Question

If the absolute refractive index of glass is 1.5 and that of water is 4/3 fond the refractive index of water with respect to glass

Answer 1

Answer is given below:

Answer 2

Refractive index of water with respect to glass, $n_{wg}=\dfrac{1}{9/8}=\dfrac{8}{9}$

Explanation:

Given that,

The refractive index of water wrt air is, $n_1=1.5$

The refractive index of air wrt water is, $n_2=\dfrac{4}{3}$

We know that the refractive index of air wrt to water is given by the reciprocal of the refractive index of water wrt to air.

 $n_{aw}=\dfrac{1}{(4/3)}=\dfrac{3}{4}$

Refractive index of glass wrt water is = (Refractive index of glass with respect to air) × (refractive index of air with respect to water)

= $\dfrac{3}{2}\times \dfrac{3}{4}=\dfrac{9}{8}$

Refractive index of water with respect to glass, $n_{wg}=\dfrac{1}{9/8}=\dfrac{8}{9}$

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Refractive index

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