A ray of light passing through a prism of refraction angle `60^(@)` has to deviate by atleast `30^(@)`. Then, refractive index of prism should be

Options

A. `le sqrt(2)`
B. `ge sqrt(2)`
C. `le sqrt(3)`
D. `le sqrt(3)`

Explanation

Given, `A=60^(@) and delta_(m)=30^(@)`
`therefore` Refractive index of prism, `mu=(sin((A+delta_(m))/(2)))/(sin.(A)/(2))`
`=(sin45^(@))/(sin30^(@))=sqrt(2)`