JEE Previous Year Question

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

Topic: JEE PYQ

Answer: 2. Full step-by-step solution below.