Question

The given figure shows a ray of light as it travels from medium A to medium B. Refractive index of the medium B relative to medium A is:

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

Answer 1

The correct option is A $\frac{\sqrt{3}}{\sqrt{2}}$

Answer is A.

The Snell's law simply relates angles $i$ and $r$ to the refraction indices of the two media A and B. Therefore, refractive index of medium B relative to medium A is:
$n=\frac{sini}{sinr}=\frac{sin{60}^0}{sin{45}^0}=\frac{\sqrt{3}}{\sqrt{2}}$.