If average depth of an ocean is 4000 m and the bulk modulus of water is 2 × 10^9 Nm^-2, then fractional compression (Δ V)/V of water at the bottom of…

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