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The Medium (2021)

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A ray of light is incident in medium 1 on a surface that separates medium 1 from medium 2. Let \( v_{1} \) and \( \mathrm{v}_{2} \) represent the velocity of light in medium 1 and medium 2 respectively. Also let \( \mathrm{n}_{12} \) and \( \mathrm{n}_{21} \) represent the refractive index of medium 1 with respect to medium 2 and refractive index of medium 2 with respect to medium 1, respectively. If \( \mathrm{i} \) and \( \mathrm{r} \) denote the angle of incidence and angle of refraction, then-
a. \( \frac{\sin \mathrm{i}}{\sin \mathrm{r}}=\mathrm{n}_{21}=\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}} \)
b. \( \frac{\sin \mathrm{i}}{\sin \mathrm{r}}=\mathrm{n}_{21}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}} \)
c. \( \frac{\sin \mathrm{i}}{\sin \mathrm{r}}=\mathrm{n}_{12}=\frac{\mathrm{v}_{1}}{\mathrm{v}_{2}} \)
d. \( \frac{\sin \mathrm{i}}{\sin \mathrm{r}}=\mathrm{n}_{12}=\frac{\mathrm{v}_{2}}{\mathrm{v}_{1}} \)
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