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Question

An oil drop carrying charge Q is held in equilibrium by a potential difference of 600V between the horizontal plates. In order to hold another drop of twice the radius in equilibrium a potential drop of 1600V had to be maintained. The charge on the second drop is:


A
Q2
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B
2Q
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C
3Q2
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D
3Q
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Solution

The correct option is D 3Q
Force balancing (Electrostatic force = weight)

Q1E=4/3πr3ρg
Q2E=4/3π8r3ρg
600/1600×Q1/Q2=1/8Q2=3Q1

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