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  4. The refractive indices of glass and quartz w.r.t. air are 3 / 2 and 12 / 5 respectively. The refractive index of quartz w.r.t. glass is

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Q. The refractive indices of glass and quartz w.r.t. air are $3 / 2$ and $12 / 5$ respectively. The refractive index of quartz w.r.t. glass is

WBJEEWBJEE 2008Ray Optics and Optical Instruments

Solution:

Given that, ${ }^{a} \mu_{g}=\frac{3}{2}$
and ${ }^{a} \mu_{q}=\frac{12}{5}$
So, we get
$\therefore { }^{g} \mu_{q} =\frac{\mu_{q}}{\mu_{a}} \cdot \frac{\mu_{a}}{\mu_{g}}=\frac{\mu_{q}}{\mu_{g}}$
$=\frac{12}{5} \times \frac{2}{3}=\frac{8}{5}$