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A glass prism has refractive index 2, and refracting angle 30°. One of the refracting surface of the prism is silvered. A beam of monochromatic light will retrace it path if its angle of incidence on the unsilvered refracting surface of the prism is

a
0
b
π/6
c
π/4
d
π/3

detailed solution

Correct option is C

A =r1+r2 30°=r1+0 or    r1=30° Now,    sin isin 30°=2 or sin = 2×12 or   i = 45°

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