The increase in pressure required to decrease the $200 \, L$ volume of a liquid by $0.008 \, \%$ in $kPa$ is (Bulk modulus of the liquid $= 2100 \, MPa$)

An object is located at $2 \, km$ beneath the surface of the water. If the fractional compression $\frac{\Delta V}{V}$ is $1.36 \, \%$,the ratio of hydraulic stress to the corresponding hydraulic strain will be ......... . [Given: density of water is $1000 \, kg \, m^{-3}$ and $g = 9.8 \, m \, s^{-2}$.]

The average depth of the Indian Ocean is about $3000 \,m$. The value of fractional compression $\left(\frac{\Delta V}{V}\right)$ of water at the bottom of the ocean is (given that the bulk modulus of water is $2.2 \times 10^9 \,N/m^2$,$g = 9.8 \,m/s^2$,$\rho_{H_2O} = 1000 \,kg/m^3$):

When a sphere is taken to the bottom of a sea of depth $1 \ km$,it contracts in volume by $0.01 \%$. The bulk modulus of the material of the sphere is (Acceleration due to gravity $= 10 \ m \ s^{-2}$,density of sea water $= 10^3 \ kg \ m^{-3}$)

The bulk moduli of ethanol,mercury,and water are given as $0.9$,$25$,and $2.2$ respectively in units of $10^9 \, Nm^{-2}$. For a given value of pressure,the fractional compression in volume is $\frac{\Delta V}{V}$. Which of the following statements about $\frac{\Delta V}{V}$ for these three liquids is correct?

$A$ 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 $...........$