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Q. No.A green light is an incident from the water to the air-water interface at the critical angle \((\theta)\). Select the correct statement:
| 1. | The spectrum of visible light whose frequency is less than that of green light will come out to the air medium. |
| 2. | The spectrum of visible light whose frequency is more than that of green light will come out to the air medium. |
| 3. | The entire spectrum of visible light will come out of the water at various angles to the normal. |
| 4. | The entire spectrum of visible light will come out of the water at an angle of \(90^\circ\) to the normal. |
Subtopic: Total Internal Reflection |
From NCERT
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Let the refractive index of a denser medium with respect to a rarer medium be \({n}_{12}\) and its critical angle is \(\theta_\text{C}.\) At an angle of incidence \(A,\) when light is traveling from a denser medium to a rarer medium, a part of the light is reflected and the rest is refracted. The angle between reflected and refracted rays is \(90^\circ.\) The angle \(A\) is given by:
1. \(\cos^{-1}(\sin\theta_\text{C})\)
2. \(\frac{1}{\tan^{-1}(\sin\theta_\text{C})}\)
3. \(\tan^{-1}(\sin\theta_\text{C})\)
4. \(\frac{1}{\cos^{-1}(\sin\theta_\text{C})}\)
1. \(\cos^{-1}(\sin\theta_\text{C})\)
2. \(\frac{1}{\tan^{-1}(\sin\theta_\text{C})}\)
3. \(\tan^{-1}(\sin\theta_\text{C})\)
4. \(\frac{1}{\cos^{-1}(\sin\theta_\text{C})}\)
Subtopic: Total Internal Reflection |
From NCERT
JEE
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In figure, the optical fiber is \(l=2~\text{m}\) long and has a diameter of \(d=20~\mu\text{m}\). If a ray of light is incident on one end of the fiber at angle \(\theta_1=40^\circ\), the number of reflections it makes before emerging from the other end is close to: (refractive index of fiber is \(1.31\) and \(\sin 40^{\circ}=0.64\))
1. \(66000\)
2. \(55000\)
3. \(45000\)
4. \(57000\)
Subtopic: Total Internal Reflection |
From NCERT
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Consider a tank made of glass \(\text{(refractive index 1.5)} \) with a thick bottom. It is filled with a liquid of refractive index \(\mu.\) A student finds that, irrespective of what the incident angle \((i) \) (see figure) is for a beam of light entering the liquid, the light reflected from the liquid glass interface is never completely polarized. For this to happen, the minimum value of \(\mu \) is:
1. \(\sqrt{\dfrac{5} {3 }} \)
2. \(\dfrac {3 }{\sqrt{5}}\)
3. \(\dfrac {5 }{\sqrt{3}}\)
4. \(\dfrac {4 }{{3}}\)
1. \(\sqrt{\dfrac{5} {3 }} \)
2. \(\dfrac {3 }{\sqrt{5}}\)
3. \(\dfrac {5 }{\sqrt{3}}\)
4. \(\dfrac {4 }{{3}}\)
Subtopic: Total Internal Reflection |
From NCERT
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A light wave travelling linearly in a medium of dielectric constant 4, incident on the horizontal interface separating medium with air. The angle of incidence for which the total intensity of the incident wave will be reflected back into the same medium will be: (Given: relative permeability of medium \(\mu_r = 1\))
1. 10°
2. 20°
3. 30°
4. 60°
1. 10°
2. 20°
3. 30°
4. 60°
Subtopic: Total Internal Reflection |
From NCERT
JEE
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The speed of light in media 'A' and 'B' are 2.0 × 1010 cm/s and 1.5 × 1010 chm/s respectively. A ray of light enters from the medium B to A at an incident angle '\(\theta\)'. If the ray suffers total internal reflection, then
1. \(\theta=\sin ^{-1}\left(\frac{3}{4}\right) \)
2. \(\theta>\sin ^{-1}\left(\frac{2}{3}\right) \)
3. \(\theta<\sin ^{-1}\left(\frac{3}{4}\right) \)
4. \(\theta>\sin ^{-1}\left(\frac{3}{4}\right)\)
1. \(\theta=\sin ^{-1}\left(\frac{3}{4}\right) \)
2. \(\theta>\sin ^{-1}\left(\frac{2}{3}\right) \)
3. \(\theta<\sin ^{-1}\left(\frac{3}{4}\right) \)
4. \(\theta>\sin ^{-1}\left(\frac{3}{4}\right)\)
Subtopic: Total Internal Reflection |
From NCERT
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Light travels in two media \(M_1\) and \(M_2\) with speeds \(1.5 \times 10^8 ~\text{ms}^{-1}\) and \(2.0 \times 10^8~ \text{ms}^{-1}\) respectively. The critical angle between them is:
1. \( \tan ^{-1}\left(\dfrac{3}{\sqrt{7}}\right ) \)
2. \( \tan ^{-1}\left(\dfrac{2}{3}\right) \)
3. \(\cos ^{-1}\left(\dfrac{3}{4}\right) \)
4. \(\sin ^{-1}\left(\dfrac{2}{3}\right)\)
1. \( \tan ^{-1}\left(\dfrac{3}{\sqrt{7}}\right ) \)
2. \( \tan ^{-1}\left(\dfrac{2}{3}\right) \)
3. \(\cos ^{-1}\left(\dfrac{3}{4}\right) \)
4. \(\sin ^{-1}\left(\dfrac{2}{3}\right)\)
Subtopic: Total Internal Reflection |
63%
From NCERT
JEE
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Critical angle of incidence for a pair of optical media is \(45^\circ .\) The refractive indices of first and second media are in the ratio:
1. \(1:\sqrt{2}\)
2. \(1:2\)
3. \(\sqrt{2}:1\)
4. \(2:1\)
1. \(1:\sqrt{2}\)
2. \(1:2\)
3. \(\sqrt{2}:1\)
4. \(2:1\)
Subtopic: Total Internal Reflection |
JEE
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