First slide

Ray optics

Question

Angle of a prism is 30° and its refractive index is $\sqrt{2}$ and one of the surface is silvered. At what angle of incidence, a ray should be incident on one surface so that after reflection from the silvered surface. it retraces its path?

Moderate

A

30°
B

60°
C

45°
D

$\sin^{- 1} \sqrt{1.5}$

Solution

$A = r + 0 \Rightarrow r = 30^{o}$
From Snell's law at surface AB
$μ = \frac{\sin i}{\sin i} \Rightarrow \sqrt{2} = \frac{\sin i}{\sin 30^{o}} \Rightarrow i = 45^{o}$

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