Question

Find the value of the angle of emergence from the prism. Refractive index of the glass is $\sqrt{3}$.

• A. ${90}^{\circ }$
• B. ${60}^{\circ }$
• C. ${30}^{\circ }$
• D. ${45}^{\circ }$

Answer 1

The correct option is B ${60}^{\circ }$

From the ray diagram shown in figure.


At point $\text{P}$, apply Snell's law,

${\mu }_{air}\sin e={\mu }_{glass}\sin {30}^{\circ }$

$\Rightarrow \sin e=\sqrt{3}\times \frac{1}{2}$

$\Rightarrow \angle e={60}^{\circ }$

Hence, $\left(\text{B}\right)$ is the correct answer.