Q.

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

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a

3×103V/m

b

8×103V/m

c

4×103V/m

d

2×103V/m

answer is A.

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Detailed Solution

Without electric field when oil drop is moving downwards,

mg=6πηrυ

Under el. Field of strength E, oil drop is to move upwards

     Femg=6πηrυ=mg                            …using(i)

(2e)E=2mg

        E=mge=3.2×1017×101.6×1019

            =2×103Vm1

 

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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