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The equation of displacement due to a so...

The equation of displacement due to a sound wave is s=`s_0`sin^(2)((wt-kx)). if the bulk modulus of the medium is `B`, then the equation of pressure variation due to that sound is

A

`B k s_(0) sin(2 omega t-2 k x)`

B

`-B k s_(0) sin(2 omega t-2 k x)`

C

`B k s_(0)cos^(2) ( omegat-kx)`

D

`-B k s_(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)=-B(d)/(dx)[s_(0)sin^(2)(omegat-kx)]`
`=Bks_(0)sin (2 omegat-2kx)`
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