The refractive index of prism is = 3 and the ratio of the angle of minimum deviation to the angle of prism is one. The value of angle of prism is _______.

Step-by-step solution

For _ aligned & i = e & r ₁= r ₂= A 2 & _ A =1 & 2 i - A A =1 & & 2 i =2 ~A & i = A aligned Snell's law aligned & 1 i= r & i= ( A 2 ) & A= ( A 2 ) & 2 A 2 A 2 = 3 ( A 2 ) & ( A 2 )= 3 2 & A 2 =30^ & A=60^ aligned