Given : $\sigma$ is the compressibility of water, $\rho$ is the density of water and $K$ is the bulk modulus of water. What is the energy density of water at the bottom of a lake $‘h’$ metre deep ?
Diffcult
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Energy density, $\mathrm{u}=\frac{1}{2}$ stress $\times$ strain
Or $\mathrm{u}=\frac{1}{2} \mathrm{stress} \times \frac{\mathrm{stress}}{\mathrm{Bulk\,mod\,ulus}}$
$\mathrm{O} \mathrm{r}$ $\mathrm{u}=\frac{1}{2} \times \text { compressibility } \times(\text { stress })^{2}$
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