Two equilateral-triangular prisms P _1 and P _2 are kept with their sides parallel to each other, in vacuum, as shown in the figure. A light ray enters prism P_1 at an angle of incidence such that the outgoing ray undergoes minimum deviation in prism P_2. If the respective refractive indices of P _1

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Two equilateral-triangular prisms P _1 and P _2 are kept with their sides parallel to each other, in vacuum, as shown in the figure. A light ray enters prism P_1 at an angle of incidence such that the outgoing ray undergoes minimum deviation in prism P_2. If the respective refractive indices of P _1 and P _2 are 3 2 and 3 , then = ^ -1 [ 3 2 ( ) ], where the value of is _______ .

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Correct answer: A. A

At surface BC aligned & 3 2 r _2= 3 30 \ & 3 2 r _2= 3 2 \ & sinr _2= 1 2 \ & r _2=45^ \ & r _1=60^ -45^ =15^ aligned At surface A B array ll 1 = 3 2 15^ \ = ^ -1 [ 3 2 12 ] \ =12 array

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