Consider a wave rpresented by `y= a cos^(2) (omega t-kx)` where symbols have their usual meanings. This wave has

Options

A. Bak
B. `B(A//k)^(1//2)`
C. B
D. `B(Ak)^(1//2)`

Answer

C

Explanation

Here `y(x,t)=Asin(kx-omegat) therefore (dely)/(delx)=kAcos(kx-omegat)`
Now use the expression `DeltaP=-B(dely)/(delx)` where B is the bulk modulus This gives an expression for the pressure change
`DeltaP=-BAkcos(kx-omegat)`
Pressure amplitude, `P_(0)=BAk`
Also, `DeltaP=-BAksin[(kx-omegat)-(pi)/(2)]`
also indicates a phase lag of `(pi)/(2)` with respect to displacement.