A ray of light strikes a material's slab at an angle of incidence `60^(@)`. If the reflected and refracted rays are perpendicular to each other, the refractive index of the material is

Options

A. `(1)/(sqrt(3))`
B. `(1)/(sqrt(2))`
C. `sqrt2`
D. `sqrt3`

Answer

D

Explanation

The reflected and refracted rays are mutually perpendicular when the light ray is incident on glass slab at an incidence angle equal to polarising angle `i_(p)=60^(@)`. Thus, refracrtive index of slab.s material `n=tani_(p)=tan60^(@)=sqrt3`.