The velocity of light in air is `3xx10^(8)ms^(-1)` and that in water is `2.2xx10^(8)ms^(-1).` Find the polrising an gle of incidence.

Options

A. `45^(@)`
B. `50^(@)`
C. `53.74^(@)`
D. `63^(@)`

Answer

C

Explanation

The refractive index of water
`mu=("speed of light in air")/("speed of light in water")=(3xx10^(8))/(2.2xx10^(8))=1.36`
From Brewsters law,
`tani_(p)=mu=1.363`
`:.i_(p)=tan^(-1)(1.36)=53.74^(@)`