The refracting angle of a prism is 'A' and its refractive index is ( A 2 ) . The minimum deviation produced by the prism is

Step-by-step solution

The refractive index of a prism is given by the formula: = ( A + _m 2 ) ( A 2 ) Given that = ( A 2 ) , we can write: ( A 2 ) = ( A 2 ) ( A 2 ) Equating the two expressions for : ( A + _m 2 ) ( A 2 ) = ( A 2 ) ( A 2 ) ( A + _m 2 ) = ( A 2 ) Using the trigonometric identity ( ) = (90^ - ) , we get: ( A + _m 2 ) = (90^ - A 2 ) Equating the angles: A + _m 2 = 90^ - A 2 A + _m = 180^ - A _m = 180^ - 2A Answer: (180)^ - 2A