A) 100%
B) 200%
C) 300%
D) 400%
Correct Answer: A
Solution :
\[\frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{{{l}_{1}}}{{{l}_{2}}}}\Rightarrow \frac{{{T}_{1}}}{{{T}_{2}}}=\sqrt{\frac{100}{400}}\] (If \[{{l}_{1}}=100\] then \[{{l}_{2}}=400\]) \[\Rightarrow \] \[{{T}_{2}}=2{{T}_{1}}\] Hence % increase \[=\frac{{{T}_{2}}-{{T}_{1}}}{{{T}_{1}}}\times 100=100%\]
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