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MHT CET 2023 (9 May, Shift 1) · Prism, Dispersion & Scattering

Prism, Dispersion & Scattering question from MHT CET 2023 (9 May, Shift 1)

Q47MHT CET 2023 · 9 MAY · SHIFT 1Medium

Prism, Dispersion & Scattering

The angle of prism is $A$ and one of its refracting surface is silvered. Light rays falling at an angle of incidence ' $2A$ ' on the first surface return back through the same path after suffering reflection at the silvered surface. The refractive index of the material of the prism is

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Answer: (c)

Retracing needs normal incidence on the silvered face: $r_2 = 0 \Rightarrow r_1 = A$ .
$\sin 2A = \mu\sin A \Rightarrow \mu = 2\cos A$
So the answer is (c) $2\cos A$ .

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