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

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

Answer 2

Answer:

The refractive index of the medium is 1.57

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 ;

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

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

n = 1.569

or

n = 1.57

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