Q. No.A ray of light \(AO\) in vacuum is incident on a glass slab at angle \(60^\circ\) and refracted at angle \(30^\circ\) along \(OB\) as shown in the figure. The optical path length of light ray from \(A\) to \(B\) is:
| 1. | \( 2 a+2 b \) | 2. | \( \dfrac{2 \sqrt{3}}{a}+2 b \) |
| 3. | \( 2 a+\dfrac{2 b}{a} \) | 4. | \( 2 a+\dfrac{2 b}{\sqrt{3}}\) |
Subtopic: Refraction at Plane Surface |
From NCERT
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A transparent cube of side, made of a material of refractive index \(\mu_2\), is immersed in a liquid of refractive index \(\mu_1(\mu_1<\mu_2)\) . A ray is incident on the face \(AB\) at an angle \(\theta\) (shown in the figure). Total internal reflection takes place at point \(E\) on the face \(BC\).
Then \(\theta\) must satisfy:
1. \(\theta>\sin^{-1}\sqrt{\frac{\mu_2^2}{\mu_1^2}-1} \)
2. \(\theta<\sin^{-1}\sqrt{\frac{\mu_2^2}{\mu_1^2}-1} \)
3. \(\theta<\sin^{-1}\frac{\mu_1}{\mu_2}\)
4. \(\theta>\sin^{-1}\frac{\mu_1}{\mu_2}\)
Subtopic: Refraction at Plane Surface |
From NCERT
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The difference in speed of light in the two media A and B \((\text v_A - \text v_B)\) is \(2.6 \times 10^7~m/s\). If the refractive index of medium B is 1.47, then the ratio of the refractive index of medium B to medium A is: (Given: speed of light in vacuum \(\mathrm{c}=3 \times 10^{\mathrm{8}} \mathrm{ms}^{-1}\))
1. 1.303
2. 1.318
3. 1.13
4. 0.12
1. 1.303
2. 1.318
3. 1.13
4. 0.12
Subtopic: Refraction at Plane Surface |
From NCERT
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Consider a light ray travelling in air is incident into a medium of refractive index \(\sqrt {2n}\) . The incident angle is twice that of refracting angle. Then, the angle of incidence will be:
1. \(\sin ^{-1}(\sqrt{n}) \)
2. \( \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right) \)
3. \( \sin ^{-1}(\sqrt{2 n}) \)
4. \( 2 \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right)\)
1. \(\sin ^{-1}(\sqrt{n}) \)
2. \( \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right) \)
3. \( \sin ^{-1}(\sqrt{2 n}) \)
4. \( 2 \cos ^{-1}\left(\sqrt{\frac{n}{2}}\right)\)
Subtopic: Refraction at Plane Surface |
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From NCERT
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Time taken by light to travel in two different materials A and B of refractive indices \(\mu_A\) and \(\mu_B\) of same thickness is \(t_1\) and \(t_2\) respectively. If \(t_2-t_1=5\times10^{-10}\) s and the ratio of \(\mu_A\) to \(\mu_B\) is \(1:2.\) Then the thickness of material, in meter is : (Given \(v_A\) and \(v_B\) are velocities of light in A and B materials respectively).
1. \(5\times10^{-10}v_A\) m
2. \(5\times10^{-10}\) m
3. \(1.5\times10^{-10}\) m
4. \(5\times10^{-10}v_B\) m
1. \(5\times10^{-10}v_A\) m
2. \(5\times10^{-10}\) m
3. \(1.5\times10^{-10}\) m
4. \(5\times10^{-10}v_B\) m
Subtopic: Refraction at Plane Surface |
64%
From NCERT
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Light enters from air into a given medium at an angle of 45° with the interface of the air-medium surface. After refraction, the light ray deviates through an angle of 15° from its original direction. The refractive index of the medium is:
1. 1.732
2. 1.333
3. 1.414
4. 2.732
1. 1.732
2. 1.333
3. 1.414
4. 2.732
Subtopic: Refraction at Plane Surface |
From NCERT
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A ray undergoes refraction at boundary of a medium such that incident angle is 45° while refraction angel is 30°. Wavelength and frequency of incident ray are \(\lambda_{1}\) and \(v_{1}\) while for refracted ray are \(\lambda_{2}\) and \(v_{2}\), then
1. \(\lambda_{1}=\lambda_{2},v_{1}={{v_{2}}\over{\sqrt{2}}}\)
2,. \(\lambda_{1}=\lambda_{2},v_{2}=2v_{1}\)
3. \(\lambda_{1}=\sqrt{2}\lambda_{2},v_{1}=v_{2}\)
4. \(\lambda_{1}={{\lambda_{2}}\over{\sqrt{2}}},v_{1}=v_{2}\)
1. \(\lambda_{1}=\lambda_{2},v_{1}={{v_{2}}\over{\sqrt{2}}}\)
2,. \(\lambda_{1}=\lambda_{2},v_{2}=2v_{1}\)
3. \(\lambda_{1}=\sqrt{2}\lambda_{2},v_{1}=v_{2}\)
4. \(\lambda_{1}={{\lambda_{2}}\over{\sqrt{2}}},v_{1}=v_{2}\)
Subtopic: Refraction at Plane Surface |
JEE
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If light is passing through a medium of critical angle \(45^o\), then the wave speed will be
1. \({3 \over \sqrt 2 } \times 10^8~ m/s\)
2. \(3 \sqrt 2 \times 10^8 ~m/s\)
3. \({3 \over 2} \times 10^8 ~m/s\)
4. \(3 \times 10^8~ m/s\)
1. \({3 \over \sqrt 2 } \times 10^8~ m/s\)
2. \(3 \sqrt 2 \times 10^8 ~m/s\)
3. \({3 \over 2} \times 10^8 ~m/s\)
4. \(3 \times 10^8~ m/s\)
Subtopic: Refraction at Plane Surface |
JEE
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In the given figure, the speed of the bird as seen by the fish is:
1. \(24\) m/s
2. \(16\) m/s
3. \(20\) m/s
4. \(12\) m/s
1. \(24\) m/s
2. \(16\) m/s
3. \(20\) m/s
4. \(12\) m/s
Subtopic: Refraction at Plane Surface |
From NCERT
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What is the apparent depth of the bottom of the beaker shown in the figure, filled with water and oil?
1. \({5 \text H \over 8}\)
2. \({4 \text H \over 5}\)
3. \({3 \text H \over 4}\)
4. \({7 \text H \over 8}\)
1. \({5 \text H \over 8}\)
2. \({4 \text H \over 5}\)
3. \({3 \text H \over 4}\)
4. \({7 \text H \over 8}\)
Subtopic: Refraction at Plane Surface |
From NCERT
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