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Light is incident normally on face A B of a prism as shown in figure. A liquid of refractive index µ is placed on face A C of the prism. the prism is made of glass of refractive index 3/2.

The limits of µ for which total internal reflection takes place on face AC is

a
μ>34
b
μ<334
c
μ>3
d
μ<32

detailed solution

Correct option is C

Critical angle between glass and liquid face issinθc=3/2μ=32μ  .  .  .  .  .  .  .  1angle   of   incidence   at   face   AC   is  60o   i.e.,   i=60oFor    total   internal   reflection   to   take   placeor      sin  i>sinθcor     sin60o>32μor     32>32μor     μ>3

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