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Q.

A copper ball of density 8.6 g cm-3, 1 cm in diameter is immersed in oil of density 0.8 g cm-3. If the ball remains suspended in oil in a uniform electric field of intensity 36000 Nc-1 acting in upward direction, what is the charge on the ball?

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a

2.4 μC

b

4.2 μC

c

3.7 μC

d

1.1 μC

answer is A.

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Detailed Solution

Apparent weight of the ball = mg -upthrust

=43πr3(ρσ)g=43π×(0.5)3×(8.60.8)×980=4,002.4 dyne =4.0024×102N

Let q be the charge on the ball. As the ball remains suspended, 
qE = apparent weight of the ball

q= apparent weight E4.0024×10236,000=1.11×106C

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