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NEET Sample Paper NEET Sample Test Paper-4

  • question_answer
    Two identical spheres, each with radius(r) are placed so that their centres are at a distance of 6r. The gravitational force of attraction between them will be proportional to

    A)  \[{{r}^{2}}\]                                   

    B)  \[{{r}^{-2}}\]

    C)  \[{{r}^{4}}\]                       

    D)  \[{{r}^{6}}\]

    Correct Answer: C

    Solution :

    As  \[m=Vd=\frac{4}{3}\,\pi {{r}^{3}}d\] (Where, d= density and V = volume) \[\Rightarrow \]            \[m\propto {{r}^{3}}\]             \[F\propto \frac{{{r}^{3}}\times {{r}^{3}}}{{{r}^{2}}}\propto {{r}^{4}}\]


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