A) \[\frac{{{R}_{1}}}{{{R}_{2}}}\]
B) \[\frac{{{R}_{2}}}{{{R}_{1}}}\]
C) \[\frac{{{R}_{{{1}^{2}}}}}{{{R}_{{{2}^{2}}}}}\]
D) \[\frac{{{R}_{{{2}^{2}}}}}{{{R}_{{{1}^{2}}}}}\]
Correct Answer: A
Solution :
When connected by a long wire then, \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{C}_{1}}V}{{{C}_{2}}V}\] \[=\frac{4\pi {{\varepsilon }_{0}}{{R}_{1}}V}{4\pi {{\varepsilon }_{0}}{{R}_{2}}V}\] \[\Rightarrow \] \[\frac{{{Q}_{1}}}{{{Q}_{2}}}=\frac{{{R}_{1}}}{{{R}_{2}}}\]
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