Two particle of equal mass $m$ and charge $q$ are placed at a distance of $16\, cm$. They do not experience any force. The value of $\frac{q}{m}$ is

  • A

    Zero

  • B

    $\sqrt {\frac{{\pi {\varepsilon _0}}}{G}} $

  • C

    $\sqrt {\frac{G}{{4\pi {\varepsilon _0}}}} $

  • D

    $\sqrt {4\pi {\varepsilon _0}G} $

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  • [JEE MAIN 2021]

$A$ and $B$ are two identical blocks made of a conducting material. These are placed on a horizontal frictionless table and connected by a light conducting spring of force constant $‘K’$. Unstretched length of the spring is $L_0$. Charge $Q/2$ is given  to each block. Consequently, the spring stretches to an equilibrium length $L$. Value of $Q$ is