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JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    A thick rope of density \[\rho \]and length L is hung from a rigid support. The Young's modulus of the material of rope is Y. The increase in length of the rope due to its own weight is

    A) \[(1/4)\rho g{{L}^{2}}/Y\]

    B) \[(1/2)\rho g{{L}^{2}}/Y\]

    C) \[\rho g{{L}^{2}}/Y\]

    D) \[\rho gL/Y\]

    Correct Answer: B

    Solution :

    [b] \[\Delta \ell =\frac{F(L/2)}{AY}=\frac{(AL\rho g)(L/2)}{AY}\] \[=\left( \frac{1}{2} \right)\rho g{{L}^{2}}/Y\]


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