\[{{C}_{1}}\] \[{{C}_{2}}\]
A) \[{{C}_{1}}>{{C}_{2}}\]
B) \[{{C}_{1}}={{C}_{2}}\]
C) \[{{C}_{1}}<{{C}_{2}}\]
D) the information is not sufficient to decide the relation between \[{{C}_{1}}\,and\,{{C}_{3}}\]
Correct Answer: C
Solution :
According to graph we can say that potential difference across the capacitor \[{{C}_{1}}\] is more than that across\[{{C}_{2}}\]. Since charge Q is same i.e., \[Q={{C}_{1}}{{V}_{1}}\,\,=\,{{C}_{2}}{{V}_{2}}\] \[\Rightarrow \,\,\,\,\frac{{{C}_{1}}}{{{C}_{2}}}=\frac{{{V}_{2}}}{{{V}_{1}}}\,\,\,\Rightarrow \,\,\,\,\,{{C}_{1}}<{{C}_{2}}\,\,\,\,\,\,\,\,\,\,\,({{V}_{1}}>{{V}_{2}})\]
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