Question

if the refractive index of water with respect to air is 5/3 then calculate the refractive index of air with respect to water

Answer 1

3/5

refractive index of water with respect to air=1/refractive index of air with respect to water

Answer 2

The refractive index of air with respect to water is equal to 3/5.

Explanation:

It is given that, the refractive index of water with respect to air is 5/3. We need to find the refractive index of air with respect to water. Let it is equal to n. We know that the refractive index of one medium wrt to other is reciprocal of the refractive index of other medium wrt to first such that,

$n_{12}=\dfrac{1}{n_{21}}$

$n_{12}=\dfrac{1}{\dfrac{5}{3}}$

$n_{12}=\dfrac{3}{5}$

So, the refractive index of air with respect to water is equal to 3/5. Hence, this is the required solution.

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