MGIMS WARDHA MGIMS WARDHA Solved Paper-2009

  • question_answer
    A metallic rod of Young's  modulus \[2\times {{10}^{11}}N/{{m}^{2}}\]undergoes a strain of 0.5%. Then the energy stored per unit volume in the rod will be

    A)  \[2.5\times {{10}^{-5}}J/{{m}^{3}}\]      

    B)  \[5.0\times {{10}^{8}}J/{{m}^{3}}\]

    C) \[2.5\times {{10}^{-8}}J/{{m}^{3}}\]       

    D)  \[0.5\times {{10}^{11}}J/{{m}^{3}}\]

    Correct Answer: A

    Solution :

                     Energy stored per unit volume \[=\frac{1}{2}\times Y\times {{(strain)}^{2}}\] \[=\frac{1}{2}\times 2\times {{10}^{11}}\times {{\left( \frac{0.5}{100} \right)}^{2}}=2.5\times {{10}^{6}}J/{{m}^{3}}\]


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