54. The refractive index of the material of a prism is √2 and its refracting angle is 30°. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light enters the prism from the mirror surface if its angle of incidence of the prism is ?
(a) 30°
(b) 45°
(c) 60°
(d) 0°
Answer : (b) 45°
\( \frac{\sin i}{\sin r} = \mu \)
\( \frac{\sin i}{\sin 30^\circ} = \sqrt{2} \)
\( \sin i = \frac{\sqrt{2}}{2} = \frac{1}{\sqrt{2}} \)
\( i = 45^\circ \)
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