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Q.

PQR is a right angled prism with other angles as 60° and 30°. Refractive index of prism is 1.5. PQ has a thin layer of liquid. Light falls normally on the face PR. For total internal reflection, maximum refractive index of liquid is: 

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a

1.2

b

1.6

c

1.4

d

1.3

answer is C.

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Detailed Solution

For TIR at PQ θ > C 

From geometry of figure θ = 60 

i.e. 60>C  ⇒ sin 60 > sin C 

⇒    32>μLiquidμPrism ⇒      μLiquid < 32×μPrism ⇒     μLiquid  < 32×1.5  ⇒ μLiquid<1.3

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