JCECE Engineering JCECE Engineering Solved Paper-2011

  • question_answer
    Given \[\sigma \] is the compressibility of water, \[p\] 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?

    A) \[\frac{1}{2}\sigma {{(h\rho g)}^{2}}\]                   

    B) \[\frac{1}{2}\sigma (h\rho g)\]

    C)  \[\frac{1}{2}\frac{h\rho g}{\sigma }\]                    

    D)  \[\frac{h\rho g}{\sigma }\]

    Correct Answer: A

    Solution :

    Energy density,\[u=\frac{1}{2}\times \]stress\[\times \]strain                 \[u=\frac{1}{2}\times \]stress\[\text{ }\!\!\times\!\!\text{ }\frac{\text{stress}}{\text{Bulk}\,\,\text{modulus}}\] or            \[u=\frac{1}{2}\times \]compressibility\[\times {{(stress)}^{2}}\] \[\because \]     Stress\[=h\,\,e\,\,g\]


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