- Home
- Standard 11
- Physics
8.Mechanical Properties of Solids
hard
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 ?
A
$\frac{1}{2}\sigma {(h\rho g)^2}$
B
$\frac{1}{2}\sigma {(h\rho g)}$
C
$\frac{1}{2}\frac{{h\rho g}}{\sigma }$
D
$\frac{{h\rho g}}{\sigma }$
Solution
Energy density, $\mathrm{u}=\frac{1}{2}$ stress $\times$ strain
Or $\mathrm{u}=\frac{1}{2} \mathrm{stress} \times \frac{\mathrm{stress}}{\mathrm{Bulk\,mod\,ulus}}$
$\mathrm{O} \mathrm{r}$ $\mathrm{u}=\frac{1}{2} \times \text { compressibility } \times(\text { stress })^{2}$
Standard 11
Physics
