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Q.

In the given circuit, charge Q2 on the 2 μF capacitor changes as C is varied from 1 μF to 3 μF. Q2 as a function of 'C' is given properly by :(figures are drawn schematically and are not to scale)

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a

b

c

d

answer is B.

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Detailed Solution

∴ Q2=C2C1+C2Q=23Q ...(1) Q1=C1C1+C2Q=13Q ...(2) Q=CV=3CC+3E (From eqn. (1)) ∴ Q2=23×3CEC+3E=2CEC+3 Q+∫ar Ar4πr2dr

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