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Q.

A ray of monochromatic light is incident on the refracting face of a prism (angle 75°). It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the prism is 2, then the angle of incidence on the first face of the prism is

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a

15°

b

30°

c

45°

d

60°

answer is C.

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Detailed Solution

sin ic=12⇒ic=45° Now,  75° = r + 45° or r = 30° Now, sin isin 30°=2 or        sin i = 2×12=12 ∴        i = 45°
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