Question

The refractive index of Medium 3 with respect to
Medium 2 is 1.5 and the refractive index of Medium
2 with respect to Medium 1 is 0.75. Calculate the
refractive index of Medium 3 with respect to Medium
1.​

Answer 1

Answer:

$let \: medium \: 1 \: be \: m1 \\ medium \: 2 \: be \: m2 \\ medium \: 3 \: be \: m3 \\ according \: to \: question \\ \frac{m3}{m2} = 1.5 ....equation(i)\\ \frac{m2}{m1} = 0.75...equation \: (ii) \\ multiply \: (i) \: and \: (ii) \\ \frac{m3}{m2} \times \frac{m2}{m1} = 1.5 \times 0.75 \\ \frac{m3}{m1} = 1.125$