what is maximum refractive index to get an emergent ray from an equilateral prism. Share with your friends Share 1 Ved Prakash Lakhera answered this We know that in case of refraction through an equilateral prism: μ = sin60°+∂2sin60°2=sin30°+∂2sin30°or μ2=sin30°+∂2Differentiating above eqn with respect to ∂, we get: 12 dμd∂=cos30°+∂2×12In order to have maximum refractive index dμd∂=0Therefore cos30°+∂2=0=cosπ2or 30°+∂2=π2or ∂/2 =π/2-30°=60°Therefore μ =sin30°+∂2sin30°=sin30°+60°sin30°==sin90°sin30°or μ = 11/2=2So the maximum refractive index of the prism must be 2 to have emaergent ray through the prism. 4 View Full Answer Mihir answered this 1/root 3 4 Sourabh Jain answered this Maximum index is 2 1
