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Q.

A, B and C are three optical media of respective critical angles C1, C2, and C3. Total internal reflection of light can occur from A to B and also from B to C but not from C to A. Then the correct relation between critical angles is

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a

C1 > C2 > C3

b

C1 < C2 < C3

c

C3 > C1 > C2

d

C1 = C2 = C3

answer is D.

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Detailed Solution

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As total internal reflection takes place from A to B

{\mu _A}\, > \,{\mu _B} - - - (1)

similarly

{\mu _B}\, > \,{\mu _C} - - - (2)

But as total internal reflection cant take place from C to A

μC<μA  ---3

From (1) and (2) and (3)

 

{\mu _A}\, > \,{\mu _B}\, > {\mu _C}

  sin c=1μ

                  so 

{C_3} > {C_2} > \,{C_1}
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