Physics > Properties Of Bulk Matter > Mechanical Properties Of Solids

If average depth of an ocean is 4000 m and the bulk modulus of water is $2 \times 10^9\ \text{Nm}^{-2}$, then fractional compression $\dfrac{\Delta V}{V}$ of water at the bottom of the ocean is $\alpha \times 10^{-2}$. The value of $\alpha$ is ______ . (Given, $g = 10\ \text{ms}^{-2}$, $\rho = 1000\ \text{kg m}^{-3}$)