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Question

The refractive index of the material of a prism is 2 and the angle of the prism is 300. One of the two refracting surfaces of the prism is made a mirror facing inwards by silver coating. A beam of monochromatic light entering the prism from the other face will retrace its path (after reflection from the silvered surface), if its angle of incidence on the prism is

A
600
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B
450
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C
300
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D
00
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Solution

The correct option is B 450

r2 = 0°r1 = A = 30° sin i = μ sin rsin i = 2 sin30° = 2×12 = 12sin i=12i = 45°

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