The pressure of a medium is changed from $1.01 \times 10^5 \ Pa$ to $1.165 \times 10^5 \ Pa$ and the change in volume is $10\%$ keeping the temperature constant. The Bulk modulus of the medium is:

$A$ spherical ball of volume $2000 \text{ cm}^3$ is subjected to a hydraulic pressure of $15 \text{ atm}$. If the change in volume is $5 \times 10^{-2} \text{ cm}^3$,the bulk modulus of the material of the spherical ball is (Given: $1 \text{ atm} = 10^5 \text{ Nm}^{-2}$)

$A$ spherical ball contracts in volume by $0.02 \%$, when subjected to a normal uniform pressure of $50 \text{ atm}$. The Bulk modulus of its material is ............. $Nm^{-2}$. (Take $1 \text{ atm} = 1.01 \times 10^5 \text{ Pa}$)

$A$ 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,$B = 8 \times 10^{10} \; Pa$)

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?

The bulk modulus of an ideal gas at constant temperature is: