JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • 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      

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

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

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

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

    Correct Answer: A

    Solution :

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


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