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JEE Advanced2024PhysicsRay OpticsActual

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 P₁ at an angle of incidence such that the outgoing ray undergoes minimum deviation in prism P₂ . 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 _______ .

Correct answer

0

Step-by-step solution

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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