A) 4 times
B) 2 times
C) 8 times
D) 16 times
Correct Answer: B
Solution :
\[Q\propto \frac{A}{l}\propto \frac{{{r}^{2}}}{l}\,\,\Rightarrow \,\,\propto \frac{{{Q}_{2}}}{{{Q}_{1}}}=\frac{r_{2}^{2}}{r_{1}^{2}}\times \frac{{{l}_{1}}}{{{l}_{2}}}\] \[\Rightarrow \,\,\,\,\,\,\frac{{{Q}_{2}}}{{{Q}_{1}}}=\frac{4}{1}\times \frac{1}{2}\,\,\,\,\,\Rightarrow \,\,{{Q}_{2}}\,\,=\,\,2{{Q}_{1}}\]
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