A ray of light strikes a glass plate at an angle of `40^(@)`. If the reflected and refracted rays are perpendicular to each other the index of refractive of glass is

Options

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

Answer

D

Explanation

As reflected and refracted rays are perpendicular to each other, therefore, `i_(p)=i=60^(@)`
`mu=tani_(p)=tan60^(@)=sqrt(3)`