Manipal Medical Manipal Medical Solved Paper-2011

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

    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 :

     Youngs modulus of elasticity \[Y=\frac{FL}{Al}\] To double the length \[l=L\] \[\therefore \] \[Y=\frac{F}{A}\Rightarrow F=YA\] \[=2\times {{10}^{11}}\times 0.1\times {{10}^{-4}}=2\times {{10}^{6}}N\]


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