Question

The refractive index of a medium is $\sqrt{3}$. Which one of the following is correct?

• A. The sine of angle of incidence is $\sqrt{3}$ times the sine of angle of refraction
• B. The angle of incidence is twice the angle of refraction
• C. The sine of angle of refraction is $\sqrt{3}$ times the sine of angle of incidence
• D. The angle of refraction is twice the angle of incidence

Answer 1

Answer: (A)

The sine of angle of incidence is $\sqrt{3}$ times the sine of angle of refraction

Given: $n_2=\sqrt{3}$ $n_1=1$

Using Snell's law of refraction,

$n_1\sin i=n_2\sin r$

Or $1\times \sin i=\sqrt{3}\sin r$

$⟹$ $\sin i=\sqrt{3}\sin r$