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NEET Sample Paper NEET Sample Test Paper-71

  • question_answer
    Mass Mis divided into two parts xM and\[(1 -x)M\] For a given separation, the value of x for which 0 the gravitational attraction between the two pieces becomes maximum is

    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 \[\frac{dF}{dx}=0\] \[\Rightarrow \,\,\,\,\frac{dF}{dx}={{m}^{2}}-2x{{m}^{2}}=0\] \[\Rightarrow \,\,\,\,x=1/2\]


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