The increase in pressure required to decrease the $200\,L$ volume of a liquid by $0.004\%$ in a container is ............ $kPa$. (Bulk modulus of the liquid $= 2100\,MPa$)

$A$ spherical ball contracts in volume by $0.02 \%$,when subjected to a normal uniform pressure of $50$ atmosphere. The Bulk modulus of its material is ............... $N / m^2$.

The compressibility of water is $5 \times 10^{-10} \ m^2/N$. $A$ pressure of $15 \times 10^6 \ Pa$ is applied on $100 \ ml$ volume of water. The change in the volume of water is:

How much pressure (in atm) is needed to compress a sample of water by $0.4 \%$ (in $\text{ atm}$)? (Assume, Bulk modulus of water $\approx 2.0 \times 10^9 \text{ Pa}$)

The average density of Earth's crust $10 \ km$ beneath the surface is $2.7 \ g/cm^3$. The speed of longitudinal seismic waves at that depth is $5.4 \ km/s$. The bulk modulus of Earth's crust,considering its behavior as a fluid at that depth,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