SATHEE: Ray Optics and Optical Instruments

Ray Optics and Optical Instruments - Result Question 61

64. The refractive index of the material of a prism is $\sqrt{2}$ and its refracting angle is $30^{\circ}$ . One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light enters the prism from the mirror surface if its angle of incidence of the prism is

(a) $30^{\circ}$

(b) $45^{\circ}$

(c) $60^{\circ}$

(d) $0^{\circ}$

[2004, 1992]

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Answer:

Correct Answer: 64. (b)

Solution:

(b) $∠ r = 30^{\circ}$ (using law of triangle)

$\begin{aligned} \Rightarrow μ = \frac{\sin i}{\sin r} \\ \Rightarrow \sqrt{2} \times \sin 30^{\circ} = \sin i \\ \Rightarrow \sin i = \frac{1}{\sqrt{2}} \Rightarrow i = 45^{\circ} . \end{aligned}$

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Ray Optics and Optical Instruments - Result Question 61

64. The refractive index of the material of a prism is 2 and its refracting angle is 30∘. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light enters the prism from the mirror surface if its angle of incidence of the prism is

Answer:

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64. The refractive index of the material of a prism is $\sqrt{2}$ and its refracting angle is $30^{\circ}$ . One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light enters the prism from the mirror surface if its angle of incidence of the prism is