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Question: The velocity of light in air is 3×10<sup>8</sup> m s<sup>-1</sup> and that in water is 2.2×10<sup>8<...

The velocity of light in air is 3×108 m s-1 and that in water is 2.2×108 m s-1. The polarizing angle of incidence is:

A

450

B

500

C

53.740

D

630

Answer

53.740

Explanation

Solution

The refractive index of water

μ=speedoflightinairspeedoflightinwater=3×1082.2×108=1.36a\mu = \frac{speedoflightinair}{speedoflightinwater} = \frac{3 \times 10^{8}}{2.2 \times 10^{8}} = 1.36a

From Brewsters law,

tanip=μ=1.363\tan i_{p} = \mu = 1.363

ip=tan1(1.36)=53.74º\therefore i_{p} = \tan^{- 1}(1.36) = 53.74º