The angle of incidence for a ray of light at a refracting surface of a prism is `45^(@)`. The angle of prism is `60^(@)`. If the ray suffers minimum deviation through the prism, the angle of minimum deviation and refractive index of the material of the prism respectively, are `:`

Options

A. `45^(@),1/(sqrt(2))`
B. `30^(@),sqrt(2)`
C. `45^(@),sqrt(2)`
D. `30^(@),1/(sqrt(2))`

Answer

B

Explanation

`S_(mix)=(i+i)-A`
`=(45+45)-60=30^(@)`
`mu=(sin((A+delta_(m))/2))/(sin(A/2))=(sin45^(@))/(sin30^(@))=sqrt(2)`