Question

The refractive index of water w. R. P a is a 4 by 3 find the refractive index of air w. R. T water

Answer 1

✴ Correct Question :

✏ The refractive index of water wrt air is 4/3. Find the refractive index of air wrt water.

✴ Solution :

Given :

☞ Refractive index of water wrt air = 4/3

To Find :

☞ Refractive index of air wrt water.

Concept :

☞ Refractive index of a medium is defined as the ratio of velocity of light in the vaccum to the velocity of light in the medium.

☞ Refractive index of medium A wrt medium B is given by

$\boxed{\bf{\orange{n_{AB}=\dfrac{n_A}{n_B}}}}$

☞ Refractive index is an unitless as well as dimensionless quantity.

Calculation :

$\implies\sf\:n_{wa}=\dfrac{n_w}{n_a}=\dfrac{4}{3}\\ \\ \implies\sf\:n_{aw}=\dfrac{1}{n_{wa}}=\dfrac{1}{\frac{4}{3}}\\ \\ \implies\boxed{\bf{\purple{n_{aw}=\dfrac{3}{4}}}}$