A glass prism has a refracting angle of 90^ . It is observed that the angle of minimum deviation for a certain monochromatic light is equal to the refracting angle of the prism. The refractive index of the material of the prism is:

Step-by-step solution

The formula for the refractive index of a prism in the position of minimum deviation is given by: = ( A+ _ m 2 ) ( A 2 ) Given that the refracting angle A = 90^ and the angle of minimum deviation _ m = A = 90^ . Substituting these values into the formula: = ( 90^ +90^ 2 ) ( 90^ 2 ) = (90^ ) (45^ ) Since (90^ ) = 1 and (45^ ) = 1 2 : = 1 1 2 = 2 Answer: 2