A) \[1:9\]
B) \[1:3\]
C) \[3:1\]
D) \[1:27\]
E) \[9:1\]
Correct Answer: A
Solution :
Accordingly \[\frac{4T}{{{r}_{1}}}=3\times \frac{4T}{{{r}_{2}}}\] \[\Rightarrow \] \[\frac{{{r}_{1}}}{{{r}_{2}}}=\frac{1}{3}\] Ratio of surface areas \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{4\pi r_{1}^{2}}{4\pi r_{2}^{2}}=\frac{1}{9}\]
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