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

  • question_answer
    An iron rod of length 2m and cross section area of \[50\,m{{m}^{2}}\], stretched by 0.5 mm, when a mass of 250 kg is hung from its lower end. Young's modulus of the iron rod is                                                                 [AFMC 1999]

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

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

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

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

    Correct Answer: A

    Solution :

        \[Y=\frac{MgL}{Al}=\frac{250\times 9.8\times 2}{50\times {{10}^{-6}}\times 0.5\times {{10}^{-3}}}\]                 \[=19.6\times {{10}^{10}}N/{{m}^{2}}\]


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