The refractive index of water is $4/3$ and for glass is $3/2$ with respect to air. The refractive index of glass with respect to water is

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1/2

4/3

9/8

7/8

answer is D.

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Detailed Solution

_{w} μ_{g} = \frac{μ_{g}}{μ_{w}}

Given that $_{a} μ_{g} = 3/2_{a} μ_{w} = 4/3$

$_{a} μ_{g} = \frac{μ_{g}}{μ_{a}} = \frac{3}{2} \Rightarrow_{a} μ_{w} = \frac{μ_{w}}{μ_{a}} = \frac{4}{3}$

$\Rightarrow_{w} μ_{g} = \frac{\frac{μ_{g}}{μ_{a}}}{\frac{μ_{w}}{μ_{a}}} = \frac{\frac{3}{2}}{\frac{4}{3}} = \frac{3}{2} \times \frac{3}{4} = \frac{9}{8}$

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