Q.

The refractive index of the material of a prism is 2 and the angle of the prism is 30o . One of the two refracting surfaces of the prism is made a mirror 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

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a

600

b

450

c

300

d

zero

answer is B.

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Detailed Solution

For retracing the path shown in figure, light ray should be incident normally on the silvered face. Applying Snell’s law at point M,sinisin30°=21⇒sini=2×12sini=12 i.e., i=45°
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The refractive index of the material of a prism is 2 and the angle of the prism is 30o . One of the two refracting surfaces of the prism is made a mirror 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