In an ink-jet printer, an ink droplet of mass $m$ is given a negative charge $q$ by a computer-controlled charging unit, and then enters at speed $v$ in the region between two deflecting parallel plates of length $L$ separated by distance $d$ (see figure below). All over this region exists a downward electric field which you can assume to be uniform. Neglecting the gravitational force on the droplet, the maximum charge that can be given so that it will not hit a plate is close to :

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  • A

    $\frac{mv^2E}{dL^2}$

  • B

    $\frac{mv^2d}{EL^2}$

  • C

    $\frac{md}{E(vL)^2}$

  • D

    $\frac{m(vL)^2}{Ed}$

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