First slide

Prism

Question

A prism ABC of angle 30° has its face AC silvered. A ray of light incident at an angle of 45° at the face AB retraces its path after refraction at face AB and reflection at face AC. The refractive index of the material of the prism is

Moderate

A

1.5
B

$\frac{3}{\sqrt{2}}$
C

$\sqrt{2}$
D

$\frac{4}{3}$

Solution

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

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