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A prism $A B C$ of angle $30^{\circ}$ has its face $A C$ silvered. A ray of light incident at an angle of $45^{\circ}$ at the face $A B$ retraces its path after refraction at face $A B$ and reflection at face $A C$. The refractive index of the material of the prism is
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The correct answer is:
$\sqrt{2}$
$A=r+0 \Rightarrow r=30^{\circ}$
$\therefore \mu=\frac{\sin i}{\sin r}=\frac{\sin 45^{\circ}}{\sin 30^{\circ}}=\sqrt{2}$
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