Question

What is the refractive index of a medium when the light strikes the medium after traveling through air at an angle of 23.3° and the refracted angle is 14.6°?

Answer 1

n = sin23.3 / sin14.6 = 1.57

Answer 2

Answer : Refractive index, n = 1.57

Explanation :

It is given that,

The refractive index of a medium when the light strikes the medium after traveling through air at an angle of 23.3° and the refracted angle is 14.6°.

Incident angle, $\angle i=23.3^0$

Reflected angle,  $\angle r=14.6^0$

The refractive index of a medium is given by using Snell's law :

$n=\dfrac{sin\ i}{sin\ r}$

$n=\dfrac{sin(23.3)}{sin(14.6)}$

$n=1.57$

So, the refractive index of the medium is 1.57

Hence, this is the required solution.