A) 1 : 3 : 5
B) 5 : 3 : 1
C) 1 : 15 : 125
D) 125 : 15 : 1
Correct Answer: D
Solution :
\[R\propto \frac{{{l}^{2}}}{m}\]\[\Rightarrow \]\[{{R}_{1}}:{{R}_{2}}:{{R}_{3}}={{\left( \frac{{{l}_{1}}}{{{m}_{1}}} \right)}^{2}}:{{\left( \frac{{{l}_{2}}}{{{m}_{2}}} \right)}^{2}}:{{\left( \frac{{{l}_{3}}}{{{m}_{3}}} \right)}^{2}}\] \[=\frac{25}{1}:\frac{9}{3}:\frac{1}{5}\] \[=25:3:\frac{1}{5}\Rightarrow 125:15:1\].
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