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Question -

An oil drop of 12 excesselectrons is held stationary under a constant electric field of 2.55 × 104 N C−1 inMillikan’s oil drop experiment. The density of the oil is 1.26 g cm−3. Estimate the radius of the drop. (= 9.81 m s−2= 1.60 × 10−19 C).



Answer -

Excess electrons on an oildrop, n = 12

Electric field intensity, E = 2.55 × 104 NC−1

Density of oil, ρ = 1.26 gm/cm3 =1.26 × 103 kg/m3

Acceleration due togravity, g = 9.81 m s−2

Charge on an electron, e = 1.6 × 10−19 C

Radius of the oil drop = r

Force (F) due to electric field E is equal to the weight of the oildrop (W)

F = W

Eq mg

Ene 

Where,

q = Net charge on the oil drop = ne

= Mass of the oil drop

= Volume of the oil drop ×Density of oil

= 9.82 × 10−4 mm

Therefore,the radius of the oil drop is 9.82 × 10−4 mm.

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