A positive charge $'q'$ of mass $'m'$ is moving along the $+ x$ axis. We wish to apply a uniform magnetic field $B$ for time $\Delta t$ so that the charge reverses its direction crossing the $y$ axis at a distance $d.$ Then

  • [JEE MAIN 2014]
  • A

    $B\, = \,\frac{{mv}}{{qd}}$ and $\Delta t\, = \,\frac{{\pi d}}{v}$

  • B

    $B\, = \,\frac{{mv}}{{2qd}}$ and $\Delta t\, = \,\frac{{\pi d}}{2v}$

  • C

    $B\, = \,\frac{{2mv}}{{qd}}$ and $\Delta t\, = \,\frac{{\pi d}}{2v}$

  • D

    $B\, = \,\frac{{2mv}}{{qd}}$ and $\Delta t\, = \,\frac{{\pi d}}{v}$

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