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

  • question_answer
    A material has poisson?s ratio 0.50. If a uniform rod of it suffers a longitudinal strain of \[2\times {{10}^{-3}}\], then the percentage change in volume is

    A) 0.6

    B) 0.4   

    C) 02

    D) Zero

    Correct Answer: B

    Solution :

    [b] \[\frac{dV}{V}=(1+2\sigma )\frac{dL}{L}\] \[\frac{dV}{V}=2\times 2\times {{10}^{-3}}=4\times {{10}^{-3}}\]      \[\left[ \because \sigma =0.5=\frac{1}{2} \right]\] \[\therefore \]Percentage change in volume\[=4\times {{10}^{-1}}\]\[=0.4%\]


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