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Question

A right angled prism of refractive index μ1 is placed in a rectangular block of refractive index μ2, which is surrounded by a medium of refractive index μ3, as shown in the figure. A ray of light e' enters the 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 answer using the codes given below the lists:

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Solution

A. (2) ; B. (3) ;
C. (4) ; D. (1)

A. μ2>μ1 (towards normal)
μ2>μ3 (away from normal)
B. μ1=μ2 (No change in path)
i=0=>r=0 on the block.
C. μ1>μ2 (Away from the normal)
μ2>μ3 (Away from the normal)
μ1×12=μ2 sinr sinr=μ12μ2 Since sinr
<1=>μ1<2μ2
D. For TIR:
450>C=>sin450>sinC=>12>μ2μ1=>μ1>2μ2


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