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>q</mi><mrow><mn>6</mn><mi>π</mi><msub><mo>∈</mo><mn>0</mn></msub><msup><mi>a</mi><mn>2</mn></msup></mrow></mfrac></math>.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>2</mn><mi>q</mi></math>, the potential at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>7</mn><mi>q</mi></mrow><mrow><mn>4</mn><msqrt><mn>3</mn></msqrt><mi>π</mi><msub><mo>∈</mo><mn>0</mn></msub><mi>a</mi></mrow></mfrac></math>.</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn><mi>q</mi></math>, the potential at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>3</mn><mi>q</mi></mrow><mrow><mn>4</mn><msqrt><mn>3</mn></msqrt><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub><mi>a</mi></mrow></mfrac></math>.</span> </li> </ul> | <div class="correct-answer">
The correct answers are:
<span class="option-value"><p>When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q</mi></math>, the magnitude of the electric field at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is zero.</p>, When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mi>q</mi></math>, the magnitude of the electric field at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mi>q</mi><mrow><mn>6</mn><mi>π</mi><msub><mo>∈</mo><mn>0</mn></msub><msup><mi>a</mi><mn>2</mn></msup></mrow></mfrac></math>., When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>2</mn><mi>q</mi></math>, the potential at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is <math xmlns="http://www.w3.org/1998/Math/MathML"><mfrac><mrow><mn>7</mn><mi>q</mi></mrow><mrow><mn>4</mn><msqrt><mn>3</mn></msqrt><mi>π</mi><msub><mo>∈</mo><mn>0</mn></msub><mi>a</mi></mrow></mfrac></math>.</span> </div> | <div class="solution"><p><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/62650f55-ab4a-4bd6-84ba-b377a89c04bb-image.png" style="width: 179px; height: 186px;"/>âââââââ</p><p>The given arrangements of the charges also form a regular hexagon with side length equal to <math xmlns="http://www.w3.org/1998/Math/MathML"><msqrt><mn>3</mn></msqrt><mi>a</mi></math></p><p>When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mi>q</mi></math>, the situation is symmetric</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math> Electric field at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> would be zero.</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mfenced><mi>A</mi></mfenced></math> is correct.</p><p>When <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mi>q</mi></math>, we can think of <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi></math> as <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>q</mi><mo>+</mo><mfenced><mrow><mo>-</mo></mrow></mfenced><mfenced><mrow><mn>2</mn><mi>q</mi></mrow></mfenced></math>. Therefore, the magnitude of the electric field will be equivalent to that if only charge of <math xmlns="http://www.w3.org/1998/Math/MathML"><mo>-</mo><mn>2</mn><mi>q</mi></math> is kept at the the bottom point. Hence,</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>E</mi><mi>O</mi></msub><mo>=</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mfenced><mrow><mn>2</mn><mi>q</mi></mrow></mfenced><msup><mfenced><mrow><msqrt><mn>3</mn></msqrt><mi>a</mi></mrow></mfenced><mn>2</mn></msup></mfrac></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>=</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mrow><mn>2</mn><mi>q</mi></mrow><mrow><mn>3</mn><msup><mi>a</mi><mn>2</mn></msup></mrow></mfrac><mo>=</mo><mfrac><mi>q</mi><mrow><mn>6</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub><msup><mi>a</mi><mn>2</mn></msup></mrow></mfrac></math></p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mfenced><mi>B</mi></mfenced></math> is correct</p><p>For <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mn>2</mn><mi>q</mi></math>, potential at <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>O</mi></math> is</p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>V</mi><mi>O</mi></msub><mo>=</mo><mn>5</mn><mo>×</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mi>q</mi><mrow><msqrt><mn>3</mn></msqrt><mi>a</mi></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mrow><mn>2</mn><mi>q</mi></mrow><mrow><msqrt><mn>3</mn></msqrt><mi>a</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>7</mn><mi>q</mi></mrow><mrow><mn>4</mn><msqrt><mn>3</mn></msqrt><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub><mi>a</mi></mrow></mfrac></math></p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo><mfenced><mi>C</mi></mfenced></math> is correct</p><p>For <math xmlns="http://www.w3.org/1998/Math/MathML"><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn><mi>q</mi><mo>,</mo></math></p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>V</mi><mi>O</mi></msub><mo>=</mo><mn>5</mn><mo>×</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mi>q</mi><mrow><msqrt><mn>3</mn></msqrt><mi>a</mi></mrow></mfrac><mo>+</mo><mfrac><mn>1</mn><mrow><mn>4</mn><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub></mrow></mfrac><mfrac><mrow><mo>-</mo><mn>3</mn><mi>q</mi></mrow><mrow><msqrt><mn>3</mn></msqrt><mi>a</mi></mrow></mfrac><mo>=</mo><mfrac><mi>q</mi><mrow><mn>2</mn><msqrt><mn>3</mn></msqrt><mi>π</mi><msub><mi>ϵ</mi><mn>0</mn></msub><mi>a</mi></mrow></mfrac></math></p><p><math xmlns="http://www.w3.org/1998/Math/MathML"><mo>⇒</mo></math><math xmlns="http://www.w3.org/1998/Math/MathML"><mfenced><mi>D</mi></mfenced></math>is not correct.</p></div> | MarksBatch2_P2.db |
836 | six-point-charges-are-kept-at-the-vertices-of-a-regular-hexagon-of-side-l-and-centre-o-as-shown-in-the-figure-given-that-k-4-0-1-l-2-q-which-of-the-fo | six-point-charges-are-kept-at-the-vertices-of-a-regular-hexagon-of-side-l-and-centre-o-as-shown-in-the-figure-given-that-k-4-0-1-l-2-q-which-of-the-fo-77467 | <div class="question">Six point charges are kept at the vertices of a regular hexagon of side $\mathrm{L}$ and centre $O$, as shown in the figure.
<br/> <br/>Given that $K=\frac{1}{4 \pi \varepsilon_{0}} \frac{q}{L^{2}}$, which of the following statement(s) is (are) correct?
<br/> <br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/TNA-fS4zD7LB7P7tWEr2kEXM9E2IyiOZmGWksHzD46E.original.fullsize.png"/><br/></div> | ['Physics', 'Electrostatics', 'JEE Advanced', 'JEE Advanced 2012 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">The electric field at $O$ is $6 \mathrm{~K}$ along $O D$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">The potential at $O$ is zero</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data">The potential at all points on the line $P R$ is same</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data">The potential at all points on the line $S T$ is same</span> </li> </ul> | <div class="correct-answer">
The correct answers are:
<span class="option-value">The electric field at $O$ is $6 \mathrm{~K}$ along $O D$, The potential at $O$ is zero, The potential at all points on the line $P R$ is same</span> </div> | <div class="solution">Here
<br/> <br/>$\begin{aligned}
<br/> <br/>& \frac{\left|\overrightarrow{E_{A}}\right|}{2}=\left|\overrightarrow{E_{B}}\right|=\left|\overrightarrow{E_{C}}\right|=\frac{\left|\overrightarrow{E_{D}}\right|}{2}=\left|\overrightarrow{E_{E}}\right|=\left|\overrightarrow{E_{F}}\right|=K \\
<br/> <br/>\therefore & E_{O}=E_{A}+E_{D}+\left(E_{F}+E_{C}\right) \cos 60^{\circ}+\left(E_{B}+E_{C}\right) \cos 60^{\circ} \\
<br/> <br/>=& 2 \mathrm{~K}+2 \mathrm{~K}+(\mathrm{K}+\mathrm{K}) \times \frac{1}{2}+(\mathrm{K}+\mathrm{K}) \times \frac{1}{2}=6 \mathrm{~K}
<br/> <br/>\end{aligned}$
<br/> <br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/po-pHHTRh1HGuC_SLte7BHab4PCfekrn560sGFdEobg.original.fullsize.png"/><br/> <br/> <br/>Electric potential at $O$
<br/> <br/>$V_{O}=\frac{1}{4 \pi \varepsilon_{0} L}[2 q+q+q-q-q-2 q]=0$
<br/> <br/>Potential at all points on the line PR is same not on line ST. $P R$ is perpendicular bisector (the equatorial line) for the electric dipoles $A B, F E$ and $B C$. Therefore the electric potential will be zero at any point on $P R$.</div> | MarksBatch2_P2.db |
837 | six-point-charges-each-of-the-same-magnitude-q-are-arranged-in-different-manners-as-shown-in-columnii-in-each-case-a-point-m-and-a-line-pq-passing-thr-1 | six-point-charges-each-of-the-same-magnitude-q-are-arranged-in-different-manners-as-shown-in-columnii-in-each-case-a-point-m-and-a-line-pq-passing-thr-1-99885 | <div class="question">Six point charges, each of the same magnitude $q$, are arranged in different manners as shown in Column-II. In each case, a point $M$ and a line $P Q$ passing through $M$ are shown. Let $E$ be the electric field and $V$ be the electric potential at $M$ (potential at infinity is zero) due to the given charge distribution when it is at rest. Now, the whole system is set into rotation with a constant angular velocity about the line $P Q$. Let $B$ the magnetic field at $M$ and $\mu$ be the magnetic moment of the system in this condition. Assume each rotating charge to be equivalent to a steady current.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/7gVh6lG9bFXFpAYpwPukZPsSYUFuKLh7nm7jj5evels.original.fullsize.png"/><br/></div> | ['Physics', 'Electrostatics', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>(A) q,t, (B) q,s, (C) p,q,t, (D) r,s,t<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>(A) q,r,s, (B) r,s, (C) p,r, (D) r,s,t<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>(A) p,r,s, (B) r,s, (C) p,q,t, (D) r,s<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>(A) p,r, (B) q,s, (C) p,r,t, (D) r,s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>(A) p,r,s, (B) r,s, (C) p,q,t, (D) r,s<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
838 | six-point-charges-each-of-the-same-magnitude-q-are-arranged-in-different-manners-as-shown-in-columnii-in-each-case-a-point-m-and-a-line-pq-passing-thr | six-point-charges-each-of-the-same-magnitude-q-are-arranged-in-different-manners-as-shown-in-columnii-in-each-case-a-point-m-and-a-line-pq-passing-thr-19155 | <div class="question">Six point charges, each of the same magnitude $q$, are arranged in different manners as shown in Column-II. In each case, a point $M$ and a line $P Q$ passing through $M$ are shown. Let $E$ be the electric field and $V$ be the electric potential at $M$ (potential at infinity is zero) due to the given charge distribution when it is at rest. Now, the whole system is set into rotation with a constant angular velocity about the line $P Q$. Let $B$ the magnetic field at $M$ and $\mu$ be the magnetic moment of the system in this condition. Assume each rotating charge to be equivalent to a steady current.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/7gVh6lG9bFXFpAYpwPukZPsSYUFuKLh7nm7jj5evels.original.fullsize.png"/><br/></div> | ['Physics', 'Electrostatics', 'JEE Advanced', 'JEE Advanced 2009 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>(A) q,t, (B) q,s, (C) p,q,t, (D) r,s,t<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>(A) q,r,s, (B) r,s, (C) p,r, (D) r,s,t<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>(A) p,r,s, (B) r,s, (C) p,q,t, (D) r,s<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>(A) p,r, (B) q,s, (C) p,r,t, (D) r,s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>(A) p,r,s, (B) r,s, (C) p,q,t, (D) r,s<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
839 | solubility-product-constant-k-sp-of-salts-of-types-mx-m-x-2-and-m-3-x-at-temperature-t-are-40-1-0-8-32-1-0-14-and-27-1-0-15-respectively-solubilities- | solubility-product-constant-k-sp-of-salts-of-types-mx-m-x-2-and-m-3-x-at-temperature-t-are-40-1-0-8-32-1-0-14-and-27-1-0-15-respectively-solubilities-70456 | <div class="question">Solubility product constant $\left(K_{\mathrm{sp}}\right)$ of salts of types $M X, M X_2$ and $M_3 X$ at temperature ' $T$ ' are $4.0 \times 10^{-8}, 3.2 \times 10^{-14}$ and $2.7 \times 10^{-15}$, respectively. Solubilities $\left(\mathrm{mol} \mathrm{dm}^{-3}\right)$ of the salts at temperature ' $T$ ' are in the order</div> | ['Chemistry', 'Ionic Equilibrium', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$M X>M X_2>M_3 X$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$M_3 X>M X_2>M X$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$M X_2>M_3 X < M X$</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>$M X>M_3 X>M X_2$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$M X>M_3 X>M X_2$</span> </div> | <div class="solution">$\begin{array}{lcl}\text { Salt } & \text { Solubility product } & \text { Solubility } \\ M X & S_1^2=4.0 \times 10^{-8} & S_1=2 \times 10^{-4} \\ M X_2 & 4 S_2^3=3.2 \times 10^{-14} & S_2=2 \times 10^{-5} \\ M_3 X & 27 S_3^4=2.7 \times 10^{-15} & S_3=1 \times 10^{-4}\end{array}$<br/>Thus, solubility order $=M X>M_3 X>M X_2$.</div> | MarksBatch2_P2.db |
840 | some-lawsprocesses-are-given-in-column-i-match-these-with-the-physical-phenomena-given-in-column-ii-and-indicate-your-answer-by-darkening-appropriate--1 | some-lawsprocesses-are-given-in-column-i-match-these-with-the-physical-phenomena-given-in-column-ii-and-indicate-your-answer-by-darkening-appropriate-1-51782 | <div class="question">Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/si4dXTR4UIpetgefzMIUHF2z89aSCJZv3XAQxkFy254.original.fullsize.png"/><br/></div> | ['Physics', 'Nuclear Physics', 'JEE Main'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>A-p, r; B-p, q, s; C-p; D-q<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>A-p; B-p, s; C-p; D-q<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>A-p, r; B-p, q; C-p, r; D-q, s<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>A-r, s; B-q; C-p; D-p, q, s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>A-p, r; B-p, q, s; C-p; D-q<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
841 | some-lawsprocesses-are-given-in-column-i-match-these-with-the-physical-phenomena-given-in-column-ii-and-indicate-your-answer-by-darkening-appropriate- | some-lawsprocesses-are-given-in-column-i-match-these-with-the-physical-phenomena-given-in-column-ii-and-indicate-your-answer-by-darkening-appropriate-36742 | <div class="question">Some laws/processes are given in Column I. Match these with the physical phenomena given in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/si4dXTR4UIpetgefzMIUHF2z89aSCJZv3XAQxkFy254.original.fullsize.png"/><br/></div> | ['Physics', 'Nuclear Physics', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>A-p, r; B-p, q, s; C-p; D-q<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>A-p; B-p, s; C-p; D-q<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>A-p, r; B-p, q; C-p, r; D-q, s<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>A-r, s; B-q; C-p; D-p, q, s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>A-p, r; B-p, q, s; C-p; D-q<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
842 | some-physical-quantities-are-given-in-column-i-and-some-possible-si-units-in-which-these-quantities-may-be-expressed-are-given-in-column-ii-match-the--1 | some-physical-quantities-are-given-in-column-i-and-some-possible-si-units-in-which-these-quantities-may-be-expressed-are-given-in-column-ii-match-the-1-72352 | <div class="question">Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/71rwiOBIl8y69LXU1c8nAsedgtxa0TzE-uNAQgeFDS4.original.fullsize.png"/><br/></div> | ['Physics', 'Units and Dimensions', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>A-p, r; B-r, s; C-q; D-p, q<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>A-p, q; B-r, s; C-r, s; D-r, s<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>A-q; B-r, s; C-s; D-p, q, r<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>A-r, s; B-q; C-p; D-p, q, s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>A-p, q; B-r, s; C-r, s; D-r, s<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
843 | some-physical-quantities-are-given-in-column-i-and-some-possible-si-units-in-which-these-quantities-may-be-expressed-are-given-in-column-ii-match-the- | some-physical-quantities-are-given-in-column-i-and-some-possible-si-units-in-which-these-quantities-may-be-expressed-are-given-in-column-ii-match-the-59685 | <div class="question">Some physical quantities are given in Column I and some possible SI units in which these quantities may be expressed are given in Column II. Match the physical quantities in Column I with the units in Column II and indicate your answer by darkening appropriate bubbles in the $4 \times 4$ matrix given in the ORS.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/71rwiOBIl8y69LXU1c8nAsedgtxa0TzE-uNAQgeFDS4.original.fullsize.png"/><br/></div> | ['Physics', 'Units and Dimensions', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>A-p, r; B-r, s; C-q; D-p, q<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>A-p, q; B-r, s; C-r, s; D-r, s<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>A-q; B-r, s; C-s; D-p, q, r<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>A-r, s; B-q; C-p; D-p, q, s</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>A-p, q; B-r, s; C-r, s; D-r, s<br/></span> </div> | <div class="solution">No Solution Available</div> | MarksBatch2_P2.db |
844 | statement-1-an-astronaut-in-an-orbiting-space-station-above-the-earth-experiences-weightlessness-and-statement-2-an-object-moving-around-the-earth-und | statement-1-an-astronaut-in-an-orbiting-space-station-above-the-earth-experiences-weightlessness-and-statement-2-an-object-moving-around-the-earth-und-32304 | <div class="question">Statement 1 An astronaut in an orbiting space station above the earth experiences weightlessness.<br/>and Statement 2 An object moving around the earth under the influence of earth's gravitational force is in state of 'free fall'.</div> | ['Physics', 'Gravitation', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">Force acting on astronaut is utilised in providing necessary centripetal force; thus he feels weightlessness or he is in a state of free fall.<br/>$$<br/>\therefore \text { correct option is (a) }<br/>$$</div> | MarksBatch2_P2.db |
845 | statement-1-aniline-on-reaction-with-nano-2-hcl-at-0-c-followed-by-coupling-with-naphthol-gives-a-dark-coloured-precipitate-statement-2-the-colour-of- | statement-1-aniline-on-reaction-with-nano-2-hcl-at-0-c-followed-by-coupling-with-naphthol-gives-a-dark-coloured-precipitate-statement-2-the-colour-of-94294 | <div class="question">Statement 1 Aniline on reaction with $\mathrm{NaNO}_2 / \mathrm{HCl}$ at $0^{\circ} \mathrm{C}$ followed by coupling with $\beta$-naphthol gives a dark coloured precipitate.<br/>Statement 2 The colour of the compound formed in the reaction of aniline with $\mathrm{NaNO}_2 / \mathrm{HCl}$ at $0^{\circ} \mathrm{C}$ followed by coupling with $\beta$-naphthol is due to the extended conjugation.</div> | ['Chemistry', 'Amines', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">Statement II is correct. Statement I appears correct in the light of Statement II. What is the colour of a dye that dye is not in included in JEE syllabus but what is the cause and understanding behind a colour could be essentially expected.<br/>Concept Usually a certain proportion of the flight is absorbed and the rest reflected, the substance has the colour of the reflected light.<br/>If only a single band is absorbed, the substance has the complementary colour.<br/>- The wavelength of photon absorbed depends on the energy difference between the excited and ground states. The smaller the difference, the longer being the wavelength.<br/>- The larger the number of electrons involved in resonance, the smaller is the energy difference between the ground and excited state. Hence, the more extended the conjugation in a molecule and the greater the contribution of charged structures, the longer is the wavelength of the photon required to excite the molecule.<br/>- Especially, the presence of $+I /+M$ and $-I /-M$ groups in the conjugated system will both extend the conjugation and increase the contributions of charged structures to the resonance hybrid. Therefore, in these circumstances, the wavelength should become progressively longer.<br/>- Depending on this discussion it is apparent that the concerned resultant azodye will absorb higher wavelength.<br/>$\begin{array}{ccc}\text { Wavelength } & \text { Colour absorbed } & \text { Complimentary colour } \\ 490-500 & \text { Blue-green } & \text { Red } \\ 580-595 & \text { Yellow } & \text { Blue } \\ 605-750 & \text { Red } & \text { Blue-green }\end{array}$</div> | MarksBatch2_P2.db |
846 | statement-1-bromobenzene-upon-reaction-with-br-2-fe-gives-1-4dibromobenzene-as-the-major-product-statement-2-in-bromobenzene-the-inductive-effect-of-t | statement-1-bromobenzene-upon-reaction-with-br-2-fe-gives-1-4dibromobenzene-as-the-major-product-statement-2-in-bromobenzene-the-inductive-effect-of-t-46795 | <div class="question">Statement 1 Bromobenzene, upon reaction with $\mathrm{Br}_2 / \mathrm{Fe}$ gives 1, 4-dibromobenzene as the major product.<br/>Statement 2 In bromobenzene, the inductive effect of the bromo group is more dominant than the mesomeric effect in directing the incoming electrophile.</div> | ['Chemistry', 'General Organic Chemistry', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/CLv1bF2Y6HPwJjITGAL6VFi66RjkGikxwnxz_mnR77I.original.fullsize.png"/><br/><br/>Bromine orientation is controlled by its mesomeric effect, its stabilisation of arenium ion by $+M$ activity<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/RzYv88pXdWx7lm2Tk1Irvwlld6qP3svdfXGGkPm2sb8.original.fullsize.png"/><br/><br/>In bromobenzene, the inductive effect of the bromo group is more dominant than the mesomeric effect in the activity of ring.<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/1KHmA0z9cvYBIf5MEgGWzh9IkY7uXIDrp0YeDmlsD78.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
847 | statement-1-fe-h-2-o-5-no-so-4-is-paramagnetic-statement-2-the-fe-in-fe-h-2-o-5-no-so-4-has-three-unpaired-electrons | statement-1-fe-h-2-o-5-no-so-4-is-paramagnetic-statement-2-the-fe-in-fe-h-2-o-5-no-so-4-has-three-unpaired-electrons-86511 | <div class="question">Statement $\mathbf{1}\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{NO}\right] \mathrm{SO}_4$ is paramagnetic.<br/>Statement 2 The $\mathrm{Fe}$ in $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{NO}\right] \mathrm{SO}_4$ has three unpaired electrons.</div> | ['Chemistry', 'Coordination Compounds', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">The oxidation number of $\mathrm{Fe}$ in the complex, $\left[\mathrm{Fe}\left(\mathrm{H}_2 \mathrm{O}\right)_5 \mathrm{NO}\right] \mathrm{SO}_4$ is $+1$ [ $\mathrm{NO}$ has $+1$ charge ]<br/>$$<br/>\mathrm{Fe}^{+}=[\mathrm{Ar}] 3 d^6 4 s^1<br/>$$<br/>$\mathrm{NO}^{+}$causes pairing of 4 s electron inside .<br/>Thus, the configuration is $3 d^7$ and number of unpaired electrons $=3$</div> | MarksBatch2_P2.db |
848 | statement-1-for-an-observer-looking-out-through-the-window-of-a-fast-moving-train-the-nearby-objects-appear-to-move-in-the-opposite-direction-to-the-t-1 | statement-1-for-an-observer-looking-out-through-the-window-of-a-fast-moving-train-the-nearby-objects-appear-to-move-in-the-opposite-direction-to-the-t-1-41676 | <div class="question">Statement 1 For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.<br/>and Statement 2 If the observer and the object are moving at velocities $\overrightarrow{\mathbf{v}}_{\mathbf{1}}$ and $\overrightarrow{\mathbf{v}_2}$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $\overrightarrow{\mathbf{v}_2}-\overrightarrow{\mathbf{v}_1}$.</div> | ['Physics', 'Motion In Two Dimensions', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/KuQNeOX_19L4lWh8bt_HqtuWD8dcyrw23wpZ4PAV4lA.original.fullsize.png"/><br/><br/>Statement-2, is formula of relative velocity. But it does not explain statement-1 correctly. The correct explanation of statement-1 is due to visual perception of motion. The object appears to be moving faster, when its angular velocity is greater w.r.t observer.<br/>$\therefore$ correct answer is (b).</div> | MarksBatch2_P2.db |
849 | statement-1-for-an-observer-looking-out-through-the-window-of-a-fast-moving-train-the-nearby-objects-appear-to-move-in-the-opposite-direction-to-the-t | statement-1-for-an-observer-looking-out-through-the-window-of-a-fast-moving-train-the-nearby-objects-appear-to-move-in-the-opposite-direction-to-the-t-82420 | <div class="question">Statement 1 For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary.<br/>and Statement 2 If the observer and the object are moving at velocities $\overrightarrow{\mathbf{v}}_{\mathbf{1}}$ and $\overrightarrow{\mathbf{v}_2}$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $\overrightarrow{\mathbf{v}_2}-\overrightarrow{\mathbf{v}_1}$.</div> | ['Physics', 'Motion In Two Dimensions', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/KuQNeOX_19L4lWh8bt_HqtuWD8dcyrw23wpZ4PAV4lA.original.fullsize.png"/><br/><br/>Statement-2, is formula of relative velocity. But it does not explain statement-1 correctly. The correct explanation of statement-1 is due to visual perception of motion. The object appears to be moving faster, when its angular velocity is greater w.r.t observer.<br/>$\therefore$ correct answer is (b).</div> | MarksBatch2_P2.db |
850 | statement-1-for-every-chemical-reaction-at-equilibrium-standard-gibbs-energy-of-reaction-is-zero-statement-2-at-constant-temperature-and-pressure-chem | statement-1-for-every-chemical-reaction-at-equilibrium-standard-gibbs-energy-of-reaction-is-zero-statement-2-at-constant-temperature-and-pressure-chem-12427 | <div class="question">Statement 1 For every chemical reaction at equilibrium, standard Gibbs energy of reaction is zero.<br/>Statement 2 At constant temperature and pressure, chemical reactions are spontaneous in the direction of decreasing Gibbs energy.</div> | ['Chemistry', 'Thermodynamics (C)', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is false, Statement 2 is true</span> </div> | <div class="solution">At equilibrium, its free energy change, is zero and for a spontaneous process, $\Delta G < 0$ but at equilibrium standard free energy is not zero.<br/>Analysis of the Paragraph<img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/tHsQvv8Onx_VMm13JsbgLaMcMgI1uOlms0UbX1PPBmw.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
851 | statement-1-for-practical-purposes-the-earth-is-used-as-a-reference-at-zero-potential-in-electrical-circuits-and-statement-2-the-electrical-potential- | statement-1-for-practical-purposes-the-earth-is-used-as-a-reference-at-zero-potential-in-electrical-circuits-and-statement-2-the-electrical-potential-96327 | <div class="question">Statement 1 For practical purposes, the earth is used as a reference at zero potential in electrical circuits.<br/>and Statement 2 The electrical potential of a sphere of radius $R$ with charge $Q$ uniformly distributed on the surface is given by $\frac{Q}{4 \pi \varepsilon_0 R}$.</div> | ['Physics', 'Electrostatics', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">No solution is required.</div> | MarksBatch2_P2.db |
852 | statement-1-in-a-meter-bridge-experiment-null-point-for-an-unknown-resistance-is-measured-now-the-unknown-resistance-is-put-inside-an-enclosure-mainta | statement-1-in-a-meter-bridge-experiment-null-point-for-an-unknown-resistance-is-measured-now-the-unknown-resistance-is-put-inside-an-enclosure-mainta-47628 | <div class="question">Statement $1 \mathrm{In}$ a Meter Bridge experiment, null point for an unknown resistance is measured. Now, the unknown resistance is put inside an enclosure maintained at a higher temperature. The null point can be obtained at the same point as before by decreasing the value of the standard resistance.<br/>and Statement 2 Resistance of a metal increase with increase in temperature.</div> | ['Physics', 'Current Electricity', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is false, Statement 2 is true</span> </div> | <div class="solution">With increase in temperature, the value of unknown resistance will increase.<br/>In balanced Wheatstone bridge condition, $\frac{R}{X}=\frac{l_1}{l_2}$<br/>Here, $R=$ value of standard resistance,<br/>$X=$ value of unknown resistance .<br/>To take null point at same point or $\frac{l_1}{l_2}$ to remain unchanged, $\frac{R}{X}$ should also remain unchanged. Therefore, if $X$ is increasing $R$ should also increase.<br/>$\therefore$ correct option is (d).</div> | MarksBatch2_P2.db |
853 | statement-1-it-is-easier-to-pull-a-heavy-object-than-to-push-it-on-a-level-ground-and-statement-2-the-magnitude-of-frictional-force-depends-on-the-nat | statement-1-it-is-easier-to-pull-a-heavy-object-than-to-push-it-on-a-level-ground-and-statement-2-the-magnitude-of-frictional-force-depends-on-the-nat-22761 | <div class="question">Statement 1 It is easier to pull a heavy object than to push it on a level ground. <br/>and Statement 2 The magnitude of frictional force depends on the nature of the two surfaces in contact.</div> | ['Physics', 'Laws of Motion', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">Both statements are correct. But statement-2, does not explain correctly, statement- 1 . Correct explanation is : "There is increase in nomal reaction when the object is pushed and there is decrease in normal reaction when the object is pulled (but strictly not horizontally).</div> | MarksBatch2_P2.db |
854 | statement-1-pb-4-compounds-are-stronger-oxidising-agents-than-sn-4-compounds-statement-2-the-higher-oxidation-states-for-the-group-14-elements-are-mor | statement-1-pb-4-compounds-are-stronger-oxidising-agents-than-sn-4-compounds-statement-2-the-higher-oxidation-states-for-the-group-14-elements-are-mor-92917 | <div class="question">Statement $1 \mathrm{~Pb}^{4+}$ compounds are stronger oxidising agents than $\mathrm{Sn}^{4+}$ compounds.<br/>Statement 2 The higher oxidation states for the group 14 elements are more stable for the heavier members of the group due to 'inert pair effect'.</div> | ['Chemistry', 'Chemical Kinetics', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </div> | <div class="solution">In early p-block, on moving top to bottom, the stability of lower oxidation state increases due to inert pair effect. $\mathrm{Pb}^{4+}$ is less stable than $\mathrm{Sn}^{4+}$, making it a better oxidising agent The lower oxidation state for the group 14 elements are more stable for the heavier members.</div> | MarksBatch2_P2.db |
855 | statement-1-the-geometrical-isomer-of-the-complex-m-nh-3-4-cl-2-are-optically-inactive-statement-2-both-geometrical-isomers-of-the-complex-m-nh-3-4-cl-1 | statement-1-the-geometrical-isomer-of-the-complex-m-nh-3-4-cl-2-are-optically-inactive-statement-2-both-geometrical-isomers-of-the-complex-m-nh-3-4-cl-1-95145 | <div class="question">Statement 1 The geometrical isomer of the complex $\left.\left[\mathrm{M}_{\left(\mathrm{NH}_3\right.}\right)_4 \mathrm{Cl}_2\right]$ are optically inactive.<br/>Statement 2 Both geometrical isomers of the complex $\left[\mathrm{M}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]$ possess axis of symmetry.</div> | ['Chemistry', 'Coordination Compounds', 'JEE Main'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">$$<br/>\text { The cis and trans both form of complex }\left[M\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right] \text { are optically inactive }<br/>$$<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/FtWdOPVTJlm8WqdfaL1ldx92aziJzGrJOU5ivVlGO0Q.original.fullsize.png"/><br/><br/>There are plane of symmetry in addition to that there is alternate axis of symmetry $\left(C_n\right)$ which also causes their optical inactivity.<br/>A molecule possesses $n$ fold alternating axis of symmetry, if when rotated through an angle of $360^{\circ} / \mathrm{n}$ about the axis and then followed by reflection in a plane perpendicular to the axis, the molecule is indistinguishable from the original molecule.</div> | MarksBatch2_P2.db |
856 | statement-1-the-geometrical-isomer-of-the-complex-m-nh-3-4-cl-2-are-optically-inactive-statement-2-both-geometrical-isomers-of-the-complex-m-nh-3-4-cl | statement-1-the-geometrical-isomer-of-the-complex-m-nh-3-4-cl-2-are-optically-inactive-statement-2-both-geometrical-isomers-of-the-complex-m-nh-3-4-cl-15143 | <div class="question">Statement 1 The geometrical isomer of the complex $\left.\left[\mathrm{M}_{\left(\mathrm{NH}_3\right.}\right)_4 \mathrm{Cl}_2\right]$ are optically inactive.<br/>Statement 2 Both geometrical isomers of the complex $\left[\mathrm{M}\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right]$ possess axis of symmetry.</div> | ['Chemistry', 'Coordination Compounds', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">$$<br/>\text { The cis and trans both form of complex }\left[M\left(\mathrm{NH}_3\right)_4 \mathrm{Cl}_2\right] \text { are optically inactive }<br/>$$<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/FtWdOPVTJlm8WqdfaL1ldx92aziJzGrJOU5ivVlGO0Q.original.fullsize.png"/><br/><br/>There are plane of symmetry in addition to that there is alternate axis of symmetry $\left(C_n\right)$ which also causes their optical inactivity.<br/>A molecule possesses $n$ fold alternating axis of symmetry, if when rotated through an angle of $360^{\circ} / \mathrm{n}$ about the axis and then followed by reflection in a plane perpendicular to the axis, the molecule is indistinguishable from the original molecule.</div> | MarksBatch2_P2.db |
857 | statement-1-the-plot-of-atomic-number-y-axis-versus-number-of-neutrons-x-axis-for-stable-nuclei-shows-a-curvature-towards-x-axis-from-the-line-of-4-5--1 | statement-1-the-plot-of-atomic-number-y-axis-versus-number-of-neutrons-x-axis-for-stable-nuclei-shows-a-curvature-towards-x-axis-from-the-line-of-4-5-1-13416 | <div class="question">Statement 1 The plot of atomic number ( $Y$-axis) versus number of neutrons ( $x$-axis) for stable nuclei shows a curvature towards $X$-axis from the line of $45^{\circ}$ slope as the atomic number is increased.<br/>Statement 2 Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides.</div> | ['Chemistry', 'Structure of Atom', 'JEE Main'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">The stability relationship can be represented by a line with a slope of $45^{\circ}$, i.e. the maximum stability is attained, when $N=Z$.<br/>Right or the curve a radioactive nuclide would be neutron rich and would decay be $\beta$-emission to produce a daughter nucleus with a lower $\frac{n}{p}$ ratio.<br/>For heavier nuclides, $p-p$ repulsions start to offset the attractive forces and an excess of neutrons over protons, is required for stability<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/Py3NCU1zmM9XeBrO2-gMDPphNiQtSfAi1bDOb_oNNgk.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
858 | statement-1-the-plot-of-atomic-number-y-axis-versus-number-of-neutrons-x-axis-for-stable-nuclei-shows-a-curvature-towards-x-axis-from-the-line-of-4-5- | statement-1-the-plot-of-atomic-number-y-axis-versus-number-of-neutrons-x-axis-for-stable-nuclei-shows-a-curvature-towards-x-axis-from-the-line-of-4-5-94953 | <div class="question">Statement 1 The plot of atomic number ( $Y$-axis) versus number of neutrons ( $x$-axis) for stable nuclei shows a curvature towards $X$-axis from the line of $45^{\circ}$ slope as the atomic number is increased.<br/>Statement 2 Proton-proton electrostatic repulsions begin to overcome attractive forces involving protons and neutrons in heavier nuclides.</div> | ['Chemistry', 'Structure of Atom', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">The stability relationship can be represented by a line with a slope of $45^{\circ}$, i.e. the maximum stability is attained, when $N=Z$.<br/>Right or the curve a radioactive nuclide would be neutron rich and would decay be $\beta$-emission to produce a daughter nucleus with a lower $\frac{n}{p}$ ratio.<br/>For heavier nuclides, $p-p$ repulsions start to offset the attractive forces and an excess of neutrons over protons, is required for stability<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/Py3NCU1zmM9XeBrO2-gMDPphNiQtSfAi1bDOb_oNNgk.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
859 | statement-1-the-sensitivity-of-a-moving-coil-galvanometer-is-increased-by-placing-a-suitable-magnetic-material-as-a-core-inside-the-coil-and-statement | statement-1-the-sensitivity-of-a-moving-coil-galvanometer-is-increased-by-placing-a-suitable-magnetic-material-as-a-core-inside-the-coil-and-statement-32294 | <div class="question">Statement 1 The sensitivity of a moving coil galvanometer is increased by placing a suitable magnetic material as a core inside the coil.<br/>and Statement 2 Soft iron has a high magnetic permeability and cannot be easily magnetized or demagnetized.</div> | ['Physics', 'Magnetic Effects of Current', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </div> | <div class="solution">$c \phi=B I N A$<br/>$$<br/>\therefore \phi=\left(\frac{B N A}{c}\right) I<br/>$$<br/>Using iron core, value of magnetic field increases. So, deflection increases for same current. Hence, sensitivity increases. Soft iron can be easily magnetized or demagnetized.<br/>$\therefore$ correct option is (c).</div> | MarksBatch2_P2.db |
860 | statement-1-the-stream-of-water-flowing-at-high-speed-from-a-garden-hose-pipe-tends-to-spread-like-a-fountain-when-held-vertically-up-but-tends-to-nar | statement-1-the-stream-of-water-flowing-at-high-speed-from-a-garden-hose-pipe-tends-to-spread-like-a-fountain-when-held-vertically-up-but-tends-to-nar-50242 | <div class="question">Statement 1 The stream of water flowing at high speed from a garden hose pipe tends to spread like a fountain when held vertically up, but tends to narrow down when held vertically down.<br/>and Statement 2 In any steady flow of an incompressible fluid, the volume flow rate of the fluid remains constant.</div> | ['Physics', 'Mechanical Properties of Fluids', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">From continuity equation,<br/>$$<br/>A v=\text { constant or } A \propto \frac{1}{v}<br/>$$<br/>At lower heights, speed will be more. Therefore, area of cross-section will be less. $\therefore$ correct option is (a).</div> | MarksBatch2_P2.db |
861 | statement-1-there-is-a-natural-asymmetry-between-converting-work-to-heat-and-converting-heat-to-work-statement-2-no-process-is-possible-in-which-the-s | statement-1-there-is-a-natural-asymmetry-between-converting-work-to-heat-and-converting-heat-to-work-statement-2-no-process-is-possible-in-which-the-s-29434 | <div class="question">Statement 1 There is a natural asymmetry between converting work to heat and converting heat to work.<br/>Statement 2 No process is possible in which the sole result in the absorption of heat from a reservoir and its complete conversion into work.</div> | ['Chemistry', 'Thermodynamics (C)', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </div> | <div class="solution">There is natural asymmetry between converting work to heat and converting heat to work because of the lapse of energy in this process which has been generalised in the form of second law of thermodynamics (Statement II).</div> | MarksBatch2_P2.db |
862 | statement-1-two-cylinders-one-hollow-metal-and-the-other-solid-wood-with-the-same-mass-and-identical-dimensions-are-simultaneously-allowed-to-roll-wit | statement-1-two-cylinders-one-hollow-metal-and-the-other-solid-wood-with-the-same-mass-and-identical-dimensions-are-simultaneously-allowed-to-roll-wit-15696 | <div class="question">Statement 1 Two cylinders, one hollow (metal) and the other solid (wood) with the same mass and identical dimensions are simultaneously allowed to roll without slipping down an inclined plane from the same height. The hollow cylinder will reach the bottom of the inclined plane first.<br/>and Statement 2 By the principle of conservation of energy, the total kinetic energies of both the cylinders are identical when they reach the bottom of the incline.</div> | ['Physics', 'Rotational Motion', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is false, Statement 2 is true</span> </div> | <div class="solution">In case of pure rolling on inclined plane,<br/>$$<br/>\begin{aligned}<br/>& a=\frac{g \sin \theta}{1+I / m R^2} \\<br/>& I_{\text {solid }} < I_{\text {hollow }} \\<br/>\therefore \quad & a_{\text {solid }}>a_{\text {hollow }}<br/>\end{aligned}<br/>$$<br/>$\therefore$ solid cylinder will reach the bottom first.<br/>Further, in case of pure rolling on stationary ground, work done by friction is zero. Therefore, mechanical energy of both the cylinders will remain constant.<br/>$$<br/>\begin{aligned}<br/>& \therefore(\mathrm{KE})_{\text {Hollow }}=(\mathrm{KE})_{\text {solid }}=\text { decrease in } \mathrm{PE}=m g h \\<br/>& \therefore \text { correct option is }(\mathrm{d})<br/>\end{aligned}<br/>$$</div> | MarksBatch2_P2.db |
863 | statement-i-a-block-of-mass-m-starts-moving-on-a-rough-horizontal-surface-with-a-velocity-v-it-stops-due-to-friction-between-the-block-and-the-surface | statement-i-a-block-of-mass-m-starts-moving-on-a-rough-horizontal-surface-with-a-velocity-v-it-stops-due-to-friction-between-the-block-and-the-surface-66941 | <div class="question">Statement I A block of mass $m$ starts moving on a rough horizontal surface with a velocity $v$. It stops due to friction between the block and the surface after moving through a certain distance. The surface is now tilted to an angle of $30^{\circ}$ with the horizontal and the same block is made to go up on the surface with the same initial velocity $v$. The decrease in the mechanical energy in the second situation is smaller than that in the first situation.<br/>Statement II The coefficient of friction between the block and the surface decreases with the increase in the angle of inclination.</div> | ['Physics', 'Work Power Energy', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is false<br/></span> </div> | <div class="solution">In statement I Decrease in mechanical energy in case I will be<br/>$$<br/>\Delta U_1=\frac{1}{2} m v^2<br/>$$<br/>But decrease in mechanical energy in case II will be<br/>$$<br/>\begin{aligned}<br/>& \Delta U_2=\frac{1}{2} m v^2-m g h \\<br/>& \Delta U_2 < \Delta U_1<br/>\end{aligned}<br/>$$<br/>$$<br/>\therefore \quad \Delta U_2 < \Delta U_1<br/>$$<br/>or Statement $\mathrm{I}$ is correct.<br/>In Statement II Coefficient of friction will not change or this Statement is wrong.<br/>$\therefore$ Option (c) is correct.</div> | MarksBatch2_P2.db |
864 | statement-i-a-cloth-covers-a-table-some-dishes-are-kept-on-it-the-cloth-can-be-pulled-out-without-dislodging-the-dishes-from-the-table-statement-ii-fo | statement-i-a-cloth-covers-a-table-some-dishes-are-kept-on-it-the-cloth-can-be-pulled-out-without-dislodging-the-dishes-from-the-table-statement-ii-fo-77607 | <div class="question">Statement I A cloth covers a table. Some dishes are kept on it. The cloth can be pulled out without dislodging the dishes from the table.<br/>Statement II For every action there is an equal and opposite reaction.</div> | ['Physics', 'Laws of Motion', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement.<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </div> | <div class="solution">The cloth can be pulled out without dislodging the dishes from the table due to law of inertia, which is Newton's first law. While the Statement II is true, but it is Newton's third law.<br/>$\therefore$ Correct option is (b).</div> | MarksBatch2_P2.db |
865 | statement-i-a-vertical-iron-rod-has-a-coil-of-wire-wound-over-it-at-the-bottom-end-an-alternating-current-flows-in-the-coil-the-rod-goes-through-a-con-1 | statement-i-a-vertical-iron-rod-has-a-coil-of-wire-wound-over-it-at-the-bottom-end-an-alternating-current-flows-in-the-coil-the-rod-goes-through-a-con-1-40217 | <div class="question">Statement I A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil.<br/>Statement II In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the the upward direction.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/VfxDHPfimERkhriPVyfbv6yyRPMB3cqA6B7YfjZ87qc.original.fullsize.png"/><br/></div> | ['Physics', 'Magnetic Effects of Current', 'JEE Main'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> </div> | <div class="solution">The induced current in the ring will interact with horizontal component of magnetic field and both will repel each other.<br/>This repulsion will balance the weight of ring.<br/>$$<br/>\text { Hence, option (a) is correct. }<br/>$$</div> | MarksBatch2_P2.db |
866 | statement-i-a-vertical-iron-rod-has-a-coil-of-wire-wound-over-it-at-the-bottom-end-an-alternating-current-flows-in-the-coil-the-rod-goes-through-a-con | statement-i-a-vertical-iron-rod-has-a-coil-of-wire-wound-over-it-at-the-bottom-end-an-alternating-current-flows-in-the-coil-the-rod-goes-through-a-con-38131 | <div class="question">Statement I A vertical iron rod has a coil of wire wound over it at the bottom end. An alternating current flows in the coil. The rod goes through a conducting ring as shown in the figure. The ring can float at a certain height above the coil.<br/>Statement II In the above situation, a current is induced in the ring which interacts with the horizontal component of the magnetic field to produce an average force in the the upward direction.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/VfxDHPfimERkhriPVyfbv6yyRPMB3cqA6B7YfjZ87qc.original.fullsize.png"/><br/></div> | ['Physics', 'Magnetic Effects of Current', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> </div> | <div class="solution">The induced current in the ring will interact with horizontal component of magnetic field and both will repel each other.<br/>This repulsion will balance the weight of ring.<br/>$$<br/>\text { Hence, option (a) is correct. }<br/>$$</div> | MarksBatch2_P2.db |
867 | statement-i-alkali-metals-dissolve-in-liquid-ammonia-to-give-blue-solutions-statement-ii-alkali-metals-in-liquid-ammonia-give-solvated-species-of-the- | statement-i-alkali-metals-dissolve-in-liquid-ammonia-to-give-blue-solutions-statement-ii-alkali-metals-in-liquid-ammonia-give-solvated-species-of-the-67150 | <div class="question">Statement I Alkali metals dissolve in liquid ammonia to give blue solutions. Statement II Alkali metals in liquid ammonia give solvated species of the type $\left(M\left(\mathrm{NH}_3\right)_n\right]^{+}(M=$ alkali metals $)$.</div> | ['Chemistry', 's Block Elements', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement $\mathrm{I}$ is false, Statement $\mathrm{II}$ is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </div> | <div class="solution">Alkali metals in ammonia gives blue colour due to ammoniated $e^{-}$</div> | MarksBatch2_P2.db |
868 | statement-i-band-gap-in-germanium-is-small-statement-ii-the-energy-spread-of-each-germanium-atomic-energy-level-is-infinitesimally-small | statement-i-band-gap-in-germanium-is-small-statement-ii-the-energy-spread-of-each-germanium-atomic-energy-level-is-infinitesimally-small-11424 | <div class="question">Statement I Band gap in germanium is small.<br/>Statement II The energy spread of each germanium atomic energy level is infinitesimally small.</div> | ['Chemistry', 'Structure of Atom', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement-I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement-I is talse, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement-I is true, Statement II is false<br/></span> </div> | <div class="solution">Germanium, semi-conductor substance, has small band gap in comparison to insulator (non-metal).<br/>On moving top to bottom in the group 14 band gap decreases.</div> | MarksBatch2_P2.db |
869 | statement-i-boron-always-forms-covalent-bond-statement-ii-the-small-size-of-b-3-favours-formation-of-covalent-bond | statement-i-boron-always-forms-covalent-bond-statement-ii-the-small-size-of-b-3-favours-formation-of-covalent-bond-89710 | <div class="question">Statement I Boron always forms covalent bond<br/>Statement II The small size of $\mathrm{B}^{3+}$ favours formation of covalent bond.</div> | ['Chemistry', 'p Block Elements (Group 13 & 14)', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement II<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </div> | <div class="solution">Boron always form covalent bond because boron requires very high energy to form $\mathrm{B}^{3+}$ and again $\mathrm{B}^{3+}$ due to its very small size having high polarising power thus cause greater polarisation and eventually significant covalent characteristics-Fajans rule.</div> | MarksBatch2_P2.db |
870 | statement-i-glucose-gives-a-reddishbrown-precipitate-with-fehlings-solution-statement-ii-reaction-of-glucose-with-fehlings-solution-gives-cuo-and-gluc | statement-i-glucose-gives-a-reddishbrown-precipitate-with-fehlings-solution-statement-ii-reaction-of-glucose-with-fehlings-solution-gives-cuo-and-gluc-27236 | <div class="question">Statement I Glucose gives a reddish-brown precipitate with Fehling's solution. <br/>Statement II Reaction of glucose with Fehling's solution gives $\mathrm{CuO}$ and gluconic acid.</div> | ['Chemistry', 'Biomolecules', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is false<br/></span> </div> | <div class="solution">Glucose gives a reddish brown precipitate with Fehling's solution. Solution consists of $\mathrm{Cu}^{2+}$ which gets reduced to $\mathrm{Cu}^{+}\left(\mathrm{Cu}_2 \mathrm{O}\right)$.</div> | MarksBatch2_P2.db |
871 | statement-i-if-the-accelerating-potential-in-an-xray-tube-is-increased-the-wavelengths-of-the-characteristic-x-rays-do-not-change-statement-ii-when-an | statement-i-if-the-accelerating-potential-in-an-xray-tube-is-increased-the-wavelengths-of-the-characteristic-x-rays-do-not-change-statement-ii-when-an-99706 | <div class="question">Statement I If the accelerating potential in an X-ray tube is increased, the wavelengths of the characteristic $X$-rays do not change.<br/>Statement II When an electron beam strikes the target in an X-ray tube, part of the kinetic energy is converted into X-ray energy.</div> | ['Physics', 'Electromagnetic Waves', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </div> | <div class="solution">Cut-off wavelength depends on the accelerating voltage, not the characteristic $\mathrm{X}$-rays. Further approximately $2 \%$ kinetic energy of the electrons is utilised in producing X-rays. Rest $98 \%$ is lost in heat.<br/>$\therefore$ Option (b) is correct.</div> | MarksBatch2_P2.db |
872 | statement-i-if-there-is-no-external-torque-on-a-body-about-its-centre-of-mass-then-the-velocity-of-the-centre-of-mass-remains-constant-statement-ii-th-1 | statement-i-if-there-is-no-external-torque-on-a-body-about-its-centre-of-mass-then-the-velocity-of-the-centre-of-mass-remains-constant-statement-ii-th-1-45202 | <div class="question">Statement I If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant.<br/>Statement II The linear momentum of an isolated system remains constant.</div> | ['Physics', 'Center of Mass Momentum and Collision', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is false, Statement II is true</span> </div> | <div class="solution">If a force is applied at centre of mass of a rigid body, its torque about centre of mass will be zero, but acceleration will be non-zero. Hence, velocity will change.<br/>$\therefore$ Correct option is $(\mathrm{d})$.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/yCSMAN6PC8Zm5HMTYvh9XI3XxhFUNW8AbOUSFFi7Klo.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
873 | statement-i-if-there-is-no-external-torque-on-a-body-about-its-centre-of-mass-then-the-velocity-of-the-centre-of-mass-remains-constant-statement-ii-th | statement-i-if-there-is-no-external-torque-on-a-body-about-its-centre-of-mass-then-the-velocity-of-the-centre-of-mass-remains-constant-statement-ii-th-86432 | <div class="question">Statement I If there is no external torque on a body about its centre of mass, then the velocity of the centre of mass remains constant.<br/>Statement II The linear momentum of an isolated system remains constant.</div> | ['Physics', 'Center of Mass Momentum and Collision', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is false, Statement II is true</span> </div> | <div class="solution">If a force is applied at centre of mass of a rigid body, its torque about centre of mass will be zero, but acceleration will be non-zero. Hence, velocity will change.<br/>$\therefore$ Correct option is $(\mathrm{d})$.<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/yCSMAN6PC8Zm5HMTYvh9XI3XxhFUNW8AbOUSFFi7Klo.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
874 | statement-i-in-an-elastic-collision-between-two-bodies-the-relative-speed-of-the-bodies-after-collision-is-equal-to-the-relative-speed-before-the-coll | statement-i-in-an-elastic-collision-between-two-bodies-the-relative-speed-of-the-bodies-after-collision-is-equal-to-the-relative-speed-before-the-coll-83084 | <div class="question">Statement I In an elastic collision between two bodies, the relative speed of the bodies after collision is equal to the relative speed before the collision.<br/>Statement II In an elastic collision, the linear momentum of the system is conserved.</div> | ['Physics', 'Center of Mass Momentum and Collision', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </div> | <div class="solution">In case of elastic collision, coefficient of restitution $e=1$ or relative speed of separation.<br/>$\therefore$ Option (b) is correct.</div> | MarksBatch2_P2.db |
875 | statement-i-in-water-orthoboric-acid-behaves-as-a-weak-monobasic-acid-statement-ii-in-water-orthoboric-acid-acts-as-proton-donor | statement-i-in-water-orthoboric-acid-behaves-as-a-weak-monobasic-acid-statement-ii-in-water-orthoboric-acid-acts-as-proton-donor-32516 | <div class="question">Statement I In water, orthoboric acid behaves as a weak monobasic acid.<br/>Statement II In water, orthoboric acid acts as proton donor.</div> | ['Chemistry', 'p Block Elements (Group 13 & 14)', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is false<br/></span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/OQOeazUA4dd1iVMdu8Earsn8kQ_qy9Kvxjtan4JOfPw.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
876 | statement-i-micelles-are-formed-by-surfactant-molecules-above-the-critical-micellar-concentration-cmc-statement-ii-the-conductivity-of-a-solution-havi | statement-i-micelles-are-formed-by-surfactant-molecules-above-the-critical-micellar-concentration-cmc-statement-ii-the-conductivity-of-a-solution-havi-81694 | <div class="question">Statement I Micelles are formed by surfactant molecules above the critical micellar concentration (CMC).<br/>Statement II The conductivity of a solution having surfactant molecules deceases sharply at the CMC.</div> | ['Chemistry', 'Surface Chemistry', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </div> | <div class="solution">At a certain concentration surfactant molecules start to aggregate and form micelle, the concentration is called critical micellisation concentration (CMC).<br/>Aggregation of surfactant molecules (ions; $\mathrm{RCOO}^{-}$) micelle formation cause effective fall in number of free ions to conduct electricity, thus, conductivity decreases at CMC.</div> | MarksBatch2_P2.db |
877 | statement-i-molecules-that-are-not-superimposable-on-their-mirror-images-are-chiral-statement-ii-all-chiral-molecules-have-chiral-centres | statement-i-molecules-that-are-not-superimposable-on-their-mirror-images-are-chiral-statement-ii-all-chiral-molecules-have-chiral-centres-28170 | <div class="question">Statement I Molecules that are not superimposable on their mirror images are chiral.<br/>Statement II All chiral molecules have chiral centres.</div> | ['Chemistry', 'General Organic Chemistry', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is false<br/></span> </div> | <div class="solution">Molecules having perpendicular dissymmetric plane are supposed to have chirality without having chiral centre. For e.g.,<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/tFZQfp6dezjS_ydCk6zaEP0IrdkNJY4UgtYbHYTq-QA.original.fullsize.png"/><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/AsUh76Jmb6CwH1mbL_ZMG1i0cP_tL_B3nNt9rET_bhg.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
878 | statement-i-phydroxybenzoic-acid-has-a-lower-boiling-point-than-ohydroxybenzoic-acid-statement-ii-ohydroxybenzoic-acid-has-intramolecular-hydrogen-bon-1 | statement-i-phydroxybenzoic-acid-has-a-lower-boiling-point-than-ohydroxybenzoic-acid-statement-ii-ohydroxybenzoic-acid-has-intramolecular-hydrogen-bon-1-93107 | <div class="question">Statement I p-hydroxybenzoic acid has a lower boiling point than o-hydroxybenzoic acid.<br/>Statement II o-hydroxybenzoic acid has intramolecular hydrogen bonding.</div> | ['Chemistry', 'General Organic Chemistry', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is false, Statement II is true</span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/MOtOUfxobjJjqb-CQckuxAPH5FCfWdzfvPVBLkeL73U.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
879 | statement-i-phydroxybenzoic-acid-has-a-lower-boiling-point-than-ohydroxybenzoic-acid-statement-ii-ohydroxybenzoic-acid-has-intramolecular-hydrogen-bon | statement-i-phydroxybenzoic-acid-has-a-lower-boiling-point-than-ohydroxybenzoic-acid-statement-ii-ohydroxybenzoic-acid-has-intramolecular-hydrogen-bon-33667 | <div class="question">Statement I p-hydroxybenzoic acid has a lower boiling point than o-hydroxybenzoic acid.<br/>Statement II o-hydroxybenzoic acid has intramolecular hydrogen bonding.</div> | ['Chemistry', 'General Organic Chemistry', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true, Statement II is not a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is false, Statement II is true</span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/MOtOUfxobjJjqb-CQckuxAPH5FCfWdzfvPVBLkeL73U.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
880 | statement-i-the-curve-y-2-x-2-x-1-is-symmetric-with-respect-to-the-line-x-1-statement-ii-a-parabola-is-symmetric-about-its-axis | statement-i-the-curve-y-2-x-2-x-1-is-symmetric-with-respect-to-the-line-x-1-statement-ii-a-parabola-is-symmetric-about-its-axis-99329 | <div class="question">Statement I The curve $y=-\frac{x^2}{2}+x+1$ is symmetric with respect to the line $x=1$<br/>Statement II A parabola is symmetric about its axis.</div> | ['Mathematics', 'Parabola', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </div> | <div class="solution">$$<br/>\begin{array}{rlrl}<br/>y & =-\frac{x^2}{2}+x+1 \\<br/>\Rightarrow & y-\frac{3}{2} & =-\frac{1}{2}(x-1)^2<br/>\end{array}<br/>$$<br/>It is symmetric about $x=1$.</div> | MarksBatch2_P2.db |
881 | statement-i-the-formula-connecting-u-v-and-f-for-a-spherical-mirror-is-valid-only-for-mirrors-whose-sizes-are-very-small-compared-to-their-radii-of-cu | statement-i-the-formula-connecting-u-v-and-f-for-a-spherical-mirror-is-valid-only-for-mirrors-whose-sizes-are-very-small-compared-to-their-radii-of-cu-53681 | <div class="question">Statement I The formula connecting $u, v$ and $f$ for a spherical mirror is valid only for mirrors whose sizes are very small compared to their radii of curvature. <br/>Statement II Laws of reflection are strictly valid for plane surfaces, but not for large spherical surfaces.</div> | ['Physics', 'Ray Optics', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is false<br/></span> </div> | <div class="solution">Laws of reflection can be applied to any type of surface.<br/>$\therefore$ Correct option is (c).</div> | MarksBatch2_P2.db |
882 | statement-i-the-total-translational-kinetic-energy-of-all-the-molecules-of-a-given-mass-of-an-ideal-gas-is-15-times-the-product-of-its-pressure-and-it | statement-i-the-total-translational-kinetic-energy-of-all-the-molecules-of-a-given-mass-of-an-ideal-gas-is-15-times-the-product-of-its-pressure-and-it-91352 | <div class="question">Statement I The total translational kinetic energy of all the molecules of a given mass of an ideal gas is $1.5$ times the product of its pressure and its volume.<br/>Statement II The molecules of a gas collide with each other and the velocities of the molecules change due to the collision.</div> | ['Physics', 'Kinetic Theory of Gases', 'JEE Advanced', 'JEE Advanced 2007 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is NOT a correct explanation for Statement I<br/></span> </div> | <div class="solution">Total translational kinetic energy $=\frac{3}{2} n R T=\frac{3}{2} P V=1.5 P \mathrm{~V}$<br/>$\therefore$ Correct option is (b).</div> | MarksBatch2_P2.db |
883 | steel-wire-of-length-l-at-4-0-c-is-suspended-from-the-ceiling-and-then-a-mass-m-is-hung-from-its-free-end-the-wire-is-cooled-down-from-4-0-c-to-3-0-c- | steel-wire-of-length-l-at-4-0-c-is-suspended-from-the-ceiling-and-then-a-mass-m-is-hung-from-its-free-end-the-wire-is-cooled-down-from-4-0-c-to-3-0-c-51468 | <div class="question">Steel wire of length $L$ at $40^{\circ} \mathrm{C}$ is suspended from the ceiling and then a mass $m$ is hung from its free end. The wire is cooled down from $40^{\circ} \mathrm{C}$ to $30^{\circ} \mathrm{C}$ to regain its original length $L$. The coefficient of linear thermal expansion of the steel is $10^{-5} /{ }^{\circ} \mathrm{C}$, Young's modulus of steel is $10^{11} \mathrm{~N} / \mathrm{m}^2$ and radius of the wire is $1 \mathrm{~mm}$. Assume that $L>$ diameter of the wire. Then, the value of $m$ in $\mathrm{kg}$ is nearly</div> | ['Physics', 'Thermal Properties of Matter', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">3</span> </div> | <div class="solution">$\Delta l_1=\frac{F L}{A Y}=\frac{m g L}{\pi r^2 Y}=$ Increase in length $\Delta l_2=L \alpha \Delta \theta=$ Decrease in length To regain its original length,<br/>$$<br/>\begin{aligned}<br/>& \Delta l_1 & =\Delta l_2 \\<br/>\therefore & \frac{m g L}{\pi r^2 Y} & =L \alpha \Delta \theta \\<br/>\therefore & m & =\left(\frac{r^2 Y \alpha \Delta \theta}{g}\right)<br/>\end{aligned}<br/>$$<br/>Substituting the values, we get<br/>$$<br/>m \simeq 3 \mathrm{~kg}<br/>$$<br/>$\therefore$ Answer is 3 .<br/>Analysis of Question<br/>Question is very simple. In my opinion any student who have gone through the syllabus once can solve this problem easily.</div> | MarksBatch2_P2.db |
884 | students-i-ii-and-iii-perform-an-experiment-for-measuring-the-acceleration-due-to-gravity-g-using-a-simple-pendulum-they-use-different-lengths-of-the- | students-i-ii-and-iii-perform-an-experiment-for-measuring-the-acceleration-due-to-gravity-g-using-a-simple-pendulum-they-use-different-lengths-of-the-99274 | <div class="question">Students I, II and III perform an experiment for measuring the acceleration due to gravity $(g)$ using a simple pendulum. They use different lengths of the pendulum and/or record time for different number of oscillations. The observations are shown in the table.<br/>Least count for length $=0.1 \mathrm{~cm}$<br/>Least count for time $=0.1 \mathrm{~s}$<br/><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/vlvGSLty-Nbgt7ypLoTmhc8v_JV4M1IqFcYxvSHpk0I.original.fullsize.png"/><br/><br/><br/><br/>If $E_{\mathrm{I}}, E_{\mathrm{II}}$ and $E_{\mathrm{III}}$ are the percentage errors in $g$, i.e., $\left(\frac{\Delta g}{g} \times 100\right)$ for students I, II and III, respectively.</div> | ['Physics', 'Experimental Physics', 'JEE Advanced', 'JEE Advanced 2008 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$E_{\mathrm{I}}=0$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$E_{\mathrm{I}}$ is minimum<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$E_{\mathrm{I}}=E_{\mathrm{II}}$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$E_{\mathrm{II}}$ is maximum</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$E_{\mathrm{I}}$ is minimum<br/></span> </div> | <div class="solution">$$<br/>\begin{aligned}<br/>& T & =2 \pi \sqrt{\frac{l}{g}} \quad \text { or } \quad \frac{t}{n}=2 \pi \sqrt{\frac{l}{g}} \\<br/>\therefore \quad & g & =\frac{\left(4 \pi^2\right)\left(n^2\right) l}{t^2}<br/>\end{aligned}<br/>$$<br/><br/>$\%$ error in $g=\frac{\Delta g}{g} \times 100=\left(\frac{\Delta l}{l}+\frac{2 \cdot \Delta t}{t}\right) \times 100$<br/>$$<br/>\begin{aligned}<br/>& E_{\mathrm{I}}=\left(\frac{0.1}{64}+\frac{2 \times 0.1}{128}\right) \times 100=0.3125 \% \\<br/>& E_{\mathrm{II}}=\left(\frac{0.1}{64}+\frac{2 \times 0.1}{64}\right) \times 100=0.46875 \% \quad E_{\mathrm{III}}=\left(\frac{0.1}{20}+\frac{2 \times 0.1}{36}\right) \times 100=1.055 \%<br/>\end{aligned}<br/>$$<br/>Hence, $E_{\mathrm{I}}$ is minimum.<br/>$\therefore$ correct option is (b).</div> | MarksBatch2_P2.db |
885 | suppose-four-distinct-positive-numbers-a-1-a-2-a-3-and-a-4-are-in-gp-let-b-1-a-1-b-2-b-1-a-2-b-3-b-2-a-3-and-b-4-b-3-a-4-statement-1-the-numbers-b-1-b | suppose-four-distinct-positive-numbers-a-1-a-2-a-3-and-a-4-are-in-gp-let-b-1-a-1-b-2-b-1-a-2-b-3-b-2-a-3-and-b-4-b-3-a-4-statement-1-the-numbers-b-1-b-84071 | <div class="question">Suppose four distinct positive numbers $a_1, a_2, a_3$ and $a_4$ are in GP. Let $b_1=a_1$, $b_2=b_1+a_2, b_3=b_2+a_3$ and $b_4=b_3+a_4$.<br/>Statement 1 The numbers $b_1, b_2, b_3$ and $b_4$ are neither in AP nor in GP.<br/>Statement 2 The numbers $b_1, b_2, b_3$ and $b_4$ are in HP.</div> | ['Mathematics', 'Sequences and Series', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1.<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation for Statement 1.<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>Statement 1 is true, Statement 2 is false.<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement 1 is false, Statement 2 is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement 1 is true, Statement 2 is false.<br/></span> </div> | <div class="solution">Let $a_1=1, a_2=2, a_3=4, a_4=8$<br/>$$<br/>\therefore b_1=1, b_2=3, b_3=7, b_4=15<br/>$$<br/>Clearly, $b_1, b_2, b_3$ and $b_4$ are not in HP.<br/>Statement 2 is false.</div> | MarksBatch2_P2.db |
886 | system-shown-in-figure-is-in-equilibrium-and-at-rest-the-spring-and-string-are-massless-now-the-string-is-cut-the-acceleration-of-mass-2-m-and-m-just- | system-shown-in-figure-is-in-equilibrium-and-at-rest-the-spring-and-string-are-massless-now-the-string-is-cut-the-acceleration-of-mass-2-m-and-m-just-73421 | <div class="question">System shown in figure is in equilibrium and at rest. The spring and string are massless, now the string is cut. The acceleration of mass $2 m$ and $m$ just after the string is cut will be<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/F_gWz2vcxbWlp6GGjRBL5jHFqffW0hYXVd6i_8l9-YM.original.fullsize.png"/><br/></div> | ['Physics', 'Laws of Motion', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$g / 2$ upwards, $g$ downwards<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$g$ upwards, $g / 2$ downwards<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$g$ upwards, $2 g$ downwards<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$2 g$ upwards, $g$ downwards</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$g / 2$ upwards, $g$ downwards<br/></span> </div> | <div class="solution">Initially under equilibrium of mass ' $m$ '<br/>$$<br/>T=m g<br/>$$<br/>Now, the string is cut. Therefore, $T=m g$ force is decreased on mass $m$ upwards and downwards on mass $2 m$.<br/>$$<br/>a_m=\frac{m g}{m}=g \text { (downwards) and }<br/>$$<br/>$$<br/>a_{2 m}=\frac{m g}{2 m}=\frac{g}{2} \text { (upwards) }<br/>$$</div> | MarksBatch2_P2.db |
887 | tangent-is-drawn-at-any-point-p-of-a-curve-which-passes-through-1-1-cutting-x-axis-and-y-axis-at-a-and-b-respectively-if-a-p-bp-3-1-then | tangent-is-drawn-at-any-point-p-of-a-curve-which-passes-through-1-1-cutting-x-axis-and-y-axis-at-a-and-b-respectively-if-a-p-bp-3-1-then-23768 | <div class="question">Tangent is drawn at any point $P$ of a curve which passes through $(1,1)$ cutting $X$-axis and $Y$-axis at $A$ and $B$, respectively. If $A P: B P=3: 1$, then</div> | ['Mathematics', 'Application of Derivatives', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>differential equation of the curve is $3 x \frac{d y}{d x}+y=0$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>differential equation of the curve is $3 x \frac{d y}{d x}-y=0$<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>curve is passing through $\left(\frac{1}{8}, 2\right)$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>normal at $(1,1)$ is $x+3 y=4$</span> </li> </ul> | <div class="correct-answer">
The correct answers are:
<span class="option-value"><br/>differential equation of the curve is $3 x \frac{d y}{d x}+y=0$<br/>, <br/>curve is passing through $\left(\frac{1}{8}, 2\right)$<br/></span> </div> | <div class="solution">Since, $\quad A P: B P=3: 1$<br/>where, equation of tangent is $y-y_1=f^{\prime}(x)\left(x-x_1\right)$<br/>$$<br/>\begin{aligned}<br/>\therefore & A\left(x_1-\frac{y_1}{f^{\prime}\left(x_1\right)}, 0\right) \text { and } B\left(0, y_1-x_1 f^{\prime}(x)\right) \\<br/>& A P: B P=3: 1 \Rightarrow \frac{d y}{d x}=\frac{y}{-3 x} \\<br/>\therefore \quad & 3 x \frac{d y}{d x}+y=0 \quad \text { or } \quad \frac{d y}{y}=-\frac{1}{3 x} d x,<br/>\end{aligned}<br/>$$<br/>On integrating both sides, we get<br/>$$<br/>\begin{array}{lrlr}<br/>\Rightarrow & x y^3 & =1 \\<br/>& \therefore \text { At } & x & =\frac{1}{8} \quad \text { and } \quad y=2<br/>\end{array}<br/>$$<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/dhtulUI2EIb1uiFaZHVNmaiQS7PbvVRaxjWm9Q8Gdlo.original.fullsize.png"/><br/></div> | MarksBatch2_P2.db |
888 | tangents-are-drawn-from-the-point-17-7-to-the-circle-x-2-y-2-169-statement-i-the-tangents-are-mutually-perpendicular-statement-ii-the-locus-of-the-poi | tangents-are-drawn-from-the-point-17-7-to-the-circle-x-2-y-2-169-statement-i-the-tangents-are-mutually-perpendicular-statement-ii-the-locus-of-the-poi-24284 | <div class="question">Tangents are drawn from the point $(17,7)$ to the circle $x^2+y^2=169$.<br/>Statement I The tangents are mutually perpendicular.<br/>Statement II The locus of the points from which mutually perpendicular tangents can be drawn to the given circle is $x^2+y^2=338$</div> | ['Mathematics', 'Circle', 'JEE Advanced', 'JEE Advanced 2007 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement I<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>Statement I is true, Statement II is false<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>Statement I is false, Statement II is true</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>Statement I is true, Statement II is true; Statement II is a correct explanation for Statement I<br/></span> </div> | <div class="solution">Since, the tangents are perpendicular.<br/>So, locus of perpendicular tangents to circle $x^2+y^2=169$ is a director circle having equation<br/>$$<br/>x^2+y^2=338 .<br/>$$</div> | MarksBatch2_P2.db |
889 | tangents-are-drawn-to-the-hyperbola-9-x-2-4-y-2-1-parallel-to-the-straight-line-2-x-y-1-the-points-of-contact-of-the-tangents-on-the-hyperbola-are | tangents-are-drawn-to-the-hyperbola-9-x-2-4-y-2-1-parallel-to-the-straight-line-2-x-y-1-the-points-of-contact-of-the-tangents-on-the-hyperbola-are-53349 | <div class="question">Tangents are drawn to the hyperbola $\frac{x^{2}}{9}-\frac{y^{2}}{4}=1$, parallel to the straight line $2 x-y=1$. The points of contact of the tangents on the hyperbola are</div> | ['Mathematics', 'Hyperbola', 'JEE Advanced', 'JEE Advanced 2012 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">$\left(\frac{9}{2 \sqrt{2}}, \frac{1}{\sqrt{2}}\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data">$\left(-\frac{9}{2 \sqrt{2}},-\frac{1}{\sqrt{2}}\right)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data">$(3 \sqrt{3},-2 \sqrt{2})$</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">$(-3 \sqrt{3}, 2 \sqrt{2})$</span> </li> </ul> | <div class="correct-answer">
The correct answers are:
<span class="option-value">$\left(\frac{9}{2 \sqrt{2}}, \frac{1}{\sqrt{2}}\right)$, $\left(-\frac{9}{2 \sqrt{2}},-\frac{1}{\sqrt{2}}\right)$</span> </div> | <div class="solution">If slope of tangents to hyperbola $\frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1$ is $m$,
<br/> <br/>then equations of tangent to the hyperbola is
<br/> <br/>$y=m x \pm \sqrt{a^{2} m^{2}-b^{2}} \quad$ with the points of contact
<br/> <br/>$\quad\left(\quad \pm a^{2} m\right.$
<br/> <br/>$\left.\frac{\pm \sqrt{a^{2} m^{2}-b^{2}}}{\sqrt{a^{2} m^{2}-b^{2}}}\right)$
<br/> <br/>$\therefore$ Tangent to hyperbola $\frac{x^{2}}{9}-\frac{y^{2}}{4}=1$ is parallel to $2 x-y=1$,
<br/> <br/>$\therefore$ Slope of tangent $=2$
<br/> <br/>$\therefore$ Points of contact are $\left(\frac{\pm 9 \times 2}{\sqrt{9 \times 4-4}}, \frac{\pm 4}{\sqrt{9 \times 4-4}}\right)$
<br/> <br/>i.e. $\left(\frac{9}{2 \sqrt{2}}, \frac{1}{\sqrt{2}}\right)$ and $\left(\frac{-9}{2 \sqrt{2}}, \frac{-1}{\sqrt{2}}\right)$</div> | MarksBatch2_P2.db |
890 | tangents-drawn-from-the-point-p-1-8-to-the-circle-x-2-y-2-6-x-4-y-11-0-touch-the-circle-at-the-points-a-and-b-the-equation-of-the-circumcircle-of-p-a- | tangents-drawn-from-the-point-p-1-8-to-the-circle-x-2-y-2-6-x-4-y-11-0-touch-the-circle-at-the-points-a-and-b-the-equation-of-the-circumcircle-of-p-a-35614 | <div class="question">Tangents drawn from the point $P(1,8)$ to the circle $x^2+y^2-6 x-4 y-11=0$ touch the circle at the points $A$ and $B$. The equation of the circumcircle of $\triangle P A B$ is</div> | ['Mathematics', 'Circle', 'JEE Advanced', 'JEE Advanced 2009 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$x^2+y^2+4 x-6 y+19=0$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$x^2+y^2-4 x-10 y+19=0$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$x^2+y^2-2 x+6 y-29=0$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$x^2+y^2-6 x-4 y+19=0$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$x^2+y^2-4 x-10 y+19=0$<br/></span> </div> | <div class="solution">For required circle, $P(1,8)$ and $O(3,2)$ will be the end point of its diameter.<br/>$$<br/>\begin{aligned}<br/>& \therefore(x-1)(x-3)+(y-8)(y-2)=0 \\<br/>& \Rightarrow \quad x^2+y^2-4 x-10 y+19=0<br/>\end{aligned}<br/>$$</div> | MarksBatch2_P2.db |
891 | the-activity-of-a-freshly-prepared-radioactive-sample-is-1-0-10-disintegrations-per-second-whose-mean-life-is-1-0-9-s-the-mass-of-an-atom-of-this-radi | the-activity-of-a-freshly-prepared-radioactive-sample-is-1-0-10-disintegrations-per-second-whose-mean-life-is-1-0-9-s-the-mass-of-an-atom-of-this-radi-25226 | <div class="question">The activity of a freshly prepared radioactive sample is $10^{10}$ disintegrations per second, whose mean life is $10^{-9} \mathrm{~s}$. The mass of an atom of this radioisotope is $10^{-25} \mathrm{~kg}$. The mass (in $\mathrm{mg}$ ) of the radioactive sample is</div> | ['Physics', 'Nuclear Physics', 'JEE Advanced', 'JEE Advanced 2011 (Paper 1)'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">1</span> </div> | <div class="solution">Activity $\left(-\frac{d N}{d t}\right)=\lambda N=\left(\frac{1}{t_{\text {mean }}}\right) \times N$<br/>$$<br/>\begin{aligned}<br/>& \therefore \quad N=\left(-\frac{d N}{d t}\right) \times t_{\text {mean }} \\<br/>& \quad=\text { Total number of atoms } \\<br/>& \text { Mass of one atom is } 10^{-25} \mathrm{~kg}=m \text { (say) } \\<br/>& \therefore \quad \text { Total mass of radioactive substance } \\<br/>& =(\text { number of atoms) } \\<br/>& \quad \times(\text { mass of one atom) } \\<br/>& =\left(-\frac{d N}{d t}\right)\left(t_{\text {mean }}\right)(m)<br/>\end{aligned}<br/>$$<br/>Substituting the values, we get<br/>Total mass of radioactive substance<br/>$$<br/>=1 \mathrm{mg}<br/>$$<br/>$\therefore$ Answer is 1 .<br/>Analysis of Question<br/>Question is very simple. Again in my opinion one can solve it.</div> | MarksBatch2_P2.db |
892 | the-area-of-the-region-between-the-curves-y-c-o-s-x-1-s-i-n-x-and-y-c-o-s-x-1-s-i-n-x-bounded-by-the-lines-x-0-and-x-4-is | the-area-of-the-region-between-the-curves-y-c-o-s-x-1-s-i-n-x-and-y-c-o-s-x-1-s-i-n-x-bounded-by-the-lines-x-0-and-x-4-is-29782 | <div class="question">The area of the region between the curves $y=\sqrt{\frac{1+\sin x}{\cos x}}$ and $y=\sqrt{\frac{1-\sin x}{\cos x}}$ bounded by the lines $x=0$ and $x=\frac{\pi}{4}$ is</div> | ['Mathematics', 'Area Under Curves', 'JEE Advanced', 'JEE Advanced 2008 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$\int_0^{\sqrt{2}-1} \frac{t}{\left(1+t^2\right) \sqrt{1-t^2}} d t$<br/></span> </li><li class="correct"> <span class="option-label">B</span> <span class="option-data"><br/>$\int_0^{\sqrt{2}-1} \frac{4 t}{\left(1+t^2\right) \sqrt{1-t^2}} d t$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$\int_0^{\sqrt{2}+1} \frac{4 t}{\left(1+t^2\right) \sqrt{1-t^2}} d t$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$\int_0^{\sqrt{2}+1} \frac{t}{\left(1+t^2\right) \sqrt{1-t^2}} d t$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$\int_0^{\sqrt{2}-1} \frac{4 t}{\left(1+t^2\right) \sqrt{1-t^2}} d t$<br/></span> </div> | <div class="solution">$$<br/>\begin{aligned}<br/>& \text { Required area }=\int_0^{\pi / 4}\left(\sqrt{\frac{1+\sin x}{\cos x}}-\sqrt{\frac{1-\sin x}{\cos x}}\right) d x \quad\left[\because \frac{1+\sin x}{\cos x}>\frac{1-\sin x}{\cos x}>0\right] \\<br/>& \left.=\int_0^{\pi / 4} \sqrt{\frac{1+\frac{2 \tan \frac{x}{2}}{1+\tan ^2 \frac{x}{2}}}{\frac{1-\tan ^2 \frac{x}{2}}{1+\tan ^2 \frac{x}{2}}}} \sqrt{\frac{1-\frac{2 \tan \frac{x}{2}}{1+\tan ^2 \frac{x}{2}}}{\frac{1-\tan ^2 \frac{x}{2}}{1+\tan ^2 \frac{x}{2}}}}\right) d x \\<br/>& \left.=\int_0^{\pi / 4} \sqrt{\frac{1+\tan \frac{x}{2}}{1-\tan \frac{x}{2}}}-\sqrt{\frac{1-\tan \frac{x}{2}}{1+\tan \frac{x}{2}}}\right) d x \\<br/>&<br/>\end{aligned}<br/>$$<br/><br/>$$<br/>=\int_0^{\pi / 4} \frac{1+\tan \frac{x}{2}-1+\tan \frac{x}{2}}{\sqrt{1-\tan ^2 \frac{x}{2}}} d x=\int_0^{\pi / 4} \frac{2 \tan \frac{x}{2}}{\sqrt{1-\tan ^2 \frac{x}{2}}} d x<br/>$$<br/>Put $\tan \frac{x}{2}=t$<br/>$$<br/>\begin{aligned}<br/>\Rightarrow \quad \frac{1}{2} \sec ^2 \frac{x}{2} d x & =d t \\<br/>\therefore \text { Required area } & =\int_0^{\tan \frac{\pi}{8}} \frac{4 t d t}{\left(1+t^2\right) \sqrt{1-t^2}} \\<br/>& =\int_0^{\sqrt{2}-1} \frac{4 t}{\left(1+t^2\right) \sqrt{1-t^2}} d t \quad\left[\text { astan } \frac{\pi}{8}=\sqrt{2}-1\right]<br/>\end{aligned}<br/>$$</div> | MarksBatch2_P2.db |
893 | the-bond-energy-in-kcal-mol-1-of-c-c-single-bond-is-approximately | the-bond-energy-in-kcal-mol-1-of-c-c-single-bond-is-approximately-86764 | <div class="question">The bond energy (in $\mathrm{kcal} \mathrm{mol}^{-1}$ ) of $\mathrm{C}-\mathrm{C}$ single bond is approximately</div> | ['Chemistry', 'Chemical Bonding and Molecular Structure', 'JEE Advanced', 'JEE Advanced 2010 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>1<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>10<br/></span> </li><li class="correct"> <span class="option-label">C</span> <span class="option-data"><br/>100<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>1000</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>100<br/></span> </div> | <div class="solution">The bond energy of a $\mathrm{C}-\mathrm{C}$ single bond is approximately $100 \mathrm{kcal} \mathrm{mol}^{-1}$.<br/>Energetics<br/>Factual (usually it is not expected to be learnt)<br/>III</div> | MarksBatch2_P2.db |
894 | the-carboxyl-functional-group-cooh-is-present-in-1 | the-carboxyl-functional-group-cooh-is-present-in-1-44416 | <div class="question">The carboxyl functional group $(-\mathrm{COOH})$ is present in</div> | ['Chemistry', 'Carboxylic Acid Derivatives', 'JEE Main'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">picricacid</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">barbituric acid</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">ascorbic acid</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">aspirin</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">aspirin</span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/k7WmyASwckIsJjDhjh_uSBzZYXTpaYekwJJYDtvj4NA.original.fullsize.png"/><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/Lx1913Cy53_MT4XdgRq0yhP74rb0KP77fzdxGMTr0eU.original.fullsize.png"/></div> | MarksBatch2_P2.db |
895 | the-carboxyl-functional-group-cooh-is-present-in | the-carboxyl-functional-group-cooh-is-present-in-66241 | <div class="question">The carboxyl functional group $(-\mathrm{COOH})$ is present in</div> | ['Chemistry', 'Carboxylic Acid Derivatives', 'JEE Advanced', 'JEE Advanced 2012 (Paper 1)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data">picricacid</span> </li><li class=""> <span class="option-label">B</span> <span class="option-data">barbituric acid</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">ascorbic acid</span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data">aspirin</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">aspirin</span> </div> | <div class="solution"><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/k7WmyASwckIsJjDhjh_uSBzZYXTpaYekwJJYDtvj4NA.original.fullsize.png"/><br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/Lx1913Cy53_MT4XdgRq0yhP74rb0KP77fzdxGMTr0eU.original.fullsize.png"/></div> | MarksBatch2_P2.db |
896 | the-centres-of-two-circles-c-1-and-c-2-each-of-unit-radius-are-at-a-distance-of-6-units-from-each-other-let-p-be-the-midpoint-of-the-line-segment-join-1 | the-centres-of-two-circles-c-1-and-c-2-each-of-unit-radius-are-at-a-distance-of-6-units-from-each-other-let-p-be-the-midpoint-of-the-line-segment-join-1-83250 | <div class="question">The centres of two circles $C_1$ and $C_2$ each of unit radius are at a distance of 6 units from each other. Let $P$ be the mid-point of the line segment joining the centres of $C_1$ and $C_2$ and $C$ be a circle touching circles $C_1$ and $C_2$ externally. If a common tangents to $C_1$ and $C$ passing through $P$ is also a common tangent to $C_2$ and $C$, then the radius of the circle $C$ is</div> | ['Mathematics', 'Circle', 'JEE Advanced', 'JEE Advanced 2009 (Paper 2)'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">8</span> </div> | <div class="solution">$(r+1)^2=\alpha^2+9$<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/P12uKGaiUhyU7Pkj_8wW1RmlxbN2wB15mKll54U7qWE.original.fullsize.png"/><br/><br/><br/>$$<br/>\begin{array}{lc}<br/>\Rightarrow & r^2+8=\alpha^2 \\<br/>\Rightarrow & r^2+2 r+1=r^2+8+9 \\<br/>\Rightarrow & 2 r=16 \Rightarrow r=8<br/>\end{array}<br/>$$</div> | MarksBatch2_P2.db |
897 | the-centres-of-two-circles-c-1-and-c-2-each-of-unit-radius-are-at-a-distance-of-6-units-from-each-other-let-p-be-the-midpoint-of-the-line-segment-join-2 | the-centres-of-two-circles-c-1-and-c-2-each-of-unit-radius-are-at-a-distance-of-6-units-from-each-other-let-p-be-the-midpoint-of-the-line-segment-join-2-85432 | <div class="question">The centres of two circles $C_1$ and $C_2$ each of unit radius are at a distance of 6 units from each other. Let $P$ be the mid-point of the line segment joining the centres of $C_1$ and $C_2$ and $C$ be a circle touching circles $C_1$ and $C_2$ externally. If a common tangents to $C_1$ and $C$ passing through $P$ is also a common tangent to $C_2$ and $C$, then the radius of the circle $C$ is</div> | ['Mathematics', 'Circle', 'JEE Main'] | None | <div class="correct-answer">
The correct answer is:
<span class="option-value">8</span> </div> | <div class="solution">$(r+1)^2=\alpha^2+9$<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/P12uKGaiUhyU7Pkj_8wW1RmlxbN2wB15mKll54U7qWE.original.fullsize.png"/><br/><br/><br/>$$<br/>\begin{array}{lc}<br/>\Rightarrow & r^2+8=\alpha^2 \\<br/>\Rightarrow & r^2+2 r+1=r^2+8+9 \\<br/>\Rightarrow & 2 r=16 \Rightarrow r=8<br/>\end{array}<br/>$$</div> | MarksBatch2_P2.db |
898 | the-circle-passing-through-the-point-1-0-and-touching-the-y-axis-at-0-2-also-passes-through-the-point | the-circle-passing-through-the-point-1-0-and-touching-the-y-axis-at-0-2-also-passes-through-the-point-57429 | <div class="question">The circle passing through the point $(-1,0)$ and touching the $Y$-axis at $(0,2)$, also passes through the point</div> | ['Mathematics', 'Circle', 'JEE Advanced', 'JEE Advanced 2011 (Paper 2)'] | <ul class="options"> <li class=""> <span class="option-label">A</span> <span class="option-data"><br/>$\left(-\frac{3}{2}, 0\right)$<br/></span> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$\left(-\frac{5}{2}, 2\right)$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$\left(-\frac{3}{2}, \frac{5}{2}\right)$<br/></span> </li><li class="correct"> <span class="option-label">D</span> <span class="option-data"><br/>$(-1,-4)$</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$(-1,-4)$</span> </div> | <div class="solution">Equation of circle passing through a point $\left(x_1, y_1\right)$ and touching the straight line $L$, is given by<br/>$$<br/>\left(x-x_1\right)^2+\left(y-y_1\right)^2=\lambda L=0<br/>$$<br/>$\therefore$ Equation of circle passing through $(0,2)$ and touching $x=0$.<br/>Now, $(x-0)^2+(y-2)^2+\lambda x=0 \ldots$ (i)<br/>Also, it passes through $(-1,0)$.<br/>So, $1+4-\lambda=0 \Rightarrow \lambda=5$<br/>Eq. (i) becomes,<br/>$$<br/>\begin{aligned}<br/>& x^2+y^2-4 y+4+5 x=0 \\<br/>\Rightarrow \quad x^2+y^2+5 x-4 y+4 & =0<br/>\end{aligned}<br/>$$<br/>For $x$-intercept, put $y=0$,<br/>$$<br/>\begin{array}{rlrl} <br/>& x^2+5 x+4 & =0 \\<br/>\Rightarrow & & (x+1)(x+4) & =0 \\<br/>\therefore & & x & =-1,-4<br/>\end{array}<br/>$$</div> | MarksBatch2_P2.db |
899 | the-circular-scale-of-a-screw-gauge-has-50-divisions-and-pitch-of-05-mm-find-the-diameter-of-sphere-main-scale-reading-is-2 | the-circular-scale-of-a-screw-gauge-has-50-divisions-and-pitch-of-05-mm-find-the-diameter-of-sphere-main-scale-reading-is-2-51827 | <div class="question">The circular scale of a screw gauge has 50 divisions and pitch of $0.5 \mathrm{~mm}$. Find the diameter of sphere. Main scale reading is 2 .<br/><img src="https://cdn-question-pool.getmarks.app/pyq/jee_advanced/VASXFazDcy_MWn37WFedHJCS7GriIFZHYPqEImRmNPU.original.fullsize.png"/><br/></div> | ['Physics', 'Experimental Physics', 'JEE Advanced', 'JEE Advanced 2006'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data"><br/>$1.2$<br/></span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data"><br/>$1.25$<br/></span> </li><li class=""> <span class="option-label">C</span> <span class="option-data"><br/>$2.20$<br/></span> </li><li class=""> <span class="option-label">D</span> <span class="option-data"><br/>$2.25$</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value"><br/>$1.2$<br/></span> </div> | <div class="solution">Least count $\mathrm{LC}=\frac{\text { Pitch }}{\text { Number of divisions on circular scale }}=\frac{0.1}{50}$ $=0.01 \mathrm{~mm}$<br/>Now, diameter of ball $=(2 \times 0.5 \mathrm{~mm})+(25-5)(0.01)=1.2 \mathrm{~mm}$</div> | MarksBatch2_P2.db |
900 | the-colour-of-light-absorbed-by-an-aqueous-solution-of-cuso-4-is | the-colour-of-light-absorbed-by-an-aqueous-solution-of-cuso-4-is-22097 | <div class="question">The colour of light absorbed by an aqueous solution of $\mathrm{CuSO}_{4}$ is:</div> | ['Chemistry', 'd and f Block Elements', 'JEE Advanced', 'JEE Advanced 2012 (Paper 1)'] | <ul class="options"> <li class="correct"> <span class="option-label">A</span> <span class="option-data">orange-red</span> <svg fill="none" height="24" viewbox="0 0 24 24" width="24" xmlns="http://www.w3.org/2000/svg"> <path d="M12 2.25C10.0716 2.25 8.18657 2.82183 6.58319 3.89317C4.97982 4.96452 3.73013 6.48726 2.99218 8.26884C2.25422 10.0504 2.06114 12.0108 2.43735 13.9021C2.81355 15.7934 3.74215 17.5307 5.10571 18.8943C6.46928 20.2579 8.20656 21.1865 10.0979 21.5627C11.9892 21.9389 13.9496 21.7458 15.7312 21.0078C17.5127 20.2699 19.0355 19.0202 20.1068 17.4168C21.1782 15.8134 21.75 13.9284 21.75 12C21.7473 9.41498 20.7192 6.93661 18.8913 5.10872C17.0634 3.28084 14.585 2.25273 12 2.25ZM16.2806 10.2806L11.0306 15.5306C10.961 15.6004 10.8783 15.6557 10.7872 15.6934C10.6962 15.7312 10.5986 15.7506 10.5 15.7506C10.4014 15.7506 10.3038 15.7312 10.2128 15.6934C10.1218 15.6557 10.039 15.6004 9.96938 15.5306L7.71938 13.2806C7.57865 13.1399 7.49959 12.949 7.49959 12.75C7.49959 12.551 7.57865 12.3601 7.71938 12.2194C7.86011 12.0786 8.05098 11.9996 8.25 11.9996C8.44903 11.9996 8.6399 12.0786 8.78063 12.2194L10.5 13.9397L15.2194 9.21937C15.2891 9.14969 15.3718 9.09442 15.4628 9.0567C15.5539 9.01899 15.6515 8.99958 15.75 8.99958C15.8486 8.99958 15.9461 9.01899 16.0372 9.0567C16.1282 9.09442 16.2109 9.14969 16.2806 9.21937C16.3503 9.28906 16.4056 9.37178 16.4433 9.46283C16.481 9.55387 16.5004 9.65145 16.5004 9.75C16.5004 9.84855 16.481 9.94613 16.4433 10.0372C16.4056 10.1282 16.3503 10.2109 16.2806 10.2806Z" fill="#24A865"></path> </svg> </li><li class=""> <span class="option-label">B</span> <span class="option-data">blue-green</span> </li><li class=""> <span class="option-label">C</span> <span class="option-data">yellow</span> </li><li class=""> <span class="option-label">D</span> <span class="option-data">violet</span> </li> </ul> | <div class="correct-answer">
The correct answer is:
<span class="option-value">orange-red</span> </div> | <div class="solution">$\mathrm{CuSO}_{4}$ will be absorbing orange-red colour and hence will be of blue colour.</div> | MarksBatch2_P2.db |
Subsets and Splits