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A light ray incident normally on one face of an equilateral prism and emerges out grazingly at the other face. The refractive index of the prism is:

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$2 \sqrt{3 / 5}$

$\sqrt{3}$

$2 / \sqrt{3}$

$\sqrt{2}$

answer is D.

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Detailed Solution

$i = 0, A = 60^{\circ}, e = 90^{\circ}$

$-if i = 0 then r_{1} = 0$

$A = r_{1} + r_{2} \Rightarrow A = r_{2} = 60^{\circ}$

$μ \times \sin r_{2} = 1 \times \sin e$

$μ = \frac{\sin e}{\sin r_{2}} = \frac{\sin 90^{\circ}}{\sin 60^{\circ}} = \frac{2}{\sqrt{3}}$

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