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Question

Critical angle for glass is θ1 and that for water is θ2 The critical angle θ at the water glass interface is such that

A
θ<(θ1+θ2)2
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B
θ1=θ2
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C
θ>θ2
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D
θ<θ1
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Solution

The correct option is C θ>θ2
Given - critical angle for glass =θ1
critical angle for water =θ2
critical angle for water glass interface =θ
for glass, the critical angle is
sinθ1=1aμg
for water, the critical angle is
sinθ2=1aμw
as we know aμg>aμw
hence sinθ2>sinθ1
for water glass interface ,the critical angle is
sinθ=1wμg
or sinθ=aμwaμg=sinθ1sinθ2
but sinθ2>sinθ1
therefore sinθ>sinθ2
or θ>θ2

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