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Question

Angle of a prism whose one surface is 30 and its refractive index is 2. At what angle of incidence, a ray should be incident on the surface so that after reflection from the silvered surface, it retraces its path


A
30°
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B
60°
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C
45°
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D
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Solution

The correct option is C 45°

Given: A = 30 and μ=2



By Snell's law at surface AB
μ=sin isin r

For a ray to retraces its path, it should fall at 90 on the silver surface.

In ΔAOM
A+O+M=18090r+30+90=180r=30

2=sin isin 30i=45


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