Question

When a ray of light is incident at angle of ${60}^{\circ }$to a medium of refractive index n, it is observed that the angle of refraction is half of the angle of incidence. The value of n is

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

Answer 1

The correct option is C $\sqrt{3}$

Applying snell's law,

$n_{1}sini=n_{2}sinr1\times sin60=nsin30\frac{\sqrt{3}}{2}=n\times \frac{1}{2}n=\sqrt{3}$