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

  • question_answer
     A weight of 200 kg is suspended by vertical wire of length 600.5 cm. The area of cross-section of wire is \[1\,m{{m}^{2}}\]. When the load is removed, the wire contracts by 0.5 cm. The Young's modulus of the material of wire will be

    A)                 \[2.35\times {{10}^{12}}\,N/{{m}^{2}}\]  

    B)                 \[1.35\times {{10}^{10}}\,N/{{m}^{2}}\]

    C)                 \[13.5\times {{10}^{11}}\,N/{{m}^{2}}\]  

    D)                 \[23.5\times {{10}^{9}}\,N/{{m}^{2}}\]

    Correct Answer: A

    Solution :

        \[F=2000N,\ L=6m,\ l=0.5\ cm,A={{10}^{-6}}{{m}^{2}}\]             \[Y=\frac{FL}{Al}=\frac{2000\times 6}{{{10}^{-6}}\times 0.5\times {{10}^{-2}}}=2.35\times {{10}^{12}}\ N/{{m}^{2}}\]


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