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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2011

  • question_answer
        A material has Poissons 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)  0.2                                        

    D)  zero

    Correct Answer: B

    Solution :

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


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