If a brass sphere of radius $36 \ cm$ is submerged in a lake at a depth where the pressure is $10^7 \ Pa$,then the change in the radius of the sphere is $($Bulk modulus of brass $= 60 \ GPa)$.

  • A
    $4 \times 10^{-2} \ cm$
  • B
    $2 \times 10^{-3} \ cm$
  • C
    $4 \times 10^{-3} \ cm$
  • D
    $2 \times 10^{-2} \ cm$

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$A$ swimming pool has a depth of $22 \ m$ and area $700 \ m^2$. Calculate the fractional change $\frac{\Delta V}{V}$ of water at the bottom of the swimming pool. Given that the bulk modulus of water is $2.2 \times 10^9 \ N \ m^{-2}$,$g = 10 \ m \ s^{-2}$,and the density of water is $1000 \ kg \ m^{-3}$.

Given: $\sigma$ is the compressibility of water,$\rho$ is the density of water,and $K$ is the bulk modulus of water. What is the energy density of water at the bottom of a lake $h$ metre deep?

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The compressibility of water per unit atmospheric pressure is $\sigma$. If there is a decrease in volume $V$ due to an applied pressure $P$,find the change in volume.

Which type of elastic modulus is there in liquids and gases?

The only elastic modulus that applies to fluids is

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