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NEET Sample Paper NEET Sample Test Paper-87

  • question_answer
    An iron rod of length \[2m\] and cross-sectional area of \[50\,m{{m}^{2}}\] is stretched by \[0.5\,mm,\] when a mass of 250 kg is hung from its lower end. Young's modulus of iron rod is

    A) \[19.6\times {{10}^{20}}N/{{m}^{2}}\]         

    B) \[19.6\times {{10}^{18}}N/{{m}^{2}}\]

    C) \[19.6\times {{10}^{10}}N/{{m}^{2}}\]         

    D) \[19.6\times {{10}^{15}}N/{{m}^{2}}\]

    Correct Answer: C

    Solution :

    [c] \[Y=\frac{F/A}{\Delta \ell /\ell }=\frac{\frac{250\times 10}{50\times {{10}^{-6}}}}{\frac{0.5\times {{10}^{-3}}}{2}}\] \[=\frac{250\times 9.8}{50\times {{10}^{-6}}}\times \frac{2}{0.5\times {{10}^{-3}}}\] \[\Rightarrow \]\[19.6\times {{10}^{10}}N/{{m}^{2}}\]


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