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Q.
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
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}$
$\therefore _w \mu _g = \frac{\bigg(\frac{3}{2}\bigg)}{\bigg(\frac{4}{3}\bigg)}=\frac{9}{8}$