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 ............. $g/cc$.

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 $, m$)

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

The volume of a material reduces by $2 \%$ when the pressure is increased from $1 \text{ atm}$ to $2 \text{ atm}$. What is its bulk modulus?

$A$ solid sphere of radius $R$ made of a material of bulk modulus $K$ is surrounded by a liquid in a cylindrical container. $A$ massless piston of area $A$ floats on the surface of the liquid. When a mass $m$ is placed on the piston to compress the liquid,the fractional change in the radius of the sphere $\delta R/R$ is

$A$ certain pressure $P$ is applied to $1 \text{ litre}$ of water and $2 \text{ litre}$ of a liquid separately. Water gets compressed to $0.01 \%$ whereas the liquid gets compressed to $0.03 \%$. The ratio of Bulk modulus of water to that of the liquid is $\frac{3}{x}$. The value of $x$ is $...........$