Question

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)`

Answer 1

Correct Answer - 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)`