The angle of minimum deviation measured with a prism is `30^(@)` and the angle of prism is `60^(@)`. The refractive index of prism material is

Options

A. `sqrt(2)`
B. 2
C. `3//2`
D. `4//3`

Answer

A

Explanation

`delta_(m) = 30^(@) , A = 60^(@)`
`n = (sin( (A+ delta_(m))/(2) ) )/(sin (A//2)) = (sin 45^(@))/(sin 30^(@)) = sqrt(2)` .