On a glass plate, a light beam is incident at an angle of `60^(@)`. If the reflected and the refracted rays are mutually perpendicular, the refractive index of glass is

Options

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

Answer

B

Explanation

Since `anglei=60^(@)`, hence angle of reflection `r=60^(@)` and as per question angle of refraction `r.=90^(@)-r=90^(@)-60^(@)=30^(@)`.
`rArr" "n=(sin i)/(sinr.)=(sin 60^(@))/(sin 30^(@))=sqrt3`