For a glass prism `(mu = sqrt(3))` , the angle of minimum deviation is equal to the angle of the prism . Find the angle of the prism .

Explanation

Refractive index of material of prism.
`mu=(sin""((A+D_m)/(2)))/(sin(A/2))`
but `D_m = A`
`therefore mu = sin A /("sin"A/2)`
`= (2 sin""A/2 cos"" A/2)/(sin ""A/2) [ because sin theta = 2 sin"" theta/2cos ""theta/2]`
`therefore sqrt(3) = 2 cos""A/2`
`therefore cos""A/2 = sqrt(3)/(2)`
`therefore A/2 = 30^@`
`therefore A = 60^@`