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Q.

Light is incident normally on face AB of a prism as shown in Figure. A liquid of refractive index μ is placed on face AC of the prism. The prism is made of glass of refractive index 3/2. The limit of μ for which total internal reflection takes place at face AC is

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a

μ≥34

b

μ<334

c

μ>3

d

μ<32

answer is B.

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Detailed Solution

Critical angle between glass and liquid face is sinθc=μrμ0=μ3/2=2μ3Angle of incidence at face AC is 600 i.e., i=600 For total internal reflection to take place, i>θc or sini>sinθcOr sin600>2μ3 Or μ<334

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