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NEET Sample Paper NEET Sample Test Paper-20

  • question_answer
    If the gravitational force of attraction between any two bodies were to vary as instead of \[1/{{r}^{3}},\]instead of \[1/{{r}^{2}}.\] The period of revolution of a planet round the sun would vary as:

    A) \[\sqrt{r}\]                               

    B) \[r\]                 

    C)      \[{{r}^{\frac{3}{2}}}\]                   

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

    Correct Answer: D

    Solution :

    If the gravitational force were to vary as\[\frac{1}{{{r}^{3}}},\] the speed of the planet round the sun would be give by: \[v=\sqrt{\frac{GM}{{{r}^{2}}}}\]instead of \[v=\sqrt{\frac{GM}{r}}\] Therefore, the period of revolution of the planet would be given by \[T=\frac{2\pi r}{v}=\frac{2\pi {{r}^{2}}}{\sqrt{GM}}\] Hence, the correction option is (d).


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