$(a)\;90^{\circ} \\ (b)\;60^{\circ} \\ (c)\;45^{\circ} \\ (d)\;30^{\circ} $

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Critical angle $\theta_c=\sin ^{-1} \bigg(\large\frac{1}{\mu}\bigg)$

$\qquad= \sin ^{-1} \bigg(\large\frac{1}{2} \bigg)$

$\qquad= 30^{\circ}$

The angles made by the ray inside the prism canot be greater than$30^{\circ}$

A= $r_1+r_2$

if $ A > 60$, the ray does not emerge from prism.

So maximum refracting angle can be $60^{\circ}$

Hence b is the correct answer.

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