An elementary particle of mass $m$ and charge $ + e$ is projected with velocity $v$ at a much more massive particle of charge $Ze,$ where $Z > 0.$What is the closest possible approach of the incident particle

  • A

    $\frac{{Z{e^2}}}{{2\pi {\varepsilon _0}m{v^2}}}$

  • B

    $\frac{{Ze}}{{4\pi {\varepsilon _0}m{v^2}}}$

  • C

    $\frac{{Z{e^2}}}{{8\pi {\varepsilon _0}m{v^2}}}$

  • D

    $\frac{{Ze}}{{8\pi {\varepsilon _0}m{v^2}}}$

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