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

  • question_answer
    The area of cross section of a steel wire \[(Y=2.0\times {{10}^{11}}N/{{m}^{2}})\]is \[0.1\ c{{m}^{2}}\]. The force required to double its length will be                          [MP PET 2002]

    A)             \[2\times {{10}^{12}}N\]

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

    C)             \[2\times {{10}^{10}}N\]

    D)                      \[2\times {{10}^{6}}N\]

    Correct Answer: D

    Solution :

                    When the length of wire is doubled then \[l=L\] and strain = 1 \ Y = strain =\[\frac{F}{A}\] Force = Y × A \[=2\times {{10}^{11}}\times 0.1\times {{10}^{-4}}\]\[=2\times {{10}^{6}}N\]


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