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Question

In the given circuit, initially K1 is closed and K2 is open. Then K1 is opened and K2 is closed. If q1 and q2 are charges on C1 and C2 and V1 and V1 are the voltage respectively, then
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A
charge on C1 gets redistributed such that V1 = V2
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B
charge on C1 gets redistributed such that q1 = q2
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C
charge on C1 gets redistributed such that C1V1 = C2V2 = C1V
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D
charge on C1 gets redistributed such that q1 + q2 = 2q
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Solution

The correct option is B charge on C1 gets redistributed such that V1 = V2

From the figure, when K1 is closed and K2 is open, C1 is charged to potential V acquiring a total charge
q=C1V
When K1 is open and K2 is closed, battery is cut off C1 and C2 are in parallel. The charge on C1 is shared between C1 and C2 such that V1=V2
As there is no loss of charge q1+q2=q
1096026_945107_ans_90894cba1eb14b3e9b4d567fd5b6a197.png

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