Question

The refractive indices of glass and water with respect to air are $\frac{3}{2}$ and $\frac{4}{3}$ respectively. Then the refractive index of glass with respect to water is

• A. $\frac{8}{9}$
• B. $\frac{9}{8}$
• C. $\frac{7}{6}$
• D. 2

Answer 1

Answer: (B)

$\frac{9}{8}$

Answer 2

Refractive index of glass with respect to air $_a \mu _g = \frac{3}{2}$ Refractive index of water with respect to air $_a \mu _w = \frac{4}{3}$ Refractive index of glass with respect to water $_w \mu _g = \frac{_a \mu _g}{_a \mu _w}$ $\therefore _w \mu _g = \frac{\bigg(\frac{3}{2}\bigg)}{\bigg(\frac{4}{3}\bigg)}=\frac{9}{8}$