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NEET 2004 (AIPMT) · Prism, Dispersion & Scattering

Prism, Dispersion & Scattering question from NEET 2004 (AIPMT)

Q89NEET 2004 · AIPMTMedium

Prism, Dispersion & Scattering

The refractive index of the material of a prism is $\sqrt{2}$ and its refracting angle is 30°. One of the refracting surfaces of the prism is made a mirror inwards. A beam of monochromatic light entering the prism from the other face with retrace its path after reflection from the mirrored surface if its angle of incidence on the prism is

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Answer: (a)

Retracing needs normal incidence on the mirrored face, so $r = A = 30^\circ$ .
$\sin i = \sqrt{2}\sin 30^\circ = \frac{1}{\sqrt{2}}$
So the answer is (a) $45^\circ$ .

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