The refractive indices of glass and water with respect to air are 3/2 and 4/3, respectively. If speed of light in glass is 2x108m/s, find the speed of light  in water.

Given: The refractive indices of glass and water with respect to air are 3/2 and 4/3, respectively. Speed of light in glass is 2x108m/s

To find:  the speed of light in water.

Solution:

Refractive index of glass, $n_{g}=\frac{\text { Speed of light in vacuum }}{\text { Speed of light in glass }}$

$\frac{4}{3}=\frac{\text { Speed of light in vacuum }}{2 \times 10^{8}}$

So we get, speed of light in vacuum $=2.6 \times 10^{8} \mathrm{m} / \mathrm{s}$

Refractive index ofwater, $n_{w}=\frac{\text { Speed of light in vacuum }}{\text { Speed of light in water }}$

$\frac{3}{2}=\frac{2.6 \times 10^{8}}{\text { Speed of light in water }}$

So we get, speed of light in water $=1.73 \times 10^{8} \mathrm{m} / \mathrm{s}$
 

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

204 Views

Related Articles

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements