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Question
Two metal spheres of capacitance C1 and C2 carry some charges. They are put in contact and then separated. The final charges Q1 and Q2 on them will satisfy
Options
`Q_1/Q_2< C_1/C_2`
`Q_1/Q_2 = C_1/C_2`
`Q_1/Q_2 > C_1/C_2`
`Q_1/Q_2 = C_2/C_1`
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Solution
`Q_1/Q_2 = C_1/C_2`
When the spheres are connected, charges flow between them until they both acquire the same common potential V.
The final charges on the spheres are given by
Q1 = C1V and Q2 = C2V
`therefore Q_1/Q_2 = (C_1V)/(C_2V) = C_1/C_2`
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