Question

i) On entering in a medium from air, the speed of light becomes half of its valu
air. Find the refractive index of that medium with respect to air?​

Answer 1

On entering in a medium from air, the speed of light becomes half of its value in the air. The refractive index of that medium with respect to air is 2

Explanation:

We know that

Refractive Index of a medium  = Velocity of light in vacuum/Velocity of light in medium

let velocity of light in vacuum be c and velocity of light in medium be v' and velocity of light in air be v

Then refractive index of air = velocity of light in vacuum/velocity of light in air = c/v

Similarly,

Refractive index of medium = c/v'

Refractive index of medium w.r.t. air

= Refractive index of medium/Refractive index of air

$=\frac{c/v'}{c/v}$

$=\frac{v}{v'}$

But given that v' = v/2

Therefore,

Refractive index of medium w.r.t. air

$=\frac{2v'}{v'}$

$=2$

Hope this answer is helpful.

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