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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