index
int64 1
560
| question_number
stringclasses 99
values | question_type
stringclasses 4
values | question_text
stringlengths 0
813
⌀ | marks
int64 0
25
⌀ | related_topics
sequencelengths 0
8
⌀ | related_chapter
stringclasses 30
values | figure_paths
sequencelengths 0
3
⌀ | sub_parts
listlengths 0
5
⌀ | options
dict | or_question
dict | vi_candidate
bool 1
class | assertion
stringclasses 23
values | reason
stringclasses 23
values | case_study_text
stringclasses 9
values | sub_questions
listlengths 0
4
⌀ |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
401 | 2 | standard | An infinite long straight wire having a charge density $\lambda$ is kept along y'y axis in x-y plane. The Coulomb force on a point charge q at a point P (x, 0) will be | 1 | [
"Electric field due to an infinitely long straight wire",
"Coulomb's law"
] | Electric Charges and Fields | null | null | {
"A": "attractive and $\\frac{q\\lambda}{2\\pi\\epsilon_0 x}$",
"B": "repulsive and $\\frac{q\\lambda}{2\\pi\\epsilon_0 x}$",
"C": "attractive and $\\frac{q\\lambda}{\\pi\\epsilon_0 x}$",
"D": "repulsive and $\\frac{q\\lambda}{\\pi\\epsilon_0 x}$"
} | null | false | null | null | null | null |
402 | 3 | standard | The phase difference between electric field $\vec{E}$ and magnetic field $\vec{B}$ in an electromagnetic wave propagating along z-axis is – | 1 | [
"Electromagnetic waves",
"Properties of electromagnetic waves"
] | Electromagnetic Waves | null | null | {
"A": "zero",
"B": "$\\pi$",
"C": "$\\frac{\\pi}{2}$",
"D": "$\\frac{\\pi}{4}$"
} | null | false | null | null | null | null |
403 | 4 | standard | In Balmer series of hydrogen atom, as the wavelength of spectral lines decreases, they appear | 1 | [
"Hydrogen spectrum",
"Balmer series"
] | Atoms | null | null | {
"A": "equally spaced and equally intense.",
"B": "further apart and stronger in intensity.",
"C": "closer together and stronger in intensity.",
"D": "closer together and weaker in intensity."
} | null | false | null | null | null | null |
404 | 5 | standard | Two long straight parallel conductors A and B, kept at a distance r, carry current I in opposite directions. A third identical conductor C, kept at a distance $(\frac{r}{3})$ from A carry current $I_1$ in the same direction as in A. The net magnetic force on unit length of C is | 1 | [
"Force between parallel currents",
"Magnetic force on a current-carrying conductor"
] | Moving Charges and Magnetism | null | null | {
"A": "$\\frac{3\\mu_0 I I_1}{2\\pi r}$, towards A",
"B": "$\\frac{3\\mu_0 I I_1}{2\\pi r}$, towards B",
"C": "$\\frac{3\\mu_0 I I_1}{4\\pi r}$, towards A",
"D": "$\\frac{3\\mu_0 I I_1}{4\\pi r}$, towards B"
} | null | false | null | null | null | null |
405 | 6 | standard | A coil of N turns is placed in a magnetic field $\vec{B}$ such that $\vec{B}$ is perpendicular to the plane of the coil. B changes with time as $B = B_0 \cos\left(\frac{2\pi t}{T}\right)$ where T is time period. The magnitude of emf induced in the coil will be maximum at | 1 | [
"Faraday's Laws",
"Induced EMF"
] | Electromagnetic Induction | [
"img\\img_120.jpeg"
] | null | {
"A": "t = $\\frac{nT}{8}$",
"B": "t = $\\frac{nT}{4}$",
"C": "t = $\\frac{nT}{2}$",
"D": "t = nT"
} | null | null | null | null | null | null |
406 | 7 | standard | A circular loop A of radius R carries a current I. Another circular loop B of radius r=$\frac{R}{20}$ is placed concentrically in the plane of A. The magnetic flux linked with loop B is proportional to | 1 | [
"Magnetic Flux",
"Magnetic Field due to a current loop"
] | Moving Charges and Magnetism | null | null | {
"A": "R",
"B": "$\\sqrt{R}$",
"C": "R$^{3/2}$",
"D": "R$^{2}$"
} | null | null | null | null | null | null |
407 | 8 | standard | A galvanometer of resistance 100 $\Omega$ is converted into an ammeter of range (0 – 1 A) using a resistance of 0.1 $\Omega$. The ammeter will show full scale deflection for a current of about | 1 | [
"Moving Coil Galvanometer",
"Ammeter Conversion"
] | Moving Charges and Magnetism | null | null | {
"A": "0.1 mA",
"B": "1 mA",
"C": "10 mA",
"D": "0.1 A"
} | null | null | null | null | null | null |
408 | 9 | standard | The r.m.s. value of a current given by i = ($i_1 \cos \omega t + i_2 \sin \omega t$) is – | 1 | [
"Alternating Current",
"RMS Value"
] | Alternating Current | null | null | {
"A": "$\\frac{1}{\\sqrt{2}}(i_1 + i_2)$",
"B": "$\\frac{1}{\\sqrt{2}}(i_1 - i_2)$",
"C": "$\\frac{1}{\\sqrt{2}}\\sqrt{(i_1^2 + i_2^2)}$",
"D": "$\\frac{1}{\\sqrt{2}}(i_1^2 + i_2^2)$"
} | null | null | null | null | null | null |
409 | 10 | standard | The quantum nature of light explains the observations on photoelectric effect as – | 1 | [
"Photoelectric Effect",
"Quantum nature of light"
] | Dual Nature of Radiation and Matter | null | null | {
"A": "there is a minimum frequency of incident radiation below which no electrons are emitted.",
"B": "the maximum kinetic energy of photoelectrons depends only on the frequency of incident radiation.",
"C": "when the metal surface is illuminated, electrons are ejected from the surface after sometime.",
"D": "the photoelectric current is independent of the intensity of incident radiation."
} | null | null | null | null | null | null |
410 | 11. | standard | The magnetic susceptibility for a diamagnetic material is | 1 | [
"Magnetic properties of materials",
"Diamagnetism"
] | Magnetism and Matter | [
"img\\img.120.jpeg"
] | null | {
"A": "small and negative",
"B": "small and positive",
"C": "large and negative",
"D": "large and positive"
} | null | false | null | null | null | null |
411 | 12. | standard | The radius ($r_n$) of $n^{th}$ orbit in Bohr model of hydrogen atom varies with n as | 1 | [
"Bohr model of hydrogen atom",
"Radius of nth orbit"
] | Atoms | [
"img\\img.120.jpeg"
] | null | {
"A": "$r_n \\propto n$",
"B": "$r_n \\propto \\frac{1}{n}$",
"C": "$r_n \\propto n^2$",
"D": "$r_n \\propto \\frac{1}{n^2}$"
} | null | false | null | null | null | null |
412 | 13. | assertion_reason | null | 1 | [
"Drift velocity",
"Current electricity"
] | Current Electricity | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
} | null | null | When electrons drift in a conductor, it does not mean that all free electrons in the conductor are moving in the same direction. | The drift velocity is superposed over large random velocities of electrons. | null | null |
413 | 14. | assertion_reason | null | 1 | [
"Interference of light",
"Diffraction of light",
"Conservation of energy"
] | Wave Optics | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
} | null | null | In interference and diffraction of light, light energy reduces in one region producing a dark fringe. It increases in another region and produces a bright fringe. | This happens because energy is not conserved in the phenomena of interference and diffraction. | null | null |
414 | 15. | assertion_reason | null | 1 | [
"Temperature dependence of resistance",
"Metals",
"Semiconductors",
"Charge carriers"
] | Current Electricity | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
} | null | null | The temperature coefficient of resistance is positive for metals and negative for p-type semiconductors. | The charge carriers in metals are negatively charged, whereas the majority charge carriers in p-type semiconductors are positively charged. | null | null |
415 | 16. | assertion_reason | null | 1 | [
"Photoelectric effect",
"Work function",
"Photons"
] | Dual Nature of Radiation and Matter | null | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).",
"C": "If Assertion (A) is true and Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
} | null | null | Electrons are ejected from the surface of zinc when it is irradiated by yellow light. | Energy associated with a photon of yellow light is more than the work function of zinc. | null | null |
416 | 22 | standard | (a) (i) Define mutual inductance. Write its SI unit.
(ii) Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁). | 3 | [
"Mutual Inductance",
"Electromagnetic Induction",
"Solenoid"
] | Electromagnetic Induction | [
"img\\img_120.jpeg"
] | [
{
"part": "(i)",
"text": "Define mutual inductance. Write its SI unit."
},
{
"part": "(ii)",
"text": "Derive an expression for the mutual inductance of a system of two long coaxial solenoids of same length l, having turns N₁ and N₂ and of radii r₁ and r₂ (> r₁)."
}
] | null | {
"figure_paths": [
"img\\img_120.jpeg"
],
"marks": 3,
"options": null,
"or_question": null,
"question_number": "22",
"question_text": "(b) What are ferromagnetic materials ? Explain ferromagnetism with the help of suitable diagrams, using the concept of magnetic domain.",
"question_type": "standard",
"related_chapter": "Magnetism and Matter",
"related_topics": [
"Ferromagnetic Materials",
"Magnetism",
"Magnetic Domains"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
} | false | null | null | null | null |
417 | 23 | standard | Two conducting spherical shells A and B of radii R and 2R are kept far apart and charged to the same charge density \(\sigma\). They are connected by a wire. Obtain an expression for final potential of shell A. | 3 | [
"Electric Potential",
"Capacitance",
"Spherical Shell"
] | Electrostatic Potential and Capacitance | [] | null | null | null | false | null | null | null | null |
418 | 24 | standard | Draw the graph showing variation of scattered particles detected (N) with the scattering angle (\(\theta\)) in Geiger-Marsden experiment. Write two conclusions that you can draw from this graph. Obtain the expression for the distance of closest approach in this experiment. | 3 | [
"Alpha-particle scattering experiment",
"Rutherford's model of atom",
"Distance of closest approach"
] | Atoms | [] | null | null | null | false | null | null | null | null |
419 | 25 | standard | In the given network, calculate :
(i) effective resistance between points A and M, and
(ii) power supplied by the battery. | 3 | [
"Electric Current",
"Ohm's law",
"Combination of resistors",
"Electrical power"
] | Current Electricity | [
"img\\img_112.jpeg"
] | [
{
"part": "(i)",
"text": "effective resistance between points A and M"
},
{
"part": "(ii)",
"text": "power supplied by the battery."
}
] | null | null | false | null | null | null | null |
420 | 26 | standard | An infinite straight conductor is kept along X'X axis and carries a current I. A charge q at point P(0, r) starts moving with velocity $\vec{v} = v_0 \hat{j}$ as shown in figure. Find the direction and magnitude of force initially experienced by the charge. | 3 | [
"Magnetic force on a moving charge",
"Magnetic field due to a current-carrying wire"
] | Moving Charges and Magnetism | [
"img\\img_120.jpeg"
] | [
{
"part": "I",
"text": "A charge q at point P(0, r) starts moving with velocity $\\vec{v} = v_0 \\hat{j}$ as shown in figure. Find the direction and magnitude of force initially experienced by the charge."
}
] | null | null | false | null | null | null | null |
421 | 27 | standard | Explain the following giving reasons : | 3 | [
"Electromagnetic waves",
"Microwaves",
"Electromagnetic spectrum"
] | Electromagnetic Waves | [
"img\\img_114.jpeg"
] | [
{
"part": "(i)",
"text": "'Electromagnetic waves differ considerably in their mode of interaction with matter'."
},
{
"part": "(ii)",
"text": "'Food items to be heated in microwave oven must contain water'."
},
{
"part": "(iii)",
"text": "'Welders wear face mask with glasses during welding'."
}
] | null | null | false | null | null | null | null |
422 | 28 | standard | 3 | [
"Nuclear fission",
"Nuclear fusion",
"Mass-energy relation"
] | Nuclei | null | [
{
"part": "(a)",
"text": "Differentiate between nuclear fission and fusion."
},
{
"part": "(b)",
"text": "The fission properties of $_{94}Pu^{239}$ are very similar to those of $_{92}U^{235}$. How much energy (in MeV), is released if all the atoms in 1 g of pure $_{94}Pu^{239}$ undergo fission ? The average energy released per fission is 180 MeV."
}
] | null | null | false | null | null | null | null |
|
423 | 29 | case_study | null | 4 | [
"Extrinsic semiconductor",
"p-type semiconductor",
"n-type semiconductor",
"p-n junction",
"Semiconductor diode",
"Rectifier"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | null | null | null | null | null | null | A pure semiconductor like Ge or Si, when doped with a small amount of suitable impurity, becomes an extrinsic semiconductor. In thermal equilibrium, the electron and hole concentration in it are related to the concentration of intrinsic charge carriers. A p-type or n-type semiconductor can be converted into a p-n junction by doping it with suitable impurity. Two processes, diffusion and drift take place during formation of a p-n junction. A semiconductor diode is basically a p-n junction with metallic contacts provided at the ends for the application of an external voltage. A p-n junction diode allows currents to pass only in one direction when it is forward biased. Due to this property, a diode is widely used to rectify alternating voltages, in half-wave or full wave configuration. | [] |
424 | (i) | standard | When Ge is doped with pentavalent impurity, the energy required to free the weakly bound electron from the dopant is about | 1 | [
"Doping",
"Energy levels in semiconductors"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [
"img\\img.120.jpeg"
] | null | {
"A": "0.001 eV",
"B": "0.01 eV",
"C": "0.72 eV",
"D": "1.1 eV"
} | null | false | null | null | null | null |
425 | (ii) | standard | At a given temperature, the number of intrinsic charge carriers in a semiconductor is $2.0 \times 10^{10} \text{cm}^{-3}$. It is doped with pentavalent impurity atoms. As a result, the number of holes in it becomes $8 \times 10^{3} \text{cm}^{-3}$. The number of electrons in the semiconductor is | 1 | [
"Intrinsic and extrinsic semiconductors",
"Doping",
"Number density of charge carriers"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | null | {
"A": "$2 \\times 10^{24} \\text{m}^{-3}$",
"B": "$4 \\times 10^{23} \\text{m}^{-3}$",
"C": "$1 \\times 10^{22} \\text{m}^{-3}$",
"D": "$5 \\times 10^{22} \\text{m}^{-3}$"
} | null | false | null | null | null | null |
426 | (iii) | standard | During the formation of a p-n junction – | 1 | [
"p-n junction formation",
"Diffusion current",
"Drift current"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | [
{
"part": "a",
"text": "(A) electrons diffuse from p-region into n-region and holes diffuse from n-region into p-region.\n(B) both electrons and holes diffuse from n-region into p-region.\n(C) electrons diffuse from n-region into p-region and holes diffuse from p-region into n-region.\n(D) both electrons and holes diffuse from p-region into n-region."
}
] | {
"A": "electrons diffuse from p-region into n-region and holes diffuse from n-region into p-region.",
"B": "both electrons and holes diffuse from n-region into p-region.",
"C": "electrons diffuse from n-region into p-region and holes diffuse from p-region into n-region.",
"D": "both electrons and holes diffuse from p-region into n-region."
} | {
"figure_paths": [],
"marks": 1,
"options": {
"A": "diffusion current is large and drift current is small.",
"B": "diffusion current is small and drift current is large.",
"C": "both the diffusion and the drift currents are large.",
"D": "both the diffusion and the drift currents are small."
},
"or_question": null,
"question_number": null,
"question_text": "Initially during the formation of a p-n junction –",
"question_type": "standard",
"related_chapter": "Semiconductor Electronics: Materials, Devices and Simple Circuits",
"related_topics": [
"p-n junction formation",
"Diffusion current",
"Drift current"
],
"sub_parts": [
{
"part": "b",
"text": "(A) diffusion current is large and drift current is small.\n(B) diffusion current is small and drift current is large.\n(C) both the diffusion and the drift currents are large.\n(D) both the diffusion and the drift currents are small."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
427 | (iv) | standard | An ac voltage V = 0.5 sin (100 πt) volt is applied, in turn, across a half-wave rectifier and a full-wave rectifier. The frequency of the output voltage across them respectively will be | 1 | [
"Rectifiers",
"Half-wave rectifier",
"Full-wave rectifier",
"Frequency"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | null | {
"A": "25 Hz, 50 Hz",
"B": "25 Hz, 100 Hz",
"C": "50 Hz, 50 Hz",
"D": "50 Hz, 100 Hz"
} | null | false | null | null | null | null |
428 | 30. | standard | A lens is a transparent optical medium bounded by two surfaces; at least one of which should be spherical. Applying the formula of image formation by a single spherical surface successively at the two surfaces of a thin lens, a formula known as lens maker's formula and hence the basic lens formula can be obtained. The focal length (or power) of a lens depends on the radii of its surfaces and the refractive index of its material with respect to the surrounding medium. The refractive index of a material depends on the wavelength of light used. Combination of lenses helps us to obtain diverging or converging lenses of desired power and magnification. | 4 | [
"Lenses",
"Lens maker's formula",
"Thin lens formula",
"Refraction at spherical surfaces",
"Power of a lens",
"Combination of lenses"
] | Ray Optics and Optical Instruments | [] | null | null | null | false | null | null | null | null |
429 | (i) | standard | A thin converging lens of focal length 20 cm and a thin diverging lens of focal length 15 cm are placed coaxially in contact. The power of the combination is | 1 | [
"Combination of lenses",
"Power of a lens"
] | Ray Optics and Optical Instruments | [
"img\\img 120.jpeg"
] | null | {
"A": "${-\\frac{5}{6}}$ D",
"B": "${-\\frac{5}{3}}$ D",
"C": "${4\\over 3}$ D",
"D": "${3\\over 2}$ D"
} | null | null | null | null | null | null |
430 | (ii) | standard | The radii of curvature of two surfaces of a convex lens are R and 2R. If the focal length of this lens is ${\left(4 \over 3\right)}$R, the refractive index of the material of the lens is : | 1 | [
"Lens maker’s formula",
"Refraction at spherical surfaces"
] | Ray Optics and Optical Instruments | null | null | {
"A": "${5\\over 3}$",
"B": "${4\\over 3}$",
"C": "${3\\over 2}$",
"D": "${7\\over 5}$"
} | null | null | null | null | null | null |
431 | (iii) | standard | The focal length of an equiconvex lens | 1 | [
"Lens maker’s formula",
"Refraction of light"
] | Ray Optics and Optical Instruments | null | null | {
"A": "increases when the lens is dipped in water.",
"B": "increases when the wavelength of incident light decreases.",
"C": "increases with decrease in radius of curvature of its surface.",
"D": "decreases when the lens is cut into two identical parts along its principal axis."
} | null | null | null | null | null | null |
432 | (iv) | standard | A thin convex lens L of focal length 10 cm and a concave mirror M of focal length 15 cm are placed coaxially 40 cm apart as shown in figure. A beam of light coming parallel to the principal axis is incident on the lens. The final image will be formed at a distance of | 1 | [
"Lens-mirror combinations",
"Image formation by lenses",
"Image formation by mirrors"
] | Ray Optics and Optical Instruments | [
"img img 117.jpeg"
] | null | {
"A": "10 cm, left of lens",
"B": "10 cm, right of lens",
"C": "20 cm, left of lens",
"D": "20 cm, right of lens"
} | {
"figure_paths": [
"img img 117.jpeg"
],
"marks": 1,
"options": {
"A": "10 cm, left of lens",
"B": "10 cm, right of lens",
"C": "20 cm, left of lens",
"D": "20 cm, right of lens"
},
"or_question": null,
"question_number": null,
"question_text": "A thin convex lens L of focal length 10 cm and a concave mirror M of focal length 15 cm are placed coaxially 40 cm apart as shown in figure. A beam of light coming parallel to the principal axis is incident on the lens. The final image will be formed at a distance of",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Lens-mirror combinations",
"Image formation by lenses",
"Image formation by mirrors"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
433 | (iv)(b) | standard | A beam of light coming parallel to the principal axis of a convex lens L₁ of focal length 16 cm is incident on it. Another convex lens L₂ of focal length 12 cm is placed coaxially at a distance 40 cm from L₁. The nature and distance of the final image from L₂ will be | null | [
"Refraction of light",
"Lenses",
"Combination of lenses"
] | Ray Optics and Optical Instruments | [
"img\\img_120.jpeg"
] | null | {
"A": "real, 24 cm",
"B": "virtual, 12 cm",
"C": "real, 32 cm",
"D": "virtual, 18 cm"
} | null | false | null | null | null | null |
434 | 31 | standard | null | 5 | [
"Capacitors",
"Dielectrics",
"Combination of capacitors",
"Energy stored in a capacitor",
"Gauss's theorem",
"Electric field",
"Electric flux",
"Electric charge"
] | Electrostatic Potential and Capacitance | [
"img\\img_119.jpeg"
] | [
{
"part": "(a)",
"text": "(i) A dielectric slab of dielectric constant 'K' and thickness 't' is inserted between plates of a parallel plate capacitor of plate separation d and plate area A. Obtain an expression for its capacitance.\n(ii) Two capacitors of different capacitances are connected first (1) in series and then (2) in parallel across a dc source of 100 V. If the total energy stored in the combination in the two cases are 40 mJ and 250 mJ respectively, find the capacitance of the capacitors."
}
] | null | {
"figure_paths": [
"img\\img_119.jpeg"
],
"marks": 5,
"options": null,
"or_question": null,
"question_number": null,
"question_text": null,
"question_type": "standard",
"related_chapter": "Electric Charges and Fields",
"related_topics": [
"Gauss's theorem",
"Electric field",
"Electric flux",
"Electric charge"
],
"sub_parts": [
{
"part": "(i)",
"text": "Using Gauss's law, show that the electric field $\\vec{E}$ at a point due to a uniformly charged infinite plane sheet is given by $\\vec{E} = \\frac{\\sigma}{2\\epsilon_0} \\hat{n}$ where symbols have their usual meanings."
},
{
"part": "(ii)",
"text": "Electric field $\\vec{E}$ in a region is given by $\\vec{E} = (5x^2 + 2) \\hat{i}$ where E is in N/C and x is in meters.\nA cube of side 10 cm is placed in the region as shown in figure.\nCalculate (1) the electric flux through the cube, and (2) the net charge enclosed by the cube."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
435 | 1 | standard | A battery supplies 0.9 A current through a 2 Ω resistor and 0.3 A current through a 7 Ω resistor when connected one by one. The internal resistance of the battery is : | 1 | [
"Internal resistance",
"Ohm's law",
"Combination of cells"
] | Current Electricity | null | null | {
"A": "2 Ω",
"B": "1.2 Ω",
"C": "1 Ω",
"D": "0.5 Ω"
} | null | false | null | null | null | null |
436 | 2 | standard | A particle of mass m and charge q describes a circular path of radius R in a magnetic field. If its mass and charge were 2 m and \(\frac{q}{2}\) respectively, the radius of its path would be | 1 | [
"Motion in magnetic field",
"Force on a moving charge in magnetic field"
] | Moving Charges and Magnetism | null | null | {
"A": "\\(\\frac{R}{4}\\)",
"B": "\\(\\frac{R}{2}\\)",
"C": "2 R",
"D": "4 R"
} | null | false | null | null | null | null |
437 | 3 | standard | Which of the following pairs is that of paramagnetic materials ? | 1 | [
"Magnetic properties of materials",
"Paramagnetism"
] | Magnetism and Matter | null | null | {
"A": "Copper and Aluminium",
"B": "Sodium and Calcium",
"C": "Lead and Iron",
"D": "Nickel and Cobalt"
} | null | false | null | null | null | null |
438 | 4 | standard | A galvanometer of resistance 50 Ω is converted into a voltmeter of range (0 – 2V) using a resistor of 1.0 kΩ. If it is to be converted into a voltmeter of range (0 – 10 V), the resistance required will be | 1 | [
"Moving coil galvanometer",
"Conversion to voltmeter"
] | Moving Charges and Magnetism | null | null | {
"A": "4.8 kΩ",
"B": "5.0 kΩ",
"C": "5.2 kΩ",
"D": "5.4 kΩ"
} | null | false | null | null | null | null |
439 | 5 | standard | Two coils are placed near each other. When the current in one coil is changed at the rate of 5 A/s, an emf of 2 mV is induced in the other. The mutual inductance of the two coils is | 1 | [
"Mutual induction",
"Induced EMF"
] | Electromagnetic Induction | null | null | {
"A": "0.4 mH",
"B": "2.5 mH",
"C": "10 mH",
"D": "2.5 H"
} | null | false | null | null | null | null |
440 | 6 | standard | The electromagnetic waves used to purify water are | 1 | [
"Electromagnetic spectrum",
"Uses of electromagnetic waves"
] | Electromagnetic Waves | null | null | {
"A": "Infrared rays",
"B": "Ultraviolet rays",
"C": "X-rays",
"D": "Gamma rays"
} | null | false | null | null | null | null |
441 | 7 | standard | The focal lengths of the objective and the eyepiece of a compound microscope are 1 cm and 2 cm respectively. If the tube length of the microscope is 10 cm, the magnification obtained by the microscope for most suitable viewing by relaxed eye is : | 0 | [
"Microscopes",
"Magnification"
] | Ray Optics and Optical Instruments | [
"img\\img_134.jpeg"
] | null | {
"A": "250",
"B": "200",
"C": "150",
"D": "125"
} | null | false | null | null | null | null |
442 | 8 | standard | The variation of the stopping potential (Vo) with the frequency ($\nu$) of the incident radiation for four metals A, B, C and D is shown in the figure. For the same frequency of incident radiation producing photo-electrons in all metals, the kinetic energy of photo-electrons will be maximum for metal | 0 | [
"Photoelectric effect",
"Stopping potential",
"Kinetic energy"
] | Dual Nature of Radiation and Matter | [
"img\\img_124.png"
] | null | {
"A": "A",
"B": "B",
"C": "C",
"D": "D"
} | null | false | null | null | null | null |
443 | 9 | standard | The energy of an electron in the ground state of hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the first excited state will be | 0 | [
"Bohr model of hydrogen atom",
"Energy levels",
"Kinetic energy",
"Potential energy"
] | Atoms | null | null | {
"A": "-13.6 eV, 27.2 eV",
"B": "-6.8 eV, 13.6 eV",
"C": "3.4 eV, –6.8 eV",
"D": "6.8 eV, −3.4 eV"
} | null | false | null | null | null | null |
444 | 10 | standard | A Young's double-slit experimental set up is kept in a medium of refractive index $\left(\frac{4}{3}\right)$. Which maximum in this case will coincide with the $6^{th}$ maximum obtained if the medium is replaced by air ? | 0 | [
"Young's double slit experiment",
"Fringe width",
"Refractive index",
"Interference"
] | Wave Optics | null | null | {
"A": "4$^{th}$",
"B": "6$^{th}$",
"C": "8$^{th}$",
"D": "10$^{th}$"
} | null | false | null | null | null | null |
445 | 11 | standard | The potential energy between two nucleons inside a nucleus is minimum
at a distance of about | 1 | [
"Nuclear force",
"Potential energy"
] | Nuclei | [
"img\\img_134.jpeg"
] | null | {
"A": "0.8 fm",
"B": "1.6 fm",
"C": "2.0 fm",
"D": "2.8 fm"
} | null | null | null | null | null | null |
446 | 12 | standard | A pure Si crystal having $5 \times 10^{28}$ atoms m³ is dopped with 1 ppm
concentration of antimony. If the concentration of holes in the doped
crystal is found to be $4.5 \times 10^{9}$ m³, the concentration (in m³) of intrinsic
charge carriers in Si crystal is about | 1 | [
"Semiconductors",
"Doping",
"Intrinsic charge carriers"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | null | {
"A": "$1.2 \\times 10^{15}$",
"B": "$1.5 \\times 10^{16}$",
"C": "$3.0 \\times 10^{15}$",
"D": "$2.0 \\times 10^{16}$"
} | null | null | null | null | null | null |
447 | 13 | assertion_reason | null | 1 | [
"Electric field",
"Electric potential",
"Superposition principle"
] | Electric Charges and Fields | [
"img\\img_126.jpeg"
] | null | {
"A": "If both Assertion (A) and Reason (R) are true and Reason (R) is correct\nexplanation of Assertion (A).",
"B": "If both Assertion (A) and Reason (R) are true and Reason (R) is not the\ncorrect explanation of Assertion (A).",
"C": "If Assertion (A) is true but Reason (R) is false.",
"D": "If both Assertion (A) and Reason (R) are false."
} | null | null | Equal amount of positive and negative charges are
distributed uniformly on two halves of a thin circular
ring as shown in figure. The resultant electric field at
the centre O of the ring is along OC. | It is so because the net potential at O is not zero. | null | null |
448 | 14 | assertion_reason | null | 1 | [
"Magnetic Force",
"Work Done by a Force"
] | Moving Charges and Magnetism | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | The energy of a charged particle moving in a magnetic field does not change. | It is because the work done by the magnetic force on the charge moving in a magnetic field is zero. | null | null |
449 | 15 | assertion_reason | null | 1 | [
"Young's Double Slit Experiment",
"Interference",
"Fringe Width"
] | Wave Optics | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | In a Young's double-slit experiment, interference pattern is not observed when two coherent sources are infinitely close to each other. | The fringe width is proportional to the separation between the two sources. | null | null |
450 | 16 | assertion_reason | null | 1 | [
"Alpha Particle Scattering",
"Impact Parameter",
"Scattering Angle"
] | Atoms | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | An alpha particle is moving towards a gold nucleus. The impact parameter is maximum for the scattering angle of 180°. | The impact parameter in an alpha particle scattering experiment does not depend upon the atomic number of the target nucleus. | null | null |
451 | 17 | standard | Four point charges of 1 $\mu$C, −2 $\mu$C, 1 $\mu$C and −2 $\mu$C are placed at the corners A, B, C and D respectively, of a square of side 30 cm. Find the net force acting on a charge of 4 $\mu$C placed at the centre of the square. | 3 | [
"Coulomb's Law",
"Superposition Principle",
"Electric Force"
] | Electric Charges and Fields | null | null | null | {
"figure_paths": null,
"marks": 3,
"options": null,
"or_question": null,
"question_number": "17",
"question_text": "Three point charges, 1 pC each, are kept at the vertices of an equilateral triangle of side 10 cm. Find the net electric field at the centroid of triangle.",
"question_type": "standard",
"related_chapter": "Electric Charges and Fields",
"related_topics": [
"Electric Field",
"Electric Field due to Point Charges"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
452 | 18 | standard | Derive an expression for magnetic force $\vec{F}$ acting on a straight conductor of length L carrying current I in an external magnetic field $\vec{B}$. Is it valid when the conductor is in zig-zag form ? Justify. | 3 | [
"Magnetic Force on a Current-Carrying Conductor"
] | Moving Charges and Magnetism | null | null | null | null | false | null | null | null | null |
453 | 19 | standard | A telescope has an objective lens of focal length 150 cm and an eyepiece of focal length 5 cm. Calculate its magnifying power in normal adjustment and the distance of the image formed by the objective. | 3 | [
"Telescope",
"Magnifying Power",
"Image Formation"
] | Ray Optics and Optical Instruments | null | null | null | null | false | null | null | null | null |
454 | 25 | standard | An electron moving with a velocity $\vec{v} = (1.0 \times 10^7 \text{ m/s})\hat{i} + (0.5 \times 10^7 \text{ m/s})\hat{j}$ enters a region of uniform magnetic field $\vec{B} = (0.5 \text{ mT})\hat{j}$. Find the radius of the circular path described by it. While rotating; does the electron trace a linear path too ? If so, calculate the linear distance covered by it during the period of one revolution. | null | [
"Motion in a magnetic field",
"Magnetic force on a moving charge"
] | Moving Charges and Magnetism | [
"img\\img_134.jpeg"
] | null | null | null | false | null | null | null | null |
455 | 26 | standard | null | [
"Electromagnetic spectrum"
] | Electromagnetic Waves | null | [
{
"part": "(a)",
"text": "Name the parts of the electromagnetic spectrum which are (i) also known as 'heat waves' and (ii) absorbed by ozone layer in the atmosphere."
},
{
"part": "(b)",
"text": "Write briefly one method each, of the production and detection of these radiations."
}
] | null | null | false | null | null | null | null |
|
456 | 27 | standard | null | [
"p-n junction diode",
"Rectifier"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | [
{
"part": "(a)",
"text": "Explain the characteristics of a p-n junction diode that makes it suitable for its use as a rectifier."
},
{
"part": "(b)",
"text": "With the help of a circuit diagram, explain the working of a full wave rectifier."
}
] | null | null | false | null | null | null | null |
|
457 | 28 | standard | Explain the following, giving reasons : | null | [
"Doped semiconductor",
"p-n junction",
"Semiconductor diode"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | null | [
{
"part": "(a)",
"text": "A doped semiconductor is electrically neutral."
},
{
"part": "(b)",
"text": "In a p-n junction under equilibrium, there is no net current."
},
{
"part": "(c)",
"text": "In a diode, the reverse current is practically not dependent on the applied voltage."
}
] | null | null | false | null | null | null | null |
458 | 29 | case_study | null | null | [
"Dielectrics",
"Capacitors",
"Polar and non-polar molecules",
"Capacitance",
"Combination of capacitors"
] | Electrostatic Potential and Capacitance | null | null | null | null | null | null | null | Dielectrics play an important role in design of capacitors. The molecules of a dielectric may be polar or non-polar. When a dielectric slab is placed in an external electric field, opposite charges appear on the two surfaces of the slab perpendicular to electric field. Due to this an electric field is established inside the dielectric.
The capacitance of a capacitor is determined by the dielectric constant of the material that fills the space between the plates. Consequently, the energy storage capacity of a capacitor is also affected. Like resistors, capacitors can also be arranged in series and/or parallel. | [
{
"number": "(i)",
"options": {
"A": "O$_2$",
"B": "H$_2$",
"C": "N$_2$",
"D": "HCl"
},
"text": "Which of the following is a polar molecule ?"
}
] |
459 | (ii) | standard | Which of the following statements about dielectrics is correct ? | 1 | [
"Dielectrics",
"Electric Polarization"
] | Electrostatic Potential and Capacitance | [
"img img 134.jpeg"
] | null | {
"A": "A polar dielectric has a net dipole moment in absence of an external electric field which gets modified due to the induced dipoles.",
"B": "The net dipole moments of induced dipoles is along the direction of the applied electric field.",
"C": "Dielectrics contain free charges.",
"D": "The electric field produced due to induced surface charges inside a dielectric is along the external electric field."
} | null | false | null | null | null | null |
460 | (iii) | standard | When a dielectric slab is inserted between the plates of an isolated charged capacitor, the energy stored in it : | 1 | [
"Capacitors",
"Dielectrics",
"Energy stored in a capacitor"
] | Electrostatic Potential and Capacitance | [] | null | {
"A": "increases and the electric field inside it also increases.",
"B": "decreases and the electric field also decreases.",
"C": "decreases and the electric field increases.",
"D": "increases and the electric field decreases."
} | null | false | null | null | null | null |
461 | (iv) (a) | standard | An air-filled capacitor with plate area A and plate separation d has capacitance $C_0$. A slab of dielectric constant K, area A and thickness $\left(\frac{d}{5}\right)$ is inserted between the plates. The capacitance of the capacitor will become | 1 | [
"Capacitance",
"Dielectrics",
"Parallel plate capacitor"
] | Electrostatic Potential and Capacitance | [] | null | {
"A": "$\\left[\\frac{4K}{5K+1}\\right]C_0$",
"B": "$\\left[\\frac{K+5}{4}\\right]C_0$",
"C": "$\\left[\\frac{5K}{4K+1}\\right]C_0$",
"D": "$\\left[\\frac{K+4}{5K}\\right]C_0$"
} | {
"figure_paths": [],
"marks": 1,
"options": {
"A": "$\\frac{1}{4}$",
"B": "$\\frac{1}{6}$",
"C": "$\\frac{2}{15}$",
"D": "$\\frac{3}{16}$"
},
"or_question": null,
"question_number": "(iv) (b)",
"question_text": "Two capacitors of capacitances $2 C_0$ and $6 C_0$ are first connected in series and then in parallel across the same battery. The ratio of energies stored in series combination to that in parallel is",
"question_type": "standard",
"related_chapter": "Electrostatic Potential and Capacitance",
"related_topics": [
"Capacitors",
"Combination of capacitors",
"Energy stored in a capacitor"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
462 | 30 | standard | A prism is an optical medium path: img\img_134.jpeg bounded by three refracting plane surfaces.
A ray of light suffers successive refractions on passing through its two surfaces and deviates by a certain angle from its original path.
The refractive index of the material of the prism is given by
$\mu = \sin\left(\frac{A + \delta_m}{2}\right) / \sin\left(\frac{A}{2}\right)$. If the angle of incidence on the second surface is greater than an angle called critical angle, the ray will not be refracted from the second surface and is totally internally reflected. | 1 | [
"Refraction of light",
"Total internal reflection",
"Critical angle",
"Refractive index",
"Dispersion of light"
] | Ray Optics and Optical Instruments | [
"img\\img_134.jpeg"
] | [
{
"part": "(i)",
"text": "The critical angle for glass is $\\theta_1$ and that for water is $\\theta_2$. The critical angle for glass-water surface would be (given $_a\\mu_g = 1.5$, $_a\\mu_w = 1.33$)"
},
{
"part": "(ii)",
"text": "When a ray of light of wavelength $\\lambda$ and frequency $\\nu$ is refracted into a denser medium"
},
{
"part": "(iii) (a)",
"text": "The critical angle for a ray of light passing from glass to water is minimum for"
}
] | null | {
"figure_paths": null,
"marks": 1,
"options": {
"A": "$r_V < r_Y < r_R$",
"B": "$r_Y < r_R < r_V$",
"C": "$r_R < r_Y < r_V$",
"D": "$r_R = r_Y = r_V$"
},
"or_question": null,
"question_number": null,
"question_text": "Three beams of red, yellow and violet colours are passed through a prism, one by one under the same condition. When the prism is in the position of minimum deviation, the angles of refraction from the second surface are $r_R$, $r_Y$ and $r_V$ respectively.",
"question_type": "standard",
"related_chapter": "Ray Optics and Optical Instruments",
"related_topics": [
"Refraction of light",
"Dispersion of light",
"Minimum deviation"
],
"sub_parts": null,
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
463 | 30 (i) | standard | The critical angle for glass is $\theta_1$ and that for water is $\theta_2$. The critical angle for glass-water surface would be (given $_a\mu_g = 1.5$, $_a\mu_w = 1.33$) | 1 | [
"Critical angle",
"Refractive index",
"Total internal reflection"
] | Ray Optics and Optical Instruments | null | null | {
"A": "less than $\\theta_2$",
"B": "between $\\theta_1$ and $\\theta_2$",
"C": "greater than $\\theta_2$",
"D": "less than $\\theta_1$"
} | null | false | null | null | null | null |
464 | 30 (ii) | standard | When a ray of light of wavelength $\lambda$ and frequency $\nu$ is refracted into a denser medium | 1 | [
"Refraction of light",
"Wavelength",
"Frequency"
] | Ray Optics and Optical Instruments | null | null | {
"A": "$\\lambda$ and $\\nu$ both increase.",
"B": "$\\lambda$ increases but $\\nu$ is unchanged.",
"C": "$\\lambda$ decreases but $\\nu$ is unchanged.",
"D": "$\\lambda$ and $\\nu$ both decrease."
} | null | false | null | null | null | null |
465 | 30 (iii) (a) | standard | The critical angle for a ray of light passing from glass to water is minimum for | 1 | [
"Critical angle",
"Refractive index",
"Dispersion of light"
] | Ray Optics and Optical Instruments | null | null | {
"A": "red colour",
"B": "blue colour",
"C": "yellow colour",
"D": "violet colour"
} | null | false | null | null | null | null |
466 | (iv) | standard | A ray of light is incident normally on a prism ABC of refractive index $\sqrt{2}$, as shown in figure. After it strikes face AC, it will | 0 | [
"Refraction of light",
"Total internal reflection"
] | Ray Optics and Optical Instruments | [
"img\\img_134.jpeg",
"img\\img_933.png"
] | null | {
"A": "go straight undeviated",
"B": "just graze along the face AC",
"C": "refract and go out of the prism",
"D": "undergo total internal reflection"
} | null | false | null | null | null | null |
467 | 31. (a) | standard | null | 0 | [
"Equipotential surfaces",
"Electric dipole",
"Potential energy of a system of charges",
"Electric field",
"Torque on a dipole in uniform electric field"
] | Electrostatic Potential and Capacitance | null | [
{
"part": "(i)",
"text": "Draw equipotential surfaces for an electric dipole."
},
{
"part": "(ii)",
"text": "Two point charges $q_1$ and $q_2$ are located at $\\vec{r}_1$ and $\\vec{r}_2$ respectively in an external electric field $\\vec{E}$. Obtain an expression for the potential energy of the system."
},
{
"part": "(iii)",
"text": "The dipole moment of a molecule is $10^{-30}$ Cm. It is placed in an electric field $\\vec{E}$ of $10^5$ V/m such that its axis is along the electric field. The direction of $\\vec{E}$ is suddenly changed by $60^\\circ$ at an instant. Find the change in the potential energy of the dipole, at that instant."
}
] | null | {
"figure_paths": null,
"marks": 0,
"options": null,
"or_question": null,
"question_number": "31. (b)",
"question_text": null,
"question_type": "standard",
"related_chapter": "Electric Charges and Fields",
"related_topics": [
"Gauss's theorem",
"Electric field due to a charged spherical shell",
"Electric field due to a long straight wire",
"Superposition principle"
],
"sub_parts": [
{
"part": "(i)",
"text": "A thin spherical shell of radius R has a uniform surface charge density $\\sigma$. Using Gauss' law, deduce an expression for electric field (i) outside and (ii) inside the shell."
},
{
"part": "(ii)",
"text": "Two long straight thin wires AB and CD have linear charge densities $10 \\mu$C/m and $-20 \\mu$C/m, respectively. They are kept parallel to each other at a distance 1 m. Find magnitude and direction of the net electric field at a point midway between them."
}
],
"text": null,
"vi_candidate": false
} | false | null | null | null | null |
468 | 32. (a) | standard | You are given three circuit elements X, Y and Z. They are connected one by one across a given ac source. It is found that V and I are in phase for element X. V leads I by $\left(\frac{\pi}{4}\right)$ for element Y while I leads V by $\left(\frac{\pi}{4}\right)$ for element Z. Identify elements X, Y and Z. | 0 | [
"AC Circuits",
"Phase relationship between voltage and current"
] | Alternating Current | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
469 | 32. (a) | standard | Establish the expression for impedance of circuit when elements X, Y and Z are connected in series to an ac source. Show the variation of current in the circuit with the frequency of the applied ac source. | 0 | [
"Impedance of LCR circuit",
"Resonance in AC circuits"
] | Alternating Current | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
470 | 32. (a) | standard | In a series LCR circuit, obtain the conditions under which (i) impedance is minimum and (ii) wattless current flows in the circuit. | 0 | [
"Series LCR circuit",
"Resonance",
"Wattless current"
] | Alternating Current | [
"img\\img_134.jpeg"
] | [
{
"part": "(i)",
"text": "impedance is minimum"
},
{
"part": "(ii)",
"text": "wattless current flows in the circuit."
}
] | null | null | null | null | null | null | null |
471 | 32. (b) | standard | Describe the construction and working of a transformer and hence obtain the relation for $\left(\frac{V_s}{V_p}\right)$ in terms of number of turns of primary and secondary. | 0 | [
"Transformer",
"Principle of Transformer",
"Turns ratio"
] | Alternating Current | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
472 | 32. (b) | standard | Discuss four main causes of energy loss in a real transformer. | 0 | [
"Energy losses in transformer"
] | Alternating Current | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
473 | 32 | standard | null | 5 | [
"AC Circuits",
"Impedance",
"Resonance",
"Transformer"
] | Alternating Current | [
"img\\img_134.jpeg"
] | null | null | {
"figure_paths": [
"img\\img_134.jpeg"
],
"marks": 0,
"options": null,
"or_question": null,
"question_number": "32. (b)",
"question_text": "Describe the construction and working of a transformer and hence obtain the relation for $\\left(\\frac{V_s}{V_p}\\right)$ in terms of number of turns of primary and secondary.",
"question_type": "standard",
"related_chapter": "Alternating Current",
"related_topics": [
"Transformer",
"Principle of Transformer",
"Turns ratio"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
474 | 33. (a) | standard | A plane light wave propagating from a rarer into a denser medium, is incident at an angle i on the surface separating two media. Using Huygen's principle, draw the refracted wave and hence verify Snell's law of refraction. | 0 | [
"Huygen's Principle",
"Refraction of light",
"Snell's Law"
] | Wave Optics | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
475 | 33. (a) | standard | In a Young's double slit experiment, the slits are separated by 0.30 mm and the screen is kept 1.5 m away. The wavelength of light used is 600 nm. Calculate the distance between the central bright fringe and the $4^{th}$ dark fringe. | 0 | [
"Young's double slit experiment",
"Fringe width"
] | Wave Optics | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
476 | 33. (b) | standard | Discuss briefly diffraction of light from a single slit and draw the shape of the diffraction pattern. | 0 | [
"Diffraction of light",
"Single slit diffraction"
] | Wave Optics | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
477 | 33. (b) | standard | An object is placed between the pole and the focus of a concave mirror. Using mirror formula, prove mathematically that it produces a virtual and an enlarged image. | 0 | [
"Concave mirror",
"Mirror formula",
"Magnification"
] | Ray Optics and Optical Instruments | [
"img\\img_134.jpeg"
] | null | null | null | null | null | null | null | null |
478 | 33 | standard | null | 5 | [
"Huygen's Principle",
"Snell's Law",
"Young's double slit experiment",
"Diffraction",
"Concave mirror",
"Mirror formula"
] | Wave Optics | [
"img\\img_134.jpeg"
] | null | null | {
"figure_paths": [
"img\\img_134.jpeg"
],
"marks": 0,
"options": null,
"or_question": null,
"question_number": "33. (b)",
"question_text": "Discuss briefly diffraction of light from a single slit and draw the shape of the diffraction pattern.",
"question_type": "standard",
"related_chapter": "Wave Optics",
"related_topics": [
"Diffraction of light",
"Single slit diffraction"
],
"sub_parts": null,
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
479 | 1 | standard | An ammeter and a voltmeter are connected in series to a battery. Their readings are noted as 'A' and 'V' respectively. If a resistor is connected in parallel with the voltmeter, then | 1 | [
"Ammeters and Voltmeters",
"Ohm's Law",
"Series and Parallel Circuits"
] | Current Electricity | null | null | {
"A": "A will increase, V will decrease.",
"B": "A will decrease, V will increase.",
"C": "Both A and V will decrease.",
"D": "Both A and V will increase."
} | null | false | null | null | null | null |
480 | 2 | standard | An ac voltage is applied across an ideal inductor. The current in it | 1 | [
"AC Circuits",
"Inductors",
"Phase Relationships"
] | Alternating Current | null | null | {
"A": "leads the voltage by $\\frac{1}{4}$ cycle.",
"B": "lags the voltage by $\\frac{1}{4}$ cycle.",
"C": "leads the voltage by $\\frac{1}{2}$ cycle.",
"D": "lags the voltage by $\\frac{1}{2}$ cycle."
} | null | false | null | null | null | null |
481 | 3 | standard | An iron needle is kept near a strong bar magnet. It will experience | 1 | [
"Magnetic Field",
"Magnetic Force",
"Torque on a Magnetic Dipole"
] | Magnetism and Matter | null | null | {
"A": "a force of attraction and no torque.",
"B": "a force of attraction and a torque.",
"C": "a torque and no force.",
"D": "neither a force nor a torque."
} | null | false | null | null | null | null |
482 | 4 | standard | A galvanometer shows full scale deflection for a current $I_g$. If a shunt of resistance $S_1$ is connected to the galvanometer, it gets converted into an ammeter of range $(0 – I)$. When resistance of the shunt is made $S_2$, its range becomes $(0 -2I)$. Then $\left(\frac{S_1}{S_2}\right)$ is | 1 | [
"Moving Coil Galvanometer",
"Ammeter",
"Shunt Resistance"
] | Moving Charges and Magnetism | null | null | {
"A": "$\\frac{I+I_g}{I-I_g}$",
"B": "$\\frac{I-I_g}{I+I_g}$",
"C": "$\\frac{2I-I_g}{I-I_g}$",
"D": "$\\frac{I-I_g}{2I-I_g}$"
} | null | false | null | null | null | null |
483 | 5 | standard | A coil of area of cross-section 0.5 $m^2$ is placed in a magnetic field acting normally to its plane. The field varies as B = 0.5$t^2$ + 2t, where B is in tesla and t in seconds. The emf induced in the coil at t = 1s is | 0 | [
"Electromagnetic induction",
"Faraday's laws",
"Induced EMF"
] | Electromagnetic Induction | [
"img\\img_147.jpeg"
] | null | {
"A": "0.5 V",
"B": "1.0 V",
"C": "1.5 V",
"D": "3.0 V"
} | null | false | null | null | null | null |
484 | 6 | standard | A pure Si crystal having 5 × $10^{28}$ atoms $m^{-3}$ is dopped with 1 ppm concentration of antimony. If the concentration of holes in the doped crystal is found to be 4.5 × $10^9$ $m^{-3}$, the concentration (in $m^{-3}$) of intrinsic charge carriers in Si crystal is about | 0 | [
"Semiconductors",
"Intrinsic and extrinsic semiconductors"
] | Semiconductor Electronics: Materials, Devices and Simple Circuits | [] | null | {
"A": "1.2 × $10^{15}$",
"B": "1.5 × $10^{16}$",
"C": "3.0 × $10^{15}$",
"D": "2.0 × $10^{16}$"
} | null | false | null | null | null | null |
485 | 7 | standard | The potential energy between two nucleons inside a nucleus is minimum at a distance of about | 0 | [
"Nuclei",
"Nuclear force"
] | Nuclei | [] | null | {
"A": "0.8 fm",
"B": "1.6 fm",
"C": "2.0 fm",
"D": "2.8 fm"
} | null | false | null | null | null | null |
486 | 8 | standard | In a Young's double-slit experiment in air, the fringe width is found to be 0.44 mm. If the entire setup is immersed in water (n = $\frac{4}{3}$), the fringe width will be | 0 | [
"Wave optics",
"Interference",
"Young's double slit experiment"
] | Wave Optics | [] | null | {
"A": "0.88 mm",
"B": "0.59 mm",
"C": "0.33 mm",
"D": "0.44 mm"
} | null | false | null | null | null | null |
487 | 9 | standard | The variation of the stopping potential ($V_0$) with the frequency ($\nu$) of the incident radiation for four metals A, B, C and D is shown in the figure. For the same frequency of incident radiation producing photo-electrons in all metals, the kinetic energy of photo-electrons will be maximum for metal | 0 | [
"Dual nature of radiation and matter",
"Photoelectric effect",
"Stopping potential"
] | Dual Nature of Radiation and Matter | [
"img\\img_137.png"
] | null | {
"A": "A",
"B": "B",
"C": "C",
"D": "D"
} | null | false | null | null | null | null |
488 | 10 | standard | The energy of an electron in the ground state of hydrogen atom is -13.6 eV. The kinetic and potential energy of the electron in the first excited state will be | 1 | [
"Bohr model of hydrogen atom",
"Energy levels"
] | Atoms | [
"path: img\\img_147.jpeg"
] | null | {
"A": "-13.6 eV, 27.2 eV",
"B": "-6.8 eV, 13.6 eV",
"C": "3.4 eV, –6.8 eV",
"D": "6.8 eV, -3.4 eV"
} | null | false | null | null | null | null |
489 | 11 | standard | The electromagnetic waves used to purify water are | 1 | [
"Electromagnetic spectrum",
"Uses of electromagnetic waves"
] | Electromagnetic Waves | [] | null | {
"A": "Infrared rays",
"B": "Ultraviolet rays",
"C": "X-rays",
"D": "Gamma rays"
} | null | false | null | null | null | null |
490 | 12 | standard | The focal lengths of the objective and the eyepiece of a compound microscope are 1 cm and 2 cm respectively. If the tube length of the microscope is 10 cm, the magnification obtained by the microscope for most suitable viewing by relaxed eye is : | 1 | [
"Compound microscope",
"Magnification"
] | Ray Optics and Optical Instruments | [] | null | {
"A": "250",
"B": "200",
"C": "150",
"D": "125"
} | null | false | null | null | null | null |
491 | 13 | assertion_reason | null | 1 | [
"Alpha-particle scattering experiment",
"Impact parameter"
] | Atoms | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | An alpha particle is moving towards a gold nucleus. The impact parameter is maximum for the scattering angle of 180°. | The impact parameter in an alpha particle scattering experiment does not depend upon the atomic number of the target nucleus. | null | null |
492 | 14 | assertion_reason | null | 1 | [
"Young's double slit experiment",
"Interference",
"Fringe width"
] | Wave Optics | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | In a Young's double-slit experiment, interference pattern is not observed when two coherent sources are infinitely close to each other. | The fringe width is proportional to the separation between the two sources. | null | null |
493 | 15 | assertion_reason | null | null | [
"Electric Charges",
"Electric Field",
"Electric Potential"
] | Chapter–1: Electric Charges and Fields | [
"img\\img_147.jpeg",
"img\\img_140.jpeg"
] | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | Equal amount of positive and negative charges are distributed uniformly on two halves of a thin circular ring as shown in figure. The resultant electric field at the centre O of the ring is along OC. | It is so because the net potential at O is not zero. | null | null |
494 | 16 | assertion_reason | null | null | [
"Magnetic Force",
"Motion in Magnetic Field",
"Work Done by a Force"
] | Chapter–4: Moving Charges and Magnetism | null | null | {
"A": "Both Assertion and Reason are true and Reason is the correct explanation of Assertion",
"B": "Both Assertion and Reason are true but Reason is not the correct explanation of Assertion",
"C": "Assertion is true but Reason is false",
"D": "Both Assertion and Reason are false"
} | null | null | The energy of a charged particle moving in a magnetic field does not change. | It is because the work done by the magnetic force on the charge moving in a magnetic field is zero. | null | null |
495 | 17 | standard | Four point charges of 1 $\mu$C, −2 $\mu$C, 1 $\mu$C and -2 $\mu$C are placed at the corners A, B, C and D respectively, of a square of side 30 cm. Find the net force acting on a charge of 4 $\mu$C placed at the centre of the square. | null | [
"Coulomb's Law",
"Superposition Principle",
"Electric Force"
] | Chapter–1: Electric Charges and Fields | null | [
{
"part": "a",
"text": "Four point charges of 1 $\\mu$C, −2 $\\mu$C, 1 $\\mu$C and -2 $\\mu$C are placed at the corners A, B, C and D respectively, of a square of side 30 cm. Find the net force acting on a charge of 4 $\\mu$C placed at the centre of the square."
}
] | null | {
"figure_paths": null,
"marks": null,
"options": null,
"or_question": null,
"question_number": "17",
"question_text": "Three point charges, 1 pC each, are kept at the vertices of an equilateral triangle of side 10 cm. Find the net electric field at the centroid of triangle.",
"question_type": "standard",
"related_chapter": "Chapter–1: Electric Charges and Fields",
"related_topics": [
"Electric Field",
"Electric Field due to a Point Charge",
"Superposition Principle"
],
"sub_parts": [
{
"part": "b",
"text": "Three point charges, 1 pC each, are kept at the vertices of an equilateral triangle of side 10 cm. Find the net electric field at the centroid of triangle."
}
],
"text": null,
"vi_candidate": null
} | null | null | null | null | null |
496 | 18 | standard | Derive an expression for magnetic force $\vec{F}$ acting on a straight conductor of length L carrying current I in an external magnetic field $\vec{B}$. Is it valid when the conductor is in zig-zag form ? Justify. | null | [
"Force on a Current-Carrying Conductor",
"Magnetic Force"
] | Chapter–4: Moving Charges and Magnetism | null | null | null | null | null | null | null | null | null |
497 | 19 | standard | The radius of curvature of a convex mirror is 30 cm. It forms an image of an object which is half the size of the object. Find the separation between the object and the image. | 0 | [
"Reflection of light",
"Spherical mirrors",
"Mirror formula",
"Magnification"
] | Ray Optics and Optical Instruments | [
"img\\img_147.jpeg"
] | null | null | null | false | null | null | null | null |
498 | 20 | standard | Calculate the energy released/absorbed (in MeV) in the nuclear reaction :
$_{1}^{3}H$ + $_{1}^{1}H$ $\longrightarrow$ $_{1}^{2}H$ + $_{1}^{2}H$
Given : m($_{1}^{1}H$) = 1.007825 $\mu$
m($_{1}^{2}H$) = 2.014102 $\mu$
m($_{1}^{3}H$) = 3.016049 $\mu$ | 0 | [
"Mass-energy relation",
"Mass defect",
"Binding energy",
"Nuclear reactions"
] | Nuclei | null | null | null | null | false | null | null | null | null |
499 | 21 | standard | A proton of energy 1.6 MeV approaches a gold nucleus (Z = 79). Find the distance of its closest approach. | 0 | [
"Electrostatic potential energy",
"Kinetic energy",
"Distance of closest approach"
] | Electrostatic Potential and Capacitance | null | null | null | null | false | null | null | null | null |
500 | 22 | standard | A photosensitive surface of work function 2.1 eV is irradiated by radiation of wavelength 150 nm. Calculate (i) the threshold wavelength, (ii) energy (in eV) of an incident photon, and (iii) maximum kinetic energy of emitted photoelectron. | 0 | [
"Photoelectric effect",
"Work function",
"Threshold wavelength",
"Energy of a photon",
"Einstein's photoelectric equation"
] | Dual Nature of Radiation and Matter | null | [
{
"part": "(i)",
"text": "the threshold wavelength"
},
{
"part": "(ii)",
"text": "energy (in eV) of an incident photon"
},
{
"part": "(iii)",
"text": "maximum kinetic energy of emitted photoelectron."
}
] | null | null | false | null | null | null | null |
Subsets and Splits