JEE Main & Advanced Physics Gravitation / गुरुत्वाकर्षण Question Bank Newtons Law of Gravitation

  • question_answer
    Mass M is divided into two parts xM and \[(1-x)\,M\]. For a given separation, the value of x for which the gravitational attraction between the two pieces becomes maximum is [EAMCET 2001]

    A)          \[\frac{1}{2}\]              

    B)          \[\frac{3}{5}\]

    C) 1      

    D) 2

    Correct Answer: A

    Solution :

                                      \[F\propto xm\times (1-x)m=x{{m}^{2}}(1-x)\] For maximum force \[\frac{dF}{dx}=0\] Þ\[\frac{dF}{dx}={{m}^{2}}-2x{{m}^{2}}=0\,\Rightarrow x=1/2\]


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