JEE Main & Advanced Sample Paper JEE Main Sample Paper-29

  • question_answer
    If \[\vec{F}=y\hat{i}+x\hat{j}\] is acting on particle during its displacement from \[(0,0)\] to \[(2,3)\] then find work done by the force

    A) \[6\,\,J\]          

    B) \[4\,\,J\]

    C) \[5\,\,J\]                                             

    D) data insufficient

    Correct Answer: A

    Solution :

    \[x=\frac{-1}{8}\]                 \[f\left( \frac{-1}{8} \right)\,=\frac{-1}{4}\]                 \[\frac{dx}{dy}\,=\frac{{{e}^{2x}}+{{y}^{2}}}{{{y}^{3}}}\,\Rightarrow {{e}^{-2x}}\,\frac{dx}{dy}=\frac{1}{{{y}^{3}}}\,+\frac{1}{y\,}{{e}^{-2x}}\]

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