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9
3939-3942
5 cm | | ue  (25/6) cm = 4 17 cm The separation between the objective and the eye-piece should be (7
9
3940-3943
| | ue  (25/6) cm = 4 17 cm The separation between the objective and the eye-piece should be (7 5 + 4
9
3941-3944
17 cm The separation between the objective and the eye-piece should be (7 5 + 4 17) cm = 11
9
3942-3945
The separation between the objective and the eye-piece should be (7 5 + 4 17) cm = 11 67 cm
9
3943-3946
5 + 4 17) cm = 11 67 cm Further the object should be placed 1
9
3944-3947
17) cm = 11 67 cm Further the object should be placed 1 5 cm from the objective to obtain the desired magnification
9
3945-3948
67 cm Further the object should be placed 1 5 cm from the objective to obtain the desired magnification 9
9
3946-3949
Further the object should be placed 1 5 cm from the objective to obtain the desired magnification 9 27 (a) m = ( fO/fe) = 28 (b) m = f f f e O O 1 +25   = 33
9
3947-3950
5 cm from the objective to obtain the desired magnification 9 27 (a) m = ( fO/fe) = 28 (b) m = f f f e O O 1 +25   = 33 6 Rationalised 2023-24 350 Physics 9
9
3948-3951
9 27 (a) m = ( fO/fe) = 28 (b) m = f f f e O O 1 +25   = 33 6 Rationalised 2023-24 350 Physics 9 28 (a) fO + fe = 145 cm (b) Angle subtended by the tower = (100/3000) = (1/30) rad
9
3949-3952
27 (a) m = ( fO/fe) = 28 (b) m = f f f e O O 1 +25   = 33 6 Rationalised 2023-24 350 Physics 9 28 (a) fO + fe = 145 cm (b) Angle subtended by the tower = (100/3000) = (1/30) rad Angle subtended by the image produced by the objective = O 140 h h f = Equating the two, h = 4
9
3950-3953
6 Rationalised 2023-24 350 Physics 9 28 (a) fO + fe = 145 cm (b) Angle subtended by the tower = (100/3000) = (1/30) rad Angle subtended by the image produced by the objective = O 140 h h f = Equating the two, h = 4 7 cm
9
3951-3954
28 (a) fO + fe = 145 cm (b) Angle subtended by the tower = (100/3000) = (1/30) rad Angle subtended by the image produced by the objective = O 140 h h f = Equating the two, h = 4 7 cm (c) Magnification (magnitude) of the eye-piece = 6
9
3952-3955
Angle subtended by the image produced by the objective = O 140 h h f = Equating the two, h = 4 7 cm (c) Magnification (magnitude) of the eye-piece = 6 Height of the final image (magnitude) = 28 cm
9
3953-3956
7 cm (c) Magnification (magnitude) of the eye-piece = 6 Height of the final image (magnitude) = 28 cm 9
9
3954-3957
(c) Magnification (magnitude) of the eye-piece = 6 Height of the final image (magnitude) = 28 cm 9 29 The image formed by the larger (concave) mirror acts as virtual object for the smaller (convex) mirror
9
3955-3958
Height of the final image (magnitude) = 28 cm 9 29 The image formed by the larger (concave) mirror acts as virtual object for the smaller (convex) mirror Parallel rays coming from the object at infinity will focus at a distance of 110 mm from the larger mirror
9
3956-3959
9 29 The image formed by the larger (concave) mirror acts as virtual object for the smaller (convex) mirror Parallel rays coming from the object at infinity will focus at a distance of 110 mm from the larger mirror The distance of virtual object for the smaller mirror = (110 –20) = 90 mm
9
3957-3960
29 The image formed by the larger (concave) mirror acts as virtual object for the smaller (convex) mirror Parallel rays coming from the object at infinity will focus at a distance of 110 mm from the larger mirror The distance of virtual object for the smaller mirror = (110 –20) = 90 mm The focal length of smaller mirror is 70 mm
9
3958-3961
Parallel rays coming from the object at infinity will focus at a distance of 110 mm from the larger mirror The distance of virtual object for the smaller mirror = (110 –20) = 90 mm The focal length of smaller mirror is 70 mm Using the mirror formula, image is formed at 315 mm from the smaller mirror
9
3959-3962
The distance of virtual object for the smaller mirror = (110 –20) = 90 mm The focal length of smaller mirror is 70 mm Using the mirror formula, image is formed at 315 mm from the smaller mirror 9
9
3960-3963
The focal length of smaller mirror is 70 mm Using the mirror formula, image is formed at 315 mm from the smaller mirror 9 30 The reflected rays get deflected by twice the angle of rotation of the mirror
9
3961-3964
Using the mirror formula, image is formed at 315 mm from the smaller mirror 9 30 The reflected rays get deflected by twice the angle of rotation of the mirror Therefore, d/1
9
3962-3965
9 30 The reflected rays get deflected by twice the angle of rotation of the mirror Therefore, d/1 5 = tan 7°
9
3963-3966
30 The reflected rays get deflected by twice the angle of rotation of the mirror Therefore, d/1 5 = tan 7° Hence d = 18
9
3964-3967
Therefore, d/1 5 = tan 7° Hence d = 18 4 cm
9
3965-3968
5 = tan 7° Hence d = 18 4 cm 9
9
3966-3969
Hence d = 18 4 cm 9 31 n = 1
9
3967-3970
4 cm 9 31 n = 1 33 CHAPTER 10 10
9
3968-3971
9 31 n = 1 33 CHAPTER 10 10 1 (a) Reflected light: (wavelength, frequency, speed same as incident light) l = 589 nm, n = 5
9
3969-3972
31 n = 1 33 CHAPTER 10 10 1 (a) Reflected light: (wavelength, frequency, speed same as incident light) l = 589 nm, n = 5 09 ´ 1014 Hz, c = 3
9
3970-3973
33 CHAPTER 10 10 1 (a) Reflected light: (wavelength, frequency, speed same as incident light) l = 589 nm, n = 5 09 ´ 1014 Hz, c = 3 00 ´ 108 m s–1 (b) Refracted light: (frequency same as the incident frequency) n = 5
9
3971-3974
1 (a) Reflected light: (wavelength, frequency, speed same as incident light) l = 589 nm, n = 5 09 ´ 1014 Hz, c = 3 00 ´ 108 m s–1 (b) Refracted light: (frequency same as the incident frequency) n = 5 09 ´ 1014Hz v = (c/n) = 2
9
3972-3975
09 ´ 1014 Hz, c = 3 00 ´ 108 m s–1 (b) Refracted light: (frequency same as the incident frequency) n = 5 09 ´ 1014Hz v = (c/n) = 2 26 × 108 m s–1, l = (v/n) = 444 nm 10
9
3973-3976
00 ´ 108 m s–1 (b) Refracted light: (frequency same as the incident frequency) n = 5 09 ´ 1014Hz v = (c/n) = 2 26 × 108 m s–1, l = (v/n) = 444 nm 10 2 (a) Spherical (b) Plane (c) Plane (a small area on the surface of a large sphere is nearly planar)
9
3974-3977
09 ´ 1014Hz v = (c/n) = 2 26 × 108 m s–1, l = (v/n) = 444 nm 10 2 (a) Spherical (b) Plane (c) Plane (a small area on the surface of a large sphere is nearly planar) 10
9
3975-3978
26 × 108 m s–1, l = (v/n) = 444 nm 10 2 (a) Spherical (b) Plane (c) Plane (a small area on the surface of a large sphere is nearly planar) 10 3 (a) 2
9
3976-3979
2 (a) Spherical (b) Plane (c) Plane (a small area on the surface of a large sphere is nearly planar) 10 3 (a) 2 0 × 108 m s–1 (b) No
9
3977-3980
10 3 (a) 2 0 × 108 m s–1 (b) No The refractive index, and hence the speed of light in a medium, depends on wavelength
9
3978-3981
3 (a) 2 0 × 108 m s–1 (b) No The refractive index, and hence the speed of light in a medium, depends on wavelength [When no particular wavelength or colour of light is specified, we may take the given refractive index to refer to yellow colour
9
3979-3982
0 × 108 m s–1 (b) No The refractive index, and hence the speed of light in a medium, depends on wavelength [When no particular wavelength or colour of light is specified, we may take the given refractive index to refer to yellow colour ] Now we know violet colour deviates more than red in a glass prism, i
9
3980-3983
The refractive index, and hence the speed of light in a medium, depends on wavelength [When no particular wavelength or colour of light is specified, we may take the given refractive index to refer to yellow colour ] Now we know violet colour deviates more than red in a glass prism, i e
9
3981-3984
[When no particular wavelength or colour of light is specified, we may take the given refractive index to refer to yellow colour ] Now we know violet colour deviates more than red in a glass prism, i e nv > nr
9
3982-3985
] Now we know violet colour deviates more than red in a glass prism, i e nv > nr Therefore, the violet component of white light travels slower than the red component
9
3983-3986
e nv > nr Therefore, the violet component of white light travels slower than the red component 10
9
3984-3987
nv > nr Therefore, the violet component of white light travels slower than the red component 10 4       1 2 10 0 28 10 4 14
9
3985-3988
Therefore, the violet component of white light travels slower than the red component 10 4       1 2 10 0 28 10 4 14 – 2 – 3 m = 600 nm 10
9
3986-3989
10 4       1 2 10 0 28 10 4 14 – 2 – 3 m = 600 nm 10 5 K/4 10
9
3987-3990
4       1 2 10 0 28 10 4 14 – 2 – 3 m = 600 nm 10 5 K/4 10 6 (a) 1
9
3988-3991
– 2 – 3 m = 600 nm 10 5 K/4 10 6 (a) 1 17 mm (b) 1
9
3989-3992
5 K/4 10 6 (a) 1 17 mm (b) 1 56 mm 10
9
3990-3993
6 (a) 1 17 mm (b) 1 56 mm 10 7 0
9
3991-3994
17 mm (b) 1 56 mm 10 7 0 15° 10
9
3992-3995
56 mm 10 7 0 15° 10 8 tan–1(1
9
3993-3996
7 0 15° 10 8 tan–1(1 5) ~ 56
9
3994-3997
15° 10 8 tan–1(1 5) ~ 56 3o Rationalised 2023-24 351 Answers 10
9
3995-3998
8 tan–1(1 5) ~ 56 3o Rationalised 2023-24 351 Answers 10 9 5000 Å, 6 × 1014 Hz; 45° 10
9
3996-3999
5) ~ 56 3o Rationalised 2023-24 351 Answers 10 9 5000 Å, 6 × 1014 Hz; 45° 10 10 40 m CHAPTER 11 11
9
3997-4000
3o Rationalised 2023-24 351 Answers 10 9 5000 Å, 6 × 1014 Hz; 45° 10 10 40 m CHAPTER 11 11 1 (a) 7
9
3998-4001
9 5000 Å, 6 × 1014 Hz; 45° 10 10 40 m CHAPTER 11 11 1 (a) 7 24 × 1018 Hz (b) 0
9
3999-4002
10 40 m CHAPTER 11 11 1 (a) 7 24 × 1018 Hz (b) 0 041 nm 11
9
4000-4003
1 (a) 7 24 × 1018 Hz (b) 0 041 nm 11 2 (a) 0
9
4001-4004
24 × 1018 Hz (b) 0 041 nm 11 2 (a) 0 34 eV = 0
9
4002-4005
041 nm 11 2 (a) 0 34 eV = 0 54 × 10–19J (b) 0
9
4003-4006
2 (a) 0 34 eV = 0 54 × 10–19J (b) 0 34 V (c) 344 km/s 11
9
4004-4007
34 eV = 0 54 × 10–19J (b) 0 34 V (c) 344 km/s 11 3 1
9
4005-4008
54 × 10–19J (b) 0 34 V (c) 344 km/s 11 3 1 5 eV = 2
9
4006-4009
34 V (c) 344 km/s 11 3 1 5 eV = 2 4 × 10–19 J 11
9
4007-4010
3 1 5 eV = 2 4 × 10–19 J 11 4 (a) 3
9
4008-4011
5 eV = 2 4 × 10–19 J 11 4 (a) 3 14 × 10–19J, 1
9
4009-4012
4 × 10–19 J 11 4 (a) 3 14 × 10–19J, 1 05 × 10–27 kg m/s (b) 3 × 1016 photons/s (c) 0
9
4010-4013
4 (a) 3 14 × 10–19J, 1 05 × 10–27 kg m/s (b) 3 × 1016 photons/s (c) 0 63 m/s 11
9
4011-4014
14 × 10–19J, 1 05 × 10–27 kg m/s (b) 3 × 1016 photons/s (c) 0 63 m/s 11 5 6
9
4012-4015
05 × 10–27 kg m/s (b) 3 × 1016 photons/s (c) 0 63 m/s 11 5 6 59 × 10–34 J s 11
9
4013-4016
63 m/s 11 5 6 59 × 10–34 J s 11 6 2
9
4014-4017
5 6 59 × 10–34 J s 11 6 2 0 V 11
9
4015-4018
59 × 10–34 J s 11 6 2 0 V 11 7 No, because n < no 11
9
4016-4019
6 2 0 V 11 7 No, because n < no 11 8 4
9
4017-4020
0 V 11 7 No, because n < no 11 8 4 73 × 1014 Hz 11
9
4018-4021
7 No, because n < no 11 8 4 73 × 1014 Hz 11 9 2
9
4019-4022
8 4 73 × 1014 Hz 11 9 2 16 eV = 3
9
4020-4023
73 × 1014 Hz 11 9 2 16 eV = 3 46 × 10–19J 11
9
4021-4024
9 2 16 eV = 3 46 × 10–19J 11 10 (a) 1
9
4022-4025
16 eV = 3 46 × 10–19J 11 10 (a) 1 7 × 10–35 m (b) 1
9
4023-4026
46 × 10–19J 11 10 (a) 1 7 × 10–35 m (b) 1 1 × 10–32 m (c) 3
9
4024-4027
10 (a) 1 7 × 10–35 m (b) 1 1 × 10–32 m (c) 3 0 × 10–23 m 11
9
4025-4028
7 × 10–35 m (b) 1 1 × 10–32 m (c) 3 0 × 10–23 m 11 11 l = h/p = h/(hn/c) = c/n CHAPTER 12 12
9
4026-4029
1 × 10–32 m (c) 3 0 × 10–23 m 11 11 l = h/p = h/(hn/c) = c/n CHAPTER 12 12 1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models 12
9
4027-4030
0 × 10–23 m 11 11 l = h/p = h/(hn/c) = c/n CHAPTER 12 12 1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models 12 2 The nucleus of a hydrogen atom is a proton
9
4028-4031
11 l = h/p = h/(hn/c) = c/n CHAPTER 12 12 1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models 12 2 The nucleus of a hydrogen atom is a proton The mass of it is 1
9
4029-4032
1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models 12 2 The nucleus of a hydrogen atom is a proton The mass of it is 1 67 × 10–27 kg, whereas the mass of an incident a-particle is 6
9
4030-4033
2 The nucleus of a hydrogen atom is a proton The mass of it is 1 67 × 10–27 kg, whereas the mass of an incident a-particle is 6 64 × 10–27 kg
9
4031-4034
The mass of it is 1 67 × 10–27 kg, whereas the mass of an incident a-particle is 6 64 × 10–27 kg Because the scattering particle is more massive than the target nuclei (proton), the a-particle won’t bounce back in even in a head-on collision
9
4032-4035
67 × 10–27 kg, whereas the mass of an incident a-particle is 6 64 × 10–27 kg Because the scattering particle is more massive than the target nuclei (proton), the a-particle won’t bounce back in even in a head-on collision It is similar to a football colliding with a tenis ball at rest
9
4033-4036
64 × 10–27 kg Because the scattering particle is more massive than the target nuclei (proton), the a-particle won’t bounce back in even in a head-on collision It is similar to a football colliding with a tenis ball at rest Thus, there would be no large-angle scattering
9
4034-4037
Because the scattering particle is more massive than the target nuclei (proton), the a-particle won’t bounce back in even in a head-on collision It is similar to a football colliding with a tenis ball at rest Thus, there would be no large-angle scattering 12
9
4035-4038
It is similar to a football colliding with a tenis ball at rest Thus, there would be no large-angle scattering 12 3 5
9
4036-4039
Thus, there would be no large-angle scattering 12 3 5 6 ´ 1014 Hz 12
9
4037-4040
12 3 5 6 ´ 1014 Hz 12 4 13
9
4038-4041
3 5 6 ´ 1014 Hz 12 4 13 6 eV; –27