When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observ

Question

When an unpolarized light falls at a particular angle on a glass plate (placed in air), it is observed that the reflected beam is linearly polarized. The angle of refracted beam with respect to the normal is $\_\_\_\_$ .
$\left(	an ^{-1}(1.52)=57.7^{\circ}ight.$, , refractive indices of air and glass are 1.00 and 1.52, respectively.)

Professor PC Thomas Classes · Answer

The reflected beam is linearly polarized when light is incident at Brewster's angle, given by $	an 	heta_p = \mu$. Here, $	an 	heta_p = 1.52 \implies 	heta_p = 57.7^\circ$. At Brewster's angle, the reflected and refracted rays are perpendicular to each other, meaning $	heta_p + r = 90^\circ$. Therefore, the angle of refraction is $r = 90^\circ - 	heta_p = 90^\circ - 57.7^\circ = 32.3^\circ$.