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Electrostatic Potential And Capacitance

Question
CBSEENPH12037379

The given graph shows the variation of charge q versus potential difference for two capacitors C1 and C2. The two capacitors have same plate separation, but the plate area of C2 is double that of C1. Which of the lines in the graph corresponds to C1 and C2 and why?

Solution
Capacitance of the parallel plate capacitor -C=εAd A

Given, the plate area of C2 is double than that of C1.
                         C2=2C1 
Slope of Q-V graph represents Capacitance C.

Here, the slope of A is greater than slope of B. 

Hence, line A represents Cand line B represents C1.
 

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