If the bulk modulus of water is $2 \times 10^9 \ N/m^2$,then the required pressure to reduce the given volume of water by $2 \%$ is

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?

If the average depth of an ocean is $4000 \ m$ and the bulk modulus of water is $2 \times 10^9 \ N m^{-2}$,then the fractional compression $\frac{\Delta V}{V}$ of water at the bottom of the ocean is $\alpha \times 10^{-2}$. The value of $\alpha$ is . . . . . . (Given,$g=10 \ m s^{-2}, \rho=1000 \ kg m^{-3}$)

$A$ cube of metal is subjected to a hydrostatic pressure of $4 \; GPa$. The percentage change in the length of the side of the cube is close to $.......\%$. (Given bulk modulus of metal,$B = 8 \times 10^{10} \; Pa$)

When a pressure of $100$ atmosphere is applied on a spherical ball,its volume reduces by $0.01\%$. The bulk modulus of the material of the ball in $dyne/cm^2$ is:

If a rubber ball is taken to a depth of $200 \ m$ in a pool,its volume decreases by $0.1 \%$. If the density of the water is $1 \times 10^3 \ kg/m^3$ and $g = 10 \ m/s^2$,then the bulk modulus (volume elasticity) in $N/m^2$ will be: