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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)μ1×1√2=μ2 sinr ⇒sinr=μ1√2μ2 Since sinr <1=>μ1<√2μ2D. For TIR:450>C=>sin450>sinC=>1√2>μ2μ1=>μ1>√2μ2

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