Question

A ray of light is incident on a glass plate at an angle of ${60}^{\circ }$. If the reflected and the refracted rays are mutually perpendicular, then the refractive index of material is

• A. $\frac{\sqrt{3}}{2}$
• B. $\sqrt{3}$
• C. $\frac{3}{2}$
• D. $\frac{1}{\sqrt{3}}$

Answer 1

The correct option is B

$\sqrt{3}$

Given that the reflected and the refracted rays are perpendicular as shown in the diagram,


The angle of refraction $r={30}^{\circ }$
$\therefore \mu =\frac{sini}{sinr}=\frac{sin{60}^{\circ }}{sin{30}^{\circ }}=\sqrt{3}$