A) 1 : 4 : 9
B) 9 : 4 : 1
C) 1 : 2 : 3
D) 27 : 6 : 1
Correct Answer: D
Solution :
\[R\propto \frac{{{l}^{2}}}{m}\Rightarrow {{R}_{1}}:{{R}_{2}}:{{R}_{3}}=\frac{l_{1}^{2}}{{{m}_{1}}}:\frac{l_{2}^{2}}{{{m}_{2}}}:\frac{l_{3}^{2}}{{{m}_{3}}}\] \[\Rightarrow \,\,\,\,\,{{R}_{1}}:{{R}_{2}}:{{R}_{3}}=\frac{9}{1}:\frac{4}{2}:\frac{1}{3}=27:6:1\].
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