JEE Main & Advanced Physics Wave Mechanics Question Bank Self Evaluation Test - Mechanical Properties of Solids

  • question_answer
    When the load on a wire is increasing slowly from 2 kg to 4 kg, the elongation increases from 0.6 mm to 1 mm. The work done during this extension of the wire is (\[g=10m/{{s}^{2}}\])

    A) \[9\times {{10}^{-3}}J\]

    B) \[12\times {{10}^{-3}}J\]

    C) \[14\times {{10}^{-3}}J\]

    D) \[16\times {{10}^{-3}}J\]

    Correct Answer: C

    Solution :

    [c] \[\Delta w=\frac{1}{2}[{{F}_{2}}{{\ell }_{2}}-{{F}_{1}}{{\ell }_{1}}]\] \[\begin{align}   & =\frac{1}{2}[4\times 10\times 1\times {{10}^{-3}}-2\times 10\times 0.6\times {{10}^{-3}} \\  & =14\times {{10}^{-3}}] \\ \end{align}\]


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