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The equation of displacement due to a so...

The equation of displacement due to a sound wave is `s = [s_0sin^2(omegat-kx)]`if the bulk modulus of the medium is `B`, then the equation of pressure variation due to that sound is

A

`Bks_(0) sin(2omegat-2kx)`

B

`-Bks_(0) sin(2omegat-2kx)`

C

`Bks_(0) cos^2(omegat-kx)`

D

`-Bks_(0) cos^2(omegat-kx)`

Text Solution

Verified by Experts

The correct Answer is:
A
The equation of pressure variation due to sound is
`p=-B(ds)/(dx)=-(d)/(dx)[s_0sin^2(omegat-kx)]`
`=Bks_0sin(2omegat-2kx)`
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