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KVPY Sample Paper KVPY Stream-SX Model Paper-1

  • question_answer
    A uniform metal rod (fixed at both ends) of \[2\,\,m{{m}^{2}}\]cross-section is cooled from \[40{}^\circ C\] to \[20{}^\circ C.\] The co-efficient of the linear expansion of the rod is \[12\times {{10}^{-\,6}}\] per degree & it's young modulus of elasticity is \[{{10}^{11}}\,N/{{m}^{2}}.\] The energy stored per unit volume of the rod is:

    A) \[2880\,J/{{m}^{3}}\]             

    B) \[1500\,J/{{m}^{3}}\]

    C) \[5760\,J/{{m}^{3}}\]             

    D) \[1440\,J/{{m}^{3}}\]

    Correct Answer: A

    Solution :

    Energy Density \[=\frac{1}{2}\] strees \[\times \]\[=\frac{1}{2}Y{{(strain)}^{2}}=2880\,j/{{m}^{3}}\]


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