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Q. An oil drop having a mass of $4.8 \times 10^{-10} g$ and charge of $30 \times 10^{-18} C$ stands still between two charged horizontal plates separated by a distance of $1 cm$. If now polarity of the plates is changed, instantaneous acceleration of the drop is $\left( g =10 m / s ^{2}\right)$

Electric Charges and Fields

Solution:

Case I : when oil drop is in equilibrium
image
$\therefore mg = qE$
case II : when the polarity are reversed
image
$mg + qE = ma$
$mg + mg = ma$
$2 mg = ma$
$2 g = a$
$2 \times 10 = a$
$a = 20m/s^2$