Question

Question 4
The 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

(a) $\frac{\sqrt{3}}{\sqrt{2}}$
let $n_a$ = Refractive index of medium 'a' with respect to vaccum,
$n_b$ = Refractive index of medium 'b' with respect to vaccum,
$n_{a}sin{60}^{\circ }=n_{b}sin{45}^{\circ }$

$\frac{n_b}{n_a}=\frac{sin{60}^{\circ }}{sin{45}^{\circ }}$

$\frac{n_b}{n_a}=\frac{\frac{\sqrt{3}}{2}}{\frac{1}{\sqrt{2}}}=\frac{\sqrt{3}}{\sqrt{2}}$