JEE Main & Advanced Physics Elasticity Question Bank Graphical Questions

  • question_answer
    The adjacent graph shows the extension \[(\Delta l)\] of a wire of length 1m suspended from the top of a roof at one end with a load W connected to the other end. If the cross sectional area of the wire is \[{{10}^{-6}}{{m}^{2}},\] calculate the young?s modulus of the material of the wire [IIT-JEE (Screening) 2003]

    A)             \[2\times {{10}^{11\,}}N/{{m}^{2}}\]    

    B)             \[2\times {{10}^{-11}}N/{{m}^{2}}\]

    C)             \[3\times {{10}^{-12}}N/{{m}^{2}}\]

    D)               \[2\times {{10}^{-13}}N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

        From the graph \[l={{10}^{-4}}m,\ F=20N\]                                     \[A={{10}^{-6}}{{m}^{2}},\ L=1m\] \ \[Y=\frac{FL}{Al}\]\[=\frac{20\times 1}{{{10}^{-6}}\times {{10}^{-4}}}=20\times {{10}^{10}}=2\times {{10}^{11}}N/{{m}^{2}}\]


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