A ray of light undergoes a deviation of `30^@` when incident on an equilateral prism of refractive index `sqrt(2)`.
What is the angle subtended by the ray inside the prism with the base of the prism?

Explanation

The given parameters are `delta=30^@` and `A=60^@`. Let us test whether the prism is in the position of minimum deviation.
`n=(sin((30^@+60^@)/(2)))/(sin((60^@)/(2)))=(sin45^@)/(sin30^@)`
`=(1)/(sqrt(2))xx2=sqrt(2)`
As `n=sqrt(2)`, the ray suffers minimum deviation through the prism. Thus,
`r_(1)=r_(2)=r=(A)/(2)=30^@`
Inside the prism, the ray makes an angle of `60^@` with the face AB, so it is parallel to the base.