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

  • A
    Equal to its volume $V$
  • B
    Equal to $p/2$
  • C
    Equal to its pressure $p$
  • D
    Cannot be determined

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$A$ sample of a liquid is kept at $1 \ atm$. It is compressed to $5 \ atm$,which leads to a change of volume of $0.8 \ cm^3$. If the bulk modulus of the liquid is $2 \ GPa$,the initial volume of the liquid was . . . . . . litre. (Take $1 \ atm = 10^5 \ Pa$)

What is the density of water at a depth where pressure is $80.0 \; atm$, given that its density at the surface is $1.03 \times 10^{3} \; kg \; m^{-3}$? (Take bulk modulus of water $B = 2.2 \times 10^{9} \; Pa$ or compressibility $45.8 \times 10^{-11} \; Pa^{-1}$)

Explain Shear Modulus and Bulk Modulus.

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The compressibility of water is $6 \times 10^{-10} \ N^{-1} \ m^2$. If one litre is subjected to a pressure of $4 \times 10^7 \ N \ m^{-2}$,the decrease in its volume is (in $cc$):

$A$ copper solid cube of $60\, mm$ side is subjected to a pressure of $2.5 \times 10^7\, Pa$. If the bulk modulus of copper is $1.25 \times 10^{11}\, N/m^2$,the change in the volume of the cube is:

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