$A$ simple pendulum has a bob with mass $m$ and charge $q$. The pendulum string has negligible mass. When a uniform and horizontal electric field $\vec{E}$ is applied, the final tension in the string changes. The final tension in the string, when the pendulum attains an equilibrium position, is . . . . . . . ($g$: acceleration due to gravity)

  • A
    $mg-qE$
  • B
    $mg+qE$
  • C
    $\sqrt{m^{2}g^{2}+q^{2}E^{2}}$
  • D
    $\sqrt{m^{2}g^{2}-q^{2}E^{2}}$

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