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Find the volume density of the elastic d...

Find the volume density of the elastic deformation energy in fresh water at the depth of `h=1000m`.

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The energy density is as usual `1//2 stressxxstrai n`. Stress is the pressure `rhogh`. Strain is `betaxxrhogh` by defination of `beta`. Thus
`u=1/2beta(rhogh)^2=23*5kJ//m^3` on putting the values.
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Knowledge Check

  • Find the change in density of water in occean at depth of 700m below the surface. The denity of water at the surface is 1000kg//m^(3) and the bulk modulus of water is 4.9xx10^(9) Nm^(-2)

    A
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    Energy density `=("strain")^(2) xx "volume"`
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    Energy density `=("strain") xx "volume"`
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