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Question

A plane light wave travelling with velocity 'v' in a medium A reaches a point on the interface of medium A and medium B. If velocity of sound in medium B is 2v, the angle of incidence for total internal reflection of the wave will be greater than _____. (sin30o=0.5 and sin90o=1)

A
15o
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B
30o
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C
45o
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D
90o
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Solution

The correct option is B 30o
By Snell's law, we have:
μ=sinisinr=v2v=0.5

For, total internal reflection, the angle of incidence has to be greater than that value for which the angle of refraction becomes 90 degrees.
So, μ=sini=0.5i=30°. (Since, sinπ2=1)

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