Question

The figure shows refraction of a light ray from a glass slab. Write the value of angles x and y. What is refractive index of slab material ?

Answer 1

At upper surface of glass slab

$\frac{sini}{sinr}=\mu \frac{sin{45}^0}{sin{30}^0}=\mu$

$\Rightarrow \mu =\sqrt{2}$

At lower surface of glass slab

$\frac{sinx}{siny}=\frac{1}{\mu }$

by putting value of $xand\mu$

$x={30}^0$

$\frac{sin{30}^0}{siny}=\frac{1}{\sqrt{2}}$

$\Rightarrow y={45}^0$