Angle of minimum deviation is equal to the half of the angle of prism in an equilateral prism. The refractive index of the prism is __________.

Step-by-step solution

For an equilateral prism, the angle of the prism is A = 60^ . Given that the angle of minimum deviation is half of the angle of the prism: _ m = A 2 = 60^ 2 = 30^ The refractive index of the prism is given by: = ( A + _ m 2 ) ( A 2 ) Substituting the values of A and _ m : = ( 60^ + 30^ 2 ) ( 60^ 2 ) = (45^ ) (30^ ) = 1 2 1 2 = 2 Answer: 2