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Q. When the angle of incidence on a material is 60$^{\circ}$, the reflected light is completely polarized. The velocity of the refracted ray inside the material is (in $ms^{-1}$)

KEAMKEAM 2005Wave Optics

Solution:

From Brewster's law, $\mu = tan \, i_p$
$\Rightarrow \frac{c}{v} = tan \, 60^\circ = \sqrt3$
$\Rightarrow v = \frac{c}{\sqrt3} = \frac{3 \times 10^8}{\sqrt3}$
$ = \sqrt3 \times 10^8 \, ms^{-1}$