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JEE Main & Advanced JEE Main Paper (Held On 09-Jan-2019 Morning)

  • question_answer
    A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion \[a/{}^\circ C\]. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by \[\Delta \] TK. Young?s modulus, Y, for this metal is: [JEE Main Online Paper (Held On 09-Jan-2019 Morning]

    A) \[\frac{F}{A\alpha \Delta T}\]

    B) \[\frac{F}{2A\alpha \Delta T}\]

    C) \[\frac{2\,F}{A\alpha \Delta T}\]

    D) \[\frac{\,F}{A\alpha (\Delta T-273)}\]

    Correct Answer: A

    Solution :

    \[\frac{F}{A}\,\,=\,\,Y\,\,\frac{\Delta \,L}{L}\] \[\frac{F}{A}\,\,=\,\,Y\,\alpha \,\Delta \,T\] \[Y\,=\,\frac{F}{A\,\alpha \,\Delta \,T}\]


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