A proton of mass $m$ and charge $e$ is projected from a very large distance towards an $\alpha$-particle with velocity $v$. Initially $\alpha$-particle is at rest, but it is free to move. If gravity is neglected, then the minimum separation along the straight line of their motion will be

  • [KVPY 2018]
  • A

    $e^2 / 4 \pi \varepsilon_0 m v^2$

  • B

    $5 e^2 / 4 \pi \varepsilon_0 m v^2$

  • C

    $2 e^2 / 4 \pi \varepsilon_0 m v^2$

  • D

    $4 e^2 / 4 \pi \varepsilon_0 m v^2$

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