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WB JEE Medical WB JEE Medical Solved Paper-2014

  • question_answer
    A metal rod is fixed rigidly at two ends so as to prevent its thermal expansion. If \[L,\alpha \]and Y respectively denote the length of the rod, coefficient of linear thermal expansion and Youngs modulus of its material, then for an increase in temperature of the rod by \[\Delta T,\]the longitudinal stress developed in the rod is

    A)  inversely proportional to \[\alpha \]

    B)  inversely proportional to \[\gamma \]

    C)  directly proportional to \[\Delta T/\gamma \]

    D)  independent of L

    Correct Answer: C

    Solution :

     Strain \[=\alpha .\Delta T\] Stress \[Y\propto \Delta \Tau \] where L = length of the rod \[\alpha =\]coefficient of linear thermal expansion \[Y=\]Youngs modulus of its material So, the longitudinal stress developed in the rod is directly proportional to\[\frac{\Delta T}{Y}.\]


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