The refractive index of glass with respect to air is $\frac{3}{2}$ and refractive index of water with respect to air is $\frac{4}{3}$ . What will be the refractive index of water with respect to glass?
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Refractive index of air, $\mu \text{ air}=1;$ Given; Refractive index of water w.r.t air, $\text{a}\mu\text{w}=\frac{4}{3};$ Refractive index of glass w.r.t air, $\text{a}\mu\text{g}=\frac{3}{2};$ Refractive index of water w.r.t glass $=\text{g}\mu\text{w}=\frac{^\text{a}\mu\text{w}}{^\text{a}\mu\text{g}}=\frac{\frac{4}{3}}{\frac{3}{2}}$$\Rightarrow\text{g}\mu\text{w}=\frac{4\times2}{3\times3}=\frac{8}{9}$
$\therefore$ Refractive index of water w.r.t glass is $\frac{8}{9}.$
$\therefore$ Refractive index of water w.r.t glass is $\frac{8}{9}.$
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