Q.

The equation of displacement due to a sound wave is s=s0sin2⁡(ωt−kx). If the bulk modulus of the medium is B, then the equation of pressure variation due to that sound is

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a

Bks0sin⁡(2ωt−2kx)

b

−Bks0sin⁡(2ωt−2kx)

c

Bks0cos2⁡(ωt−kx)

d

−Bks0cos2⁡(ωt−kx)

answer is A.

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Detailed Solution

The equation of pressure variation due to sound is p=−Bdsdx=−ddxs0sin2⁡(ωt−kx)=Bks0sin⁡(2ωt−2kx)
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The equation of displacement due to a sound wave is s=s0sin2⁡(ωt−kx). If the bulk modulus of the medium is B, then the equation of pressure variation due to that sound is