Three identical, parallel conducting plates A, .B and C are placed as shown in fig. Switches S₁ and S₂ open, and can connect A and C to earth when closed. +Q charge is given to B.

Moderate

A

if S₁ is closed with S₂ open, a charge of amount Q will pass through S₁
B

if S₂ is closed with S₂ open, a charge of amount Q will pass through S₂
C

if S₁ and S₂ are closed together, a charge of amount Q/2 will pass through S₁ and a charge of amount Q/2 will pass through S₂
D

all the above statements are incorrect

Solution

When either a or C is earthed, a parallel plate capacitor is formed with plate B. There will be $\pm$ Q charges on inner surfaces. So, a charge of amount +Q flows to earth. When A and C both are earthed together, the plates form two capacitors in parallel. Their capacities will be in the ratio 1:2 and hence they share the charge Q/3 which will pass through S₁ and a charge 2 Q/3 which will pass through S₂.

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