Question

A ray of light is incident on the surface of a glass plate of refractive index $1.732$ at the polarizing angle. The angle of refraction is,

• A. ${60}^{\circ }$
• B. ${45}^{\circ }$
• C. ${30}^{\circ }$
• D. ${15}^{\circ }$

Answer 1

The correct option is C ${30}^{\circ }$

For polarizing angle of incidence,

$\tan i_p=\mu$

$1.732=\tan i_p\Rightarrow i_p={\tan }^{-1}\left(1.732\right)={60}^{\circ }$

Also, for polarizing angle of incidence,
$i_p+r={90}^{\circ }$

where, $r$ is the angle of refraction.

$\therefore r={90}^{\circ }-i_p={30}^{\circ }$

Hence, $\left(C\right)$ is the correct answer.