Question

A ray of light strikes a glass plate at an angle of $60°$. If the reflected and refracted rays are perpendicular to each other, then the refractive index of glass is

Answer 1

Step 1: Given data

The polarizing angle of incidence, $i_p=60°$

The reflected and refracted rays are perpendicular to each other

Step 2: Formula used

From Brewster's law

$\mu =\tan i_p$

Step 3: Solution

$$\begin{gathered} \Rightarrow \mu =\tan 60° \\ \Rightarrow \mu =\sqrt{3} \end{gathered}$$

Hence, the refractive index is $\sqrt{3}$.