A) 1: 3
B) 4 : 3
C) 8 : 9
D) 3 : 2
Correct Answer: C
Solution :
\[\frac{Q}{t}=\frac{KA({{\theta }_{1}}-{{\theta }_{2}})}{l}\] \[\Rightarrow \] \[\frac{Q}{t}\propto \frac{A}{l}\propto \frac{{{r}^{2}}}{l}\] [As \[({{\theta }_{1}}-{{\theta }_{2}})\] and K are constants] \[\Rightarrow \frac{{{\left( \frac{Q}{t} \right)}_{1}}}{{{\left( \frac{Q}{t} \right)}_{2}}}=\frac{r_{1}^{2}}{r_{2}^{2}}\times \frac{{{l}_{2}}}{{{l}_{1}}}=\frac{4}{9}\times \frac{2}{1}=\frac{8}{9}\]
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