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The angle of a prism is A. One of its refracting surfaces is silvered. Light rays falling at an angle of incidence 2A on the first surf-ace returns back through the same path after suffering reflection at the silvered surface. The refractive index p, of the prism is

(a) 2 sin A

(b) 2 cos A

(c) 1/2 cos A

(d) tan A

1 Answer

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Best answer

Correct option  (b) 2 cos A

Explanation:

On reflection from the silvered surface, the incident ray will retrace its path, if it falls normally on the surface.

By geometry r =A

Applying Snell's law at surface PQ,

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