If a prism having refractive index `sqrt(2)`, has angle of minimum deviation equal to the angle of refractive of the prism, then the angle of refractive of the prism is :

Options

A. `30^(@)`
B. `45^(@)`
C. `60^(@)`
D. `90^(@)`

Answer

D

Explanation

Put `A=delta_("min")` and `mu=sqrt(2)`
The relation `mu=(sin((A+delta_("min"))/2))/(sin(A/2))` and solve for A