$A$ dipole consisting of two charges $\pm q$ separated by a distance $2a$ is placed with its centre at a distance $D$ from the center of a grounded conducting sphere of radius $R$ $(D \gg a)$. When the dipole moment vector is perpendicular to the line joining the two centres (those of the dipole and sphere),the total charge induced on the sphere is:

  • A
    $\frac{2aR}{D^2} q$
  • B
    $\frac{aR}{D^2} q$
  • C
    $\frac{aR}{2D^2} q$
  • D
    $0$

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