Three point charges $Q, 4Q $ and $16Q $ are placed on a straight line $9$ $cm$ long. Charges are placed in such a way that the system has minimum potential energy. Then

  • A

    $4Q$ and $16Q$ must be at the ends and $Q$ at a distance of $3$ $cm$ from the $16Q$.

  • B

    $4Q$ and $16Q$ must be at the ends and $Q$ at a distance of $6 $ $cm$ from the $16Q.$

  • C

    Electric field at the position of $Q$ is zero. 

  • D

    $B$ and $C$ both

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