A ray of light is incident on the surface of a glass plate of refractive index `sqrt(3)` at the polarising angle . The angle of refraction of the ray is

Options

A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `37^(@)`

Answer

A

Explanation

Given
refractive index of glass plate `mu = sqrt(3)`
`mu = tan theta` ,
`sqrt( 3) = tan theta " or " theta= tan ^(-1) sqrty(3)`
refractive index is given as
`mu= (sin I )/( sin r)`
`sqrt(3) sin r = (sqrt(3))/(2) " or " sin r = (1)/(2)`
`r = sin^(-1) ((1)/(2)) rArr r = 30^(@)`
Thus the angle or refraction of the ray is `30^(@)`