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Q.

Three identical capacitors are given a charge Q each and they are then allowed to discharge through resistance R1, R2 and R3. Their charges, as a function of time shown in the graph below. The smallest of the three resistance is 

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a

R2

b

Cannot be predicted

c

R3

d

R1

answer is C.

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Detailed Solution

During the discharge of a capacitor through a resistance charge at any instant Q=Q0etRC

Q0Q=etRC t=CR logeQ0Q

If Q → constant or same, then  tR 

Now, draw a line parallel to the time axis as shown. Suppose this line cut the graphs at points 1, 2 and 3. Corresponding time are t1,t2 and t3 respectively. Hence from graph t1 < t2 < t3 ⇒ R1 < R2 < R3

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