An equiangular glass prism of refractive index 1.6 is kept fully immersed in water of refractive index 4 / 3 , for a certain ray of monochromatic light. What is the closest value for the angle of minimum deviation of the light ray in this setup? (Take, 37^ =0.6 )

Step-by-step solution

For equiangular glass prism, A=60^ Refractive index of prism, _ p =1.6 Refractive index of water, _ v = 4 3 We know that, = ( A+ _ m 2 ) A / 2 _ p _ w = ( 60+ _ m 2 ) 60 / 2 1.6 4 / 3 = ( 60+ _ m 2 ) 30^ ( A+ _ m 2 )= 1.6 3 4 30^ ( A+ _ m 2 )=0.6 A+ _ m 2 = 37^ [ 37=0.6] aligned & & A+ _ m 2 &=37^ & & 60+ _ m &=2 37=74^ & _ m &=74-60=14^ aligned