JEE Main & Advanced Physics Elasticity Question Bank Youngs Modulus and Breaking Stress

  • 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                                  [EAMCET 1987]

    A) 0.6         

    B)                 0.4

    C)                 0.2         

    D)                 Zero

    Correct Answer: B

    Solution :

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


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