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Q.

An oil drop carrying a charge of 2 electrons has a mass of 3.2   ×  10−17​kg.  If is falling freely in air with terminal speed. The electric field required to make the drop move upwards with the same speed is

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a

2  ×  103 V/m

b

4  ×  103  V/m

c

3  ×  103 V/m

d

8  ×  103 V/m

answer is A.

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Detailed Solution

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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