An electron is moving round the nucleus of a hydrogen atom in a circular orbit of radius $r$. The Coulomb force $\vec{F}$ between the two is

  • A

    $k\,\,\frac{{{e^2}}}{{{r^2}}}\,\,\hat r$

  • B

    $ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$

  • C

    $k\,\,\frac{{{e^2}}}{{{r^3}}}\,\,\hat r$

  • D

    $ - k\,\,\frac{{{e^2}}}{{{r^3}}}\,_r^ \to $

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  • [AIEEE 2006]