Question

A ray of light travelling in air is incident on the plane of a transparent medium. The angle of incidence is ${45}^{\circ }$ and that of refraction is ${30}^{\circ }$. Find the refractive index of the medium.

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

Answer 1

The correct option is D

$\sqrt{2}$

$\angle i={45}^{\circ }$
$\angle r={30}^{\circ }$
$\mu =\frac{sini}{sinr}=\frac{sin{45}^{\circ }}{sin{30}^{\circ }}=\frac{\left(\frac{1}{\sqrt{2}}\right)}{\left(\frac{1}{2}\right)}=\sqrt{2}$