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An oil drop carrying a charge of 2 electrons has a mass of 3.2×1017kg.  If is falling freely in air with terminal speed. The electric field required to make the drop move upwards with the same speed is

a
2  ×  103 V/m
b
4  ×  103  V/m
c
3  ×  103 V/m
d
8  ×  103 V/m

detailed solution

Correct option is A

Without electric field when oil drop is moving downwards,mg = 6 π η r υUnder el. Filed of strength E, oil drop is to move upwards∴     Fe−mg=6  π  η r υ=mg                            …using(i)(2 e) E=2 mg        E=mge=3.2  ×  10−17×  101.6  ×  10−19            =2  ×  103 Vm−1

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