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  4. A prism A B C of angle 30° has its face A C silvered. A ray of light incident at an angle of 45° 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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Q. 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 isPhysics Question Image

Ray Optics and Optical Instruments

Solution:

$A=r+0 \Rightarrow r=30^{\circ}$
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$\therefore \mu=\frac{\sin i}{\sin r}=\frac{\sin 45^{\circ}}{\sin 30^{\circ}}=\sqrt{2}$