Figure shows a ray of light as it travels

Question:

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) $\sqrt{3} / \sqrt{2}$

(b) $\sqrt{2} / \sqrt{3}$

(c) $1 / \sqrt{2}$

(d) $\sqrt{2}$

Solution:

(a).

Explanation. $\mathrm{n}_{\mathrm{BA}}=\frac{\sin i}{\sin r}=\frac{\sin 60^{\circ}}{\sin 45^{\circ}}=\frac{\sqrt{3} / 2}{1 / \sqrt{2}}=\frac{\sqrt{3}}{\sqrt{2}}$

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