Question

A ray of light strikes a glass plate at an angle of 60° with the glass surface. If the reflected and refracted rays are at right angles to each other, find the refractive index of the glass.

Answer 1

angle of refraction=60

angle of incident=30

sin(30)=x*sin(60)

x=√3

where x is refractive index of glass

Answer 2

Answer:

The refractive index of the glass will be 1.732.  

Explanation:

A ray of light strikes a glass plate at an angle of 60° with the glass surface. If the reflected and refracted rays are at right angles to each other.

The angle of refraction =$sin\ 30^{\circ}$

The angle of incidence =$sin\ 60^{\circ}$

The refractive index of the glass will be

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

$n= \dfrac{sin\ 60^{\circ}}{sin\ 30^{\circ}}$

$n= \dfrac{\dfrac{\sqrt{3}}{2}}{\dfrac{1}{2}}$

$n=1.732$

Hence, The refractive index of the glass will be 1.732.