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9
939-942
44 What is the range of the angles of the incident rays with the axis of the pipe for which total reflections inside the pipe take place, as shown in the figure FIGURE 9 28 Rationalised 2023-24 Ray Optics and Optical Instruments 251 (b) What is the answer if there is no outer covering of the pipe
9
940-943
What is the range of the angles of the incident rays with the axis of the pipe for which total reflections inside the pipe take place, as shown in the figure FIGURE 9 28 Rationalised 2023-24 Ray Optics and Optical Instruments 251 (b) What is the answer if there is no outer covering of the pipe 9
9
941-944
FIGURE 9 28 Rationalised 2023-24 Ray Optics and Optical Instruments 251 (b) What is the answer if there is no outer covering of the pipe 9 18 The image of a small electric bulb fixed on the wall of a room is to be obtained on the opposite wall 3m away by means of a large convex lens
9
942-945
28 Rationalised 2023-24 Ray Optics and Optical Instruments 251 (b) What is the answer if there is no outer covering of the pipe 9 18 The image of a small electric bulb fixed on the wall of a room is to be obtained on the opposite wall 3m away by means of a large convex lens What is the maximum possible focal length of the lens required for the purpose
9
943-946
9 18 The image of a small electric bulb fixed on the wall of a room is to be obtained on the opposite wall 3m away by means of a large convex lens What is the maximum possible focal length of the lens required for the purpose 9
9
944-947
18 The image of a small electric bulb fixed on the wall of a room is to be obtained on the opposite wall 3m away by means of a large convex lens What is the maximum possible focal length of the lens required for the purpose 9 19 A screen is placed 90cm from an object
9
945-948
What is the maximum possible focal length of the lens required for the purpose 9 19 A screen is placed 90cm from an object The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm
9
946-949
9 19 A screen is placed 90cm from an object The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm Determine the focal length of the lens
9
947-950
19 A screen is placed 90cm from an object The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm Determine the focal length of the lens 9
9
948-951
The image of the object on the screen is formed by a convex lens at two different locations separated by 20cm Determine the focal length of the lens 9 20 (a) Determine the ‘effective focal length’ of the combination of the two lenses in Exercise 9
9
949-952
Determine the focal length of the lens 9 20 (a) Determine the ‘effective focal length’ of the combination of the two lenses in Exercise 9 10, if they are placed 8
9
950-953
9 20 (a) Determine the ‘effective focal length’ of the combination of the two lenses in Exercise 9 10, if they are placed 8 0cm apart with their principal axes coincident
9
951-954
20 (a) Determine the ‘effective focal length’ of the combination of the two lenses in Exercise 9 10, if they are placed 8 0cm apart with their principal axes coincident Does the answer depend on which side of the combination a beam of parallel light is incident
9
952-955
10, if they are placed 8 0cm apart with their principal axes coincident Does the answer depend on which side of the combination a beam of parallel light is incident Is the notion of effective focal length of this system useful at all
9
953-956
0cm apart with their principal axes coincident Does the answer depend on which side of the combination a beam of parallel light is incident Is the notion of effective focal length of this system useful at all (b) An object 1
9
954-957
Does the answer depend on which side of the combination a beam of parallel light is incident Is the notion of effective focal length of this system useful at all (b) An object 1 5 cm in size is placed on the side of the convex lens in the arrangement (a) above
9
955-958
Is the notion of effective focal length of this system useful at all (b) An object 1 5 cm in size is placed on the side of the convex lens in the arrangement (a) above The distance between the object and the convex lens is 40 cm
9
956-959
(b) An object 1 5 cm in size is placed on the side of the convex lens in the arrangement (a) above The distance between the object and the convex lens is 40 cm Determine the magnification produced by the two-lens system, and the size of the image
9
957-960
5 cm in size is placed on the side of the convex lens in the arrangement (a) above The distance between the object and the convex lens is 40 cm Determine the magnification produced by the two-lens system, and the size of the image 9
9
958-961
The distance between the object and the convex lens is 40 cm Determine the magnification produced by the two-lens system, and the size of the image 9 21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face
9
959-962
Determine the magnification produced by the two-lens system, and the size of the image 9 21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face The refractive index of the material of the prism is 1
9
960-963
9 21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face The refractive index of the material of the prism is 1 524
9
961-964
21 At what angle should a ray of light be incident on the face of a prism of refracting angle 60° so that it just suffers total internal reflection at the other face The refractive index of the material of the prism is 1 524 9
9
962-965
The refractive index of the material of the prism is 1 524 9 22 A card sheet divided into squares each of size 1 mm2 is being viewed at a distance of 9 cm through a magnifying glass (a converging lens of focal length 9 cm) held close to the eye
9
963-966
524 9 22 A card sheet divided into squares each of size 1 mm2 is being viewed at a distance of 9 cm through a magnifying glass (a converging lens of focal length 9 cm) held close to the eye (a) What is the magnification produced by the lens
9
964-967
9 22 A card sheet divided into squares each of size 1 mm2 is being viewed at a distance of 9 cm through a magnifying glass (a converging lens of focal length 9 cm) held close to the eye (a) What is the magnification produced by the lens How much is the area of each square in the virtual image
9
965-968
22 A card sheet divided into squares each of size 1 mm2 is being viewed at a distance of 9 cm through a magnifying glass (a converging lens of focal length 9 cm) held close to the eye (a) What is the magnification produced by the lens How much is the area of each square in the virtual image (b) What is the angular magnification (magnifying power) of the lens
9
966-969
(a) What is the magnification produced by the lens How much is the area of each square in the virtual image (b) What is the angular magnification (magnifying power) of the lens (c) Is the magnification in (a) equal to the magnifying power in (b)
9
967-970
How much is the area of each square in the virtual image (b) What is the angular magnification (magnifying power) of the lens (c) Is the magnification in (a) equal to the magnifying power in (b) Explain
9
968-971
(b) What is the angular magnification (magnifying power) of the lens (c) Is the magnification in (a) equal to the magnifying power in (b) Explain 9
9
969-972
(c) Is the magnification in (a) equal to the magnifying power in (b) Explain 9 23 (a) At what distance should the lens be held from the card sheet in Exercise 9
9
970-973
Explain 9 23 (a) At what distance should the lens be held from the card sheet in Exercise 9 22 in order to view the squares distinctly with the maximum possible magnifying power
9
971-974
9 23 (a) At what distance should the lens be held from the card sheet in Exercise 9 22 in order to view the squares distinctly with the maximum possible magnifying power (b) What is the magnification in this case
9
972-975
23 (a) At what distance should the lens be held from the card sheet in Exercise 9 22 in order to view the squares distinctly with the maximum possible magnifying power (b) What is the magnification in this case (c) Is the magnification equal to the magnifying power in this case
9
973-976
22 in order to view the squares distinctly with the maximum possible magnifying power (b) What is the magnification in this case (c) Is the magnification equal to the magnifying power in this case Explain
9
974-977
(b) What is the magnification in this case (c) Is the magnification equal to the magnifying power in this case Explain 9
9
975-978
(c) Is the magnification equal to the magnifying power in this case Explain 9 24 What should be the distance between the object in Exercise 9
9
976-979
Explain 9 24 What should be the distance between the object in Exercise 9 23 and the magnifying glass if the virtual image of each square in the figure is to have an area of 6
9
977-980
9 24 What should be the distance between the object in Exercise 9 23 and the magnifying glass if the virtual image of each square in the figure is to have an area of 6 25 mm2
9
978-981
24 What should be the distance between the object in Exercise 9 23 and the magnifying glass if the virtual image of each square in the figure is to have an area of 6 25 mm2 Would you be able to see the squares distinctly with your eyes very close to the magnifier
9
979-982
23 and the magnifying glass if the virtual image of each square in the figure is to have an area of 6 25 mm2 Would you be able to see the squares distinctly with your eyes very close to the magnifier [Note: Exercises 9
9
980-983
25 mm2 Would you be able to see the squares distinctly with your eyes very close to the magnifier [Note: Exercises 9 22 to 9
9
981-984
Would you be able to see the squares distinctly with your eyes very close to the magnifier [Note: Exercises 9 22 to 9 24 will help you clearly understand the difference between magnification in absolute size and the angular magnification (or magnifying power) of an instrument
9
982-985
[Note: Exercises 9 22 to 9 24 will help you clearly understand the difference between magnification in absolute size and the angular magnification (or magnifying power) of an instrument ] Rationalised 2023-24 Physics 252 9
9
983-986
22 to 9 24 will help you clearly understand the difference between magnification in absolute size and the angular magnification (or magnifying power) of an instrument ] Rationalised 2023-24 Physics 252 9 25 Answer the following questions: (a) The angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass
9
984-987
24 will help you clearly understand the difference between magnification in absolute size and the angular magnification (or magnifying power) of an instrument ] Rationalised 2023-24 Physics 252 9 25 Answer the following questions: (a) The angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass In what sense then does a magnifying glass provide angular magnification
9
985-988
] Rationalised 2023-24 Physics 252 9 25 Answer the following questions: (a) The angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass In what sense then does a magnifying glass provide angular magnification (b) In viewing through a magnifying glass, one usually positions one’s eyes very close to the lens
9
986-989
25 Answer the following questions: (a) The angle subtended at the eye by an object is equal to the angle subtended at the eye by the virtual image produced by a magnifying glass In what sense then does a magnifying glass provide angular magnification (b) In viewing through a magnifying glass, one usually positions one’s eyes very close to the lens Does angular magnification change if the eye is moved back
9
987-990
In what sense then does a magnifying glass provide angular magnification (b) In viewing through a magnifying glass, one usually positions one’s eyes very close to the lens Does angular magnification change if the eye is moved back (c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens
9
988-991
(b) In viewing through a magnifying glass, one usually positions one’s eyes very close to the lens Does angular magnification change if the eye is moved back (c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens What then stops us from using a convex lens of smaller and smaller focal length and achieving greater and greater magnifying power
9
989-992
Does angular magnification change if the eye is moved back (c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens What then stops us from using a convex lens of smaller and smaller focal length and achieving greater and greater magnifying power (d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths
9
990-993
(c) Magnifying power of a simple microscope is inversely proportional to the focal length of the lens What then stops us from using a convex lens of smaller and smaller focal length and achieving greater and greater magnifying power (d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths (e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing
9
991-994
What then stops us from using a convex lens of smaller and smaller focal length and achieving greater and greater magnifying power (d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths (e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing Why
9
992-995
(d) Why must both the objective and the eyepiece of a compound microscope have short focal lengths (e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing Why How much should be that short distance between the eye and eyepiece
9
993-996
(e) When viewing through a compound microscope, our eyes should be positioned not on the eyepiece but a short distance away from it for best viewing Why How much should be that short distance between the eye and eyepiece 9
9
994-997
Why How much should be that short distance between the eye and eyepiece 9 26 An angular magnification (magnifying power) of 30X is desired using an objective of focal length 1
9
995-998
How much should be that short distance between the eye and eyepiece 9 26 An angular magnification (magnifying power) of 30X is desired using an objective of focal length 1 25cm and an eyepiece of focal length 5cm
9
996-999
9 26 An angular magnification (magnifying power) of 30X is desired using an objective of focal length 1 25cm and an eyepiece of focal length 5cm How will you set up the compound microscope
9
997-1000
26 An angular magnification (magnifying power) of 30X is desired using an objective of focal length 1 25cm and an eyepiece of focal length 5cm How will you set up the compound microscope 9
9
998-1001
25cm and an eyepiece of focal length 5cm How will you set up the compound microscope 9 27 A small telescope has an objective lens of focal length 140cm and an eyepiece of focal length 5
9
999-1002
How will you set up the compound microscope 9 27 A small telescope has an objective lens of focal length 140cm and an eyepiece of focal length 5 0cm
9
1000-1003
9 27 A small telescope has an objective lens of focal length 140cm and an eyepiece of focal length 5 0cm What is the magnifying power of the telescope for viewing distant objects when (a) the telescope is in normal adjustment (i
9
1001-1004
27 A small telescope has an objective lens of focal length 140cm and an eyepiece of focal length 5 0cm What is the magnifying power of the telescope for viewing distant objects when (a) the telescope is in normal adjustment (i e
9
1002-1005
0cm What is the magnifying power of the telescope for viewing distant objects when (a) the telescope is in normal adjustment (i e , when the final image is at infinity)
9
1003-1006
What is the magnifying power of the telescope for viewing distant objects when (a) the telescope is in normal adjustment (i e , when the final image is at infinity) (b) the final image is formed at the least distance of distinct vision (25cm)
9
1004-1007
e , when the final image is at infinity) (b) the final image is formed at the least distance of distinct vision (25cm) 9
9
1005-1008
, when the final image is at infinity) (b) the final image is formed at the least distance of distinct vision (25cm) 9 28 (a) For the telescope described in Exercise 9
9
1006-1009
(b) the final image is formed at the least distance of distinct vision (25cm) 9 28 (a) For the telescope described in Exercise 9 27 (a), what is the separation between the objective lens and the eyepiece
9
1007-1010
9 28 (a) For the telescope described in Exercise 9 27 (a), what is the separation between the objective lens and the eyepiece (b) If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens
9
1008-1011
28 (a) For the telescope described in Exercise 9 27 (a), what is the separation between the objective lens and the eyepiece (b) If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens (c) What is the height of the final image of the tower if it is formed at 25cm
9
1009-1012
27 (a), what is the separation between the objective lens and the eyepiece (b) If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens (c) What is the height of the final image of the tower if it is formed at 25cm 9
9
1010-1013
(b) If this telescope is used to view a 100 m tall tower 3 km away, what is the height of the image of the tower formed by the objective lens (c) What is the height of the final image of the tower if it is formed at 25cm 9 29 A Cassegrain telescope uses two mirrors as shown in Fig
9
1011-1014
(c) What is the height of the final image of the tower if it is formed at 25cm 9 29 A Cassegrain telescope uses two mirrors as shown in Fig 9
9
1012-1015
9 29 A Cassegrain telescope uses two mirrors as shown in Fig 9 26
9
1013-1016
29 A Cassegrain telescope uses two mirrors as shown in Fig 9 26 Such a telescope is built with the mirrors 20mm apart
9
1014-1017
9 26 Such a telescope is built with the mirrors 20mm apart If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity be
9
1015-1018
26 Such a telescope is built with the mirrors 20mm apart If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity be 9
9
1016-1019
Such a telescope is built with the mirrors 20mm apart If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity be 9 30 Light incident normally on a plane mirror attached to a galvanometer coil retraces backwards as shown in Fig
9
1017-1020
If the radius of curvature of the large mirror is 220mm and the small mirror is 140mm, where will the final image of an object at infinity be 9 30 Light incident normally on a plane mirror attached to a galvanometer coil retraces backwards as shown in Fig 9
9
1018-1021
9 30 Light incident normally on a plane mirror attached to a galvanometer coil retraces backwards as shown in Fig 9 29
9
1019-1022
30 Light incident normally on a plane mirror attached to a galvanometer coil retraces backwards as shown in Fig 9 29 A current in the coil produces a deflection of 3
9
1020-1023
9 29 A current in the coil produces a deflection of 3 5o of the mirror
9
1021-1024
29 A current in the coil produces a deflection of 3 5o of the mirror What is the displacement of the reflected spot of light on a screen placed 1
9
1022-1025
A current in the coil produces a deflection of 3 5o of the mirror What is the displacement of the reflected spot of light on a screen placed 1 5 m away
9
1023-1026
5o of the mirror What is the displacement of the reflected spot of light on a screen placed 1 5 m away Rationalised 2023-24 Ray Optics and Optical Instruments 253 FIGURE 9
9
1024-1027
What is the displacement of the reflected spot of light on a screen placed 1 5 m away Rationalised 2023-24 Ray Optics and Optical Instruments 253 FIGURE 9 29 9
9
1025-1028
5 m away Rationalised 2023-24 Ray Optics and Optical Instruments 253 FIGURE 9 29 9 31 Figure 9
9
1026-1029
Rationalised 2023-24 Ray Optics and Optical Instruments 253 FIGURE 9 29 9 31 Figure 9 30 shows an equiconvex lens (of refractive index 1
9
1027-1030
29 9 31 Figure 9 30 shows an equiconvex lens (of refractive index 1 50) in contact with a liquid layer on top of a plane mirror
9
1028-1031
31 Figure 9 30 shows an equiconvex lens (of refractive index 1 50) in contact with a liquid layer on top of a plane mirror A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle
9
1029-1032
30 shows an equiconvex lens (of refractive index 1 50) in contact with a liquid layer on top of a plane mirror A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle The distance of the needle from the lens is measured to be 45
9
1030-1033
50) in contact with a liquid layer on top of a plane mirror A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle The distance of the needle from the lens is measured to be 45 0cm
9
1031-1034
A small needle with its tip on the principal axis is moved along the axis until its inverted image is found at the position of the needle The distance of the needle from the lens is measured to be 45 0cm The liquid is removed and the experiment is repeated
9
1032-1035
The distance of the needle from the lens is measured to be 45 0cm The liquid is removed and the experiment is repeated The new distance is measured to be 30
9
1033-1036
0cm The liquid is removed and the experiment is repeated The new distance is measured to be 30 0cm
9
1034-1037
The liquid is removed and the experiment is repeated The new distance is measured to be 30 0cm What is the refractive index of the liquid
9
1035-1038
The new distance is measured to be 30 0cm What is the refractive index of the liquid FIGURE 9
9
1036-1039
0cm What is the refractive index of the liquid FIGURE 9 30 Rationalised 2023-24 Physics 254 Notes Rationalised 2023-24 255 Wave Optics Chapter Ten WAVE OPTICS 10
9
1037-1040
What is the refractive index of the liquid FIGURE 9 30 Rationalised 2023-24 Physics 254 Notes Rationalised 2023-24 255 Wave Optics Chapter Ten WAVE OPTICS 10 1 INTRODUCTION In 1637 Descartes gave the corpuscular model of light and derived Snell’s law
9
1038-1041
FIGURE 9 30 Rationalised 2023-24 Physics 254 Notes Rationalised 2023-24 255 Wave Optics Chapter Ten WAVE OPTICS 10 1 INTRODUCTION In 1637 Descartes gave the corpuscular model of light and derived Snell’s law It explained the laws of reflection and refraction of light at an interface