The density of a liquid is $$\rho$$ at the surface. The bulk modulus of the liquid is $$B$$. The increase $$\Delta\rho$$ in the density of the liquid at a depth $$h$$ from the surface is, with $$\Delta\rho\ll\rho$$

A

$$\Delta\rho=\frac{\rho^2gh}{B}$$

B

$$\Delta\rho=\frac{\rho gh}{B}$$

C

$$\Delta\rho=\frac{\rho^2gh}{2B}$$

D

$$\Delta\rho=\frac{2\rho^2gh}{B}$$