First slide

Prism

Question

The minimum deviation produced by a hollow prism filled with a certain liquid is found to be 30°. The light ray is also found to be refracted at angle of 30°. The refractive index of the liquid is

Moderate

A

$\sqrt{2}$
B

$\sqrt{3}$
C

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

$\frac{3}{2}$

Solution

For minimum angle of deviation for a prism
$A = 2 r, ∴ A = 60^{\circ} N ow μ = \frac{\sin \frac{60 + 30}{2}}{\sin \frac{60}{2}} = \frac{\sin 45^{\circ}}{\sin 30^{\circ}} = \frac{1}{\sqrt{2}} \times \frac{2}{1} = \sqrt{2}$

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