Question

A ray of monochromatic green light enters a liquid from air, as shown in figure. The angle $1$ is ${45}^o$ and angle $2$ is ${30}^o$ Find the refractive index of light.

• A. $1$
• B. $\sqrt{0.5}$
• C. $\sqrt{2}$
• D. $2$

Answer 1

Answer: (C)

$\sqrt{2}$

$R{I}_{12}=\frac{\sin i}{\sin r}$
Thus, $R{I}_{12}=\frac{\sin 45}{\sin 30}=\frac{\frac{1}{\sqrt{2}}}{\frac{1}{2}}=\sqrt{2}$