An oil drop of $12$ excess electrons is held stationary under a constant electric field of $2.55 \times 10^{4}\; N\,C ^{-1}$ (Millikan's oil drop experiment). The density of the oil is $1.26 \;g \,cm ^{-3} .$ Estimate the radius of the drop. $\left(g=9.81\; m s ^{-2} ; e=1.60 \times 10^{-19}\; \,C \right)$

  • A

    $7.24 \times 10^{-4} \;cm$.

  • B

    $9.82 \times 10^{-4} \;mm$.

  • C

    $8.34 \times 10^{-4} \;m$.

  • D

    $4.25 \times 10^{-5} \;mm$.

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