If the pressure of a gas is given by $P = P_0 e^{\alpha V}$,what is the bulk modulus?

The density of a metal at normal pressure is $\rho$. When an additional pressure $P$ is applied,its density becomes $\rho'$. If its bulk modulus is $B$,then the ratio $\frac{\rho'}{\rho}$ is:

The density and bulk modulus of a metal bar are $\rho$ and $K$ respectively. When pressure $P$ is applied from all sides to that metal bar,the increase in its density is

What is the pressure required to reduce the given volume of water by $1 \%$? (Bulk modulus $(K) = 2 \times 10^8 \ N m^{-2}$)

If a pressure of $8 \times 10^8 \ N \ m^{-2}$ is applied to a lead block,so that its volume reduces by $20 \%$. The Bulk modulus of the lead block is:

To what depth must a rubber ball be taken in deep sea so that its volume is decreased by $0.1\,\%$. (The bulk modulus of rubber is $9.8 \times 10^8 \, N/m^2$ and the density of sea water is $10^3 \, kg/m^3$.) (in $, m$)