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

  • question_answer
    A rubber pipe of density \[1.5\times {{10}^{3}}\,N/{{m}^{2}}\] and Young's modulus \[5\times {{10}^{6}}\,N/{{m}^{2}}\] is suspended from the roof. The length of the pipe is 8 m. What will be the change in length due to its own weight                                  [RPET 1996]

    A) 9.6 m     

    B)                 \[9.6\times {{10}^{3}}\,m\]

    C)                 \[19.2\times {{10}^{-2}}\,m\]

    D)                             \[9.6\times {{10}^{-2}}\,m\]

    Correct Answer: D

    Solution :

        \[l=\frac{{{L}^{2}}dg}{2Y}\]\[=\frac{{{(8)}^{2}}\times 1.5\times {{10}^{3}}\times 10}{2\times 5\times {{10}^{6}}}=9.6\times {{10}^{-2}}m\]


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