An oil drop of radius $2 \, mm$ with a density $3 \, g \, cm^{-3}$ is held stationary under a constant electric field $3.55 \times 10^{5} \, V \, m^{-1}$ in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will possess? (Consider $g = 9.81 \, m \, s^{-2}$)

  • A
    $48.8 \times 10^{11}$
  • B
    $1.73 \times 10^{10}$
  • C
    $17.3 \times 10^{10}$
  • D
    $1.73 \times 10^{12}$

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