Question:
An oil drop of radius $2 \mathrm{~mm}$ with a density $3 \mathrm{~g}$ $\mathrm{cm}^{-3}$ is held stationary under a constant electric field $3.55 \times 10^{5} \mathrm{~V} \mathrm{~m}^{-1}$ in the Millikan's oil drop experiment. What is the number of excess electrons that the oil drop will possess?
(consider $\mathrm{g}=9.81 \mathrm{~m} / \mathrm{s}^{2}$ )
Correct Option: , 2
Solution:
$\mathrm{qE}=\mathrm{Mg}$
$n e E=\rho\left(\frac{4}{3} \pi r^{3}\right) \times g$
$\mathrm{n} \times 1.6 \times 10^{-19} \times 3.55 \times 10^{5}$
$=3 \times 10^{3} \times \frac{4}{3} \times \pi \times\left(2 \times 10^{-3}\right)^{3} \times 9.81$
$\mathrm{n}=173 \times 10^{(3-9-5+19)}$
$\mathrm{n}=1.73 \times 10^{10}$