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

  • question_answer
    The length of a wire is 1.0 m and the area of cross-section is \[1.0\times {{10}^{-2}}\,c{{m}^{2}}\]. If the work done for increase in length by 0.2 cm is 0.4 joule, then Young's modulus of the material of the wire is

    A)                 \[2.0\times {{10}^{10}}\,N/{{m}^{2}}\]     

    B)                 \[4\times {{10}^{10}}\,N/{{m}^{2}}\]

    C)                 \[2.0\times {{10}^{11}}\,N/{{m}^{2}}\]     

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

    Correct Answer: C

    Solution :

        \[W=\frac{1}{2}\frac{YA{{l}^{2}}}{L}\]Þ\[0.4=\frac{1}{2}\times \frac{Y\times {{1}^{-6}}\times {{(0.2\times {{10}^{-2}})}^{2}}}{1}\] Y\[=2\times {{10}^{11}}N/{{m}^{2}}\]


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