Question

The refractive index of dimind is 2.4 find the velocity of light in diamondc

Answer 1

Given

refractive index of diamond, n = 2.4

velocity of light in vacuum = 3 × 10^8 m/s

To find

Velocity of light in diamond

Solution

We know that,

refractive index, n = $\rm\frac{velocity \:of \:light\: in\: vacuum}{velocity\: of \:light \:in\: given \:medium}$

Here,

=> n = $\rm\frac{velocity \:of\: light \:in \:vacuum}{velocity \:of\: light \:in \:diamond}$

=> 2.4 = $\rm\frac{3 × 10^8}{velocity \:of \:light\: in\: diamond}$

=> velocity of light in diamond = $\rm\frac{3 × 10^8}{1.25}$

=> velocity of light in diamond = $\rm \fbox{ 1.25 × 10^8 \: m/s }$