A) 2 : 1
B) 4 : 1
C) \[8:1\]
D) 16 : 1
Correct Answer: D
Solution :
\[\frac{Q}{t}=\frac{kA(\Delta \theta )}{l}\]Þ\[\frac{Q}{t}\propto \frac{A}{l}\propto \frac{{{r}^{2}}}{l}\] Þ \[\frac{{{\left( Q/t \right)}_{1}}}{{{(Q/t)}_{2}}}={{\left( \frac{{{r}_{1}}}{{{r}_{2}}} \right)}^{2}}\times \frac{{{l}_{2}}}{{{l}_{1}}}\]\[={{\left( \frac{2}{1} \right)}^{2}}\times \left( \frac{4}{1} \right)=\frac{16}{1}\]
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