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NEET Sample Paper NEET Sample Test Paper-74

  • question_answer
    A body is acted by a force F such that \[F\propto \frac{1}{B}\], where B is distance covered by the body then work done by the force in moving body from points \[{{x}_{1}}\,\,and\,\,{{x}_{2}}\] is

    A)  \[k(x_{1}^{2}-x_{2}^{2})\]               

    B)  \[k\left( \frac{x_{1}^{2}}{x_{2}^{2}} \right)\]

    C)  \[k\,ln\left( \frac{x_{2}^{{}}}{x_{1}^{{}}} \right)\]                 

    D)  \[k\,ln\left( \frac{x_{2}^{2}}{x_{1}^{2}} \right)\]

    Correct Answer: C

    Solution :

    As,       \[F\propto \frac{1}{B}\,\,\,\Rightarrow \,\,F=\frac{k}{B}\] Now, work done \[W=\int\limits_{{{X}_{1}}}^{{{X}_{2}}}{F.dB=}\int\limits_{{{X}_{1}}}^{{{X}_{2}}}{\frac{k}{B}dB}=k\,\,in\,\,\left( \frac{{{x}_{2}}}{{{x}_{1}}} \right)\]


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