Question

In a liquid with density $900kg/m^3$, longitudinal waves with frequency 250 Hz are found to have wavelength 8.0 m. Calculate the bulk modulus of the liquid. (in 10 to the power of 9 Pascals)

Answer 1

Given- $f=250Hz,\rho =900kg/m^3,\lambda =8.0m$ ,

by $v=f\lambda$ , (v=velocity of wave)

$v=250\times 8.0=2000m/s$ ,

now velocity of a longitudinal wave in a medium is given by ,

$v=\sqrt{K/\rho }$ ,

or $K=v^2\rho$ ,

or $K={2000}^2/900=4440Pa$