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°?

1.33
1.36
1.44
1.57
1.91

Answer 1

The refractive index of the medium is 1.57

Step-by-step explanation:

It is given that,

Angle at which the light strikes the medium after travelling through air, i = 23.3°

Angle at which the light ray is refracted, r = 14.6°

Snell's law gives the relation between the angle of incidence, angle of refraction and refractive index. Mathematically, it is given by ;

`n=(sin\ i)/(sin\ r)`

`n=(sin(23.3))/(sin(14.6))`

n = 1.569

or

n = 1.57

So, the refractive index of the medium is 1.57. Hence, this is the required solution.

Answer 2

Refractive index is the relationship between the velocity of light in a medium and its velocity in a specified medium. It is determined by sin θ (air) / sin θ (medium)

Refractive index = sin θ (air) / sin θ (medium)

= sin 23.3 / sin 14.6

= 1.57