X is a small angle prism of angle 3^o made of material of refractive index 1.5. A ray of light is made to incident on it as shown in figure. M is a plane mirror. The angle of deviation for the ray reflected from the mirror M with respect to incident ray is

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178.5^o

4.5^o

177^o

175.3^o

answer is D.

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Detailed Solution

Angle of deviation for prism is,
$d = A (μ - 1) = 3 (1.5 - 1) = {1.5}^{0}$
Angle of deviation for mirror in
$d^{'} = 180^{\circ} - d = 180^{0} - {1.5}^{0} = {178.5}^{0}$

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