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Question: On a glass plate a light wave is incident at an angle of 60<sup>0</sup>. If the reflected and the re...

On a glass plate a light wave is incident at an angle of 600. If the reflected and the refracted waves are mutually perpendicular, the refractive index of material is

A

32\frac { \sqrt { 3 } } { 2 }

B

3\sqrt { 3 }

C

32\frac { 3 } { 2 }

D

13\frac { 1 } { \sqrt { 3 } }

Answer

3\sqrt { 3 }

Explanation

Solution

From figure r=30∘r = 30 ^ { \circ }

μ=sin⁡isin⁡r=sin⁡60∘sin⁡30∘=3\mu = \frac { \sin i } { \sin r } = \frac { \sin 60 ^ { \circ } } { \sin 30 ^ { \circ } } = \sqrt { 3 }