A ray of light is incident at `60^(@)` on one face of a prism of angle `30^(@)` and the emergent ray makes `30^(@)` with the incident ray. The refractive index of the prism is

Options

A. `1.732`
B. `1.414`
C. `1.5`
D. `1.33`

Explanation

As, `A+delta=i+e`
`implies 30^(@)+30^(@)=60^(@)+e`
Angle of emergence, `e=60^(@)-60^(@)=0`
`r_(1)=A=30^(@)`
`therefore` Refractive index, `mu=(sini)/(sinr)`
`=(sin60^(@))/(sin30^(@))=sqrt(3)=1.732`