Question

The distance traveled by a ray of light in two media in the same time are in ratio 2:3. Refractive index of first medium with respect to second medium is

Answer 1

1/2/3=3/2....reciprocal of refractive index given

Answer 2

Given that,

The distance traveled by a ray of light in two media in the same time are in ratio 2:3.

To find,

The refractive index of first medium with respect to second medium.

Solution,

A time for ray of light in both media is same. It means the ratio of velocity in of light in two media is :

$\dfrac{v_1}{v_2}=\dfrac{2}{3}$

The refractive index of one medium wrt second is inversly proportional to the speed of light. So,

$\dfrac{n_1}{n_2}=\dfrac{v_2}{v_1}\\\\\dfrac{n_1}{n_2}=\dfrac{3}{2}$

So, the refractive index of first medium with respect to second medium is in the ratio of 3:2.

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Refractive index

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