A) \[9:1\]
B) \[1:9\]
C) \[3:1\]
D) \[1:3\]
Correct Answer: A
Solution :
\[v=\frac{1}{2l}\sqrt{\frac{T}{m}}\] \[\Rightarrow \] \[v\propto \frac{\sqrt{T}}{l}\] \[\frac{{{T}_{2}}}{{{T}_{1}}}={{\left[ \frac{{{v}_{2}}}{{{v}_{1}}} \right]}^{2}}{{\left[ \frac{{{l}_{2}}}{{{l}_{1}}} \right]}^{2}}={{\left[ \frac{300}{200} \right]}^{2}}{{\left[ \frac{2l}{l} \right]}^{2}}=\frac{9}{1}\]You need to login to perform this action.
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