If the Bulk modulus of lead is $8.0 \times 10^9 \, N/m^2$ and the initial density of the lead is $11.4 \, g/cc$,then under the pressure of $2.0 \times 10^8 \, N/m^2$,the density of the lead is ............. $g/cc$.

$A$ sample of a liquid is kept at $1 \ atm$. It is compressed to $5 \ atm$,which leads to a change of volume of $0.8 \ cm^3$. If the bulk modulus of the liquid is $2 \ GPa$,the initial volume of the liquid was . . . . . . litre. (Take $1 \ atm = 10^5 \ Pa$)

An object is taken $1.0 \, km$ deep in the sea. The density of sea water is $1.025 \times 10^3 \, kg/m^3$ and the bulk modulus of the object is $1.6 \times 10^6 \, kPa$. Find the percentage change in the density of the object.

The average depth of an oil well is $2000 \, m$. If the bulk modulus of oil is $8 \times 10^8 \, N/m^2$ and the density of oil is $1500 \, kg/m^3$, the fractional compression at the bottom of the well is (take $g = 10 \, m/s^2$): (in $\%$)

The normal density of a material is $\rho$ and its bulk modulus of elasticity is $K$. The magnitude of increase in density of the material,when a pressure $P$ is applied uniformly on all sides,will be

Under isothermal condition,the pressure of a gas is given by $P = aV^{-3}$,where $a$ is a constant and $V$ is the volume of the gas. The bulk modulus at constant temperature is equal to $..........\,P$.