When a rubber ball is taken to the bottom of a sea of depth $1400 \,m$,its volume decreases by $2 \%$. The Bulk modulus of the rubber ball is .................. $\times 10^8 \,N/m^2$ [density of water is $1 \,g/cc$ and $g=10 \,m/s^2$].

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

The ratio of hydraulic stress to the corresponding strain is known as:

Calculate the stress developed inside a tooth cavity filled with copper when hot tea at a temperature of $57\,^{\circ}C$ is drunk. You can take the body (tooth) temperature to be $37\,^{\circ}C$ and $\alpha = 1.7 \times 10^{-5}/^{\circ}C$,bulk modulus for copper $= 140 \times 10^9\, N/m^2$.

$A$ copper solid cube of $60\, mm$ side is subjected to a pressure of $2.5 \times 10^7\, Pa$. If the bulk modulus of copper is $1.25 \times 10^{11}\, N/m^2$,the change in the volume of the cube 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