A particle of specific charge $(q/m)$ is projected from the origin of coordinates with initial velocity $[ui - vj]$. Uniform electric magnetic fields exist in the region along the $+y$ direction, of magnitude $E$ and $B.$ The particle will definitely return to the origin once if

  • A

    $[vB /2\pi E]$ is an integer

  • B

    $(u^2 + v^2)^{1/2} [B / \pi E]$ is an integer

  • C

    $[vB / \pi E]$ in an integer

  • D

    $[uB/ \pi E]$ is an integer

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