Question

Calculate the elastic potential energy per unit volume of water at a depth of `1km`. Compressibility (`alpha`) of water `=5xx10^(-10)` SI units. Density of water `=10^(3)kg//m^(3)`

Answer 1

Energy per unit volume
`=(1/2)"Stress"xx"Strain" =(1/2)"Sress"xx"Stress"/K`
`=(1/2)beta("stress")^(2)=(1/2)beta(hrhog)^(2)`
`(1/2)x(5xx10^(-10))xx(1000xx1000xx9.8)^(2)`
`=2.4xx10^(4)J//m^(3)`