JEE Main & Advanced Physics Thermometry, Calorimetry & Thermal Expansion JEE PYQ-Thermometry Calorimetry and Thermal Expansion

  • question_answer
    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 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 :

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


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