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Q.

A charged oil drop of mass 2.5×10-7 kg is in space between the two plates, each of area  2×10-2 m2 of a parallel plate capacitor. When the upper plate has a charge of 5×10-7 C and the lower plate has an equal negative charge, then the oil remains stationary. The charge of the oil drop is (take, g=10 m/s2)

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a

1.8×10-14 C

b

9×10-6 C

c

8.85×10-13 C

d

9×10-1 C

answer is C.

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Detailed Solution

We know that, qE = mg

                      qQε0A=mg

or the charge of the oil drop,

                 q=ε0AmgQ=8.85×10-12×2×10-2×2.5×10-7×105×10-7

                    =8.85×10-13 C

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