The pressure required to decrease the volume of $4000 \ cc$ water by $0.05 \%$ is (Bulk modulus of water $= 2.2 \times 10^9 \ N/m^2$)

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 $= 140 \times 10^9\, N/m^2$.

The approximate depth of an ocean is $2700 \, m$. The compressibility of water is $45.4 \times 10^{-11} \, Pa^{-1}$ and the density of water is $10^3 \, kg/m^3$. What fractional compression of water will be obtained at the bottom of the ocean?

Explain why solids are the least compressible and gases are the most compressible based on the bulk modulus.

The compressibility of water is $6 \times 10^{-10} \,m^{2}/N$. If one litre of water is subjected to a pressure of $4 \times 10^{7} \,N/m^{2}$, then the decrease in its volume in millilitre will be

The isothermal bulk modulus of a perfect gas at normal pressure is