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In Milikan's oil drop experiment, an oil...

In Milikan's oil drop experiment, an oil drop of radius `r` and charge `q` is held in equilibrium between the plates of as charged parallell plate capacitor when the potential difference is `V`. To keep as drop of radius `2`r and with a charge `2q` in equilibrium between the plates the potential difference `V` required is

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Since drop is at rest` QE=mg`

`Q(V)/(d)=(4pi)/(3)r^(3)pg , Vprop(r^(3))/(Q), (V_(2))/(V_(1))=((r_(2))/(r_(1)))^(3)(Q_(1))/(Q_(2))`
`(V_(2))/(V)=8xx(1)/(2) , thereforeV_(2)=4V`
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