A plane wave of sound traveling in air is inc | vedclass

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(C) Given,speed of sound in air $v_{air} = 300 \, m/s$ and speed of sound in liquid $v_{liq} = 600 \, m/s.$Since $v_{liq} > v_{air},$ the liquid acts

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The wave will reflect back into air

Vedclass · Answer

(C) Given,speed of sound in air $v_{air} = 300 \, m/s$ and speed of sound in liquid $v_{liq} = 600 \, m/s.$Since $v_{liq} > v_{air},$ the liquid acts as a rarer medium for sound waves compared to air.The critical angle $i_c$ is given by $\sin(i_c) = \frac{v_{air}}{v_{liq}} = \frac{300}{600} = \frac{1}{2}.$Therefore,$i_c = \sin^{-1}(1/2) = 30^{\circ}.$The angle of incidence $i = 60^{\circ}.$ Since the angle of incidence is greater than the critical angle $(i > i_c)$,the sound wave will undergo total internal reflection and reflect back into the air.

$A$ plane wave of sound traveling in air is incident upon a plane surface of a liquid. The angle of incidence is $60^{\circ}.$ The speed of sound in air is $300 \, m/s$ and in the liquid it is $600 \, m/s.$ Assume Snell's law to be valid for sound waves.

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