A right angled prism of refractive index μ1 is placed in a rectangular block of refractive inde

Question

A right angled prism of refractive index μ₁ is placed in a rectangular block of refractive index μ₂, whichis surrounded by a medium of refractive index μ₃, as shown in the figure. A ray of light ′e′ entersthe rectangular block at normal incidence. Depending upon the relationships between μ₁, μ₂, and μ₃,it takes one of the four possible paths ′ef′, ′eg′, ′eh′ or ′ei′.

Match the paths in List I with conditions of refractive indices in List II and select the correct answerusing the codes given below the lists :

Accepted Answer

(P) at prism surface ray moving towards normal so (μ₂ > μ₁)
    at block surface ray moving away from normal so (μ₃ < μ₂)
(Q) No deflection of ray on both surface so μ₁ = μ₂ = μ₃
(R) At prism surface ray moving away from normal so μ₂ < μ₁.
    At block surface ray moving away from normal so μ₃ < μ₂
    but since no total internal reflection takes place on prism surface
            μ₁ sin 45 < μ₂ sin 90
            μ₁ < μ₂ √2
(S) Total internal reflection takes place so.
            μ₁ sin 45 > μ₂ sin 90
            μ₁ > μ₂ √2

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