A) \[\frac{2T}{\sqrt{5}}\]
B) \[\frac{\sqrt{5}T}{2}\]
C) \[\frac{\sqrt{5}}{2T}\]
D) \[\frac{2}{\sqrt{5}T}\]
Correct Answer: A
Solution :
\[T=2\pi \sqrt{\frac{l}{g}}\] Þ \[\frac{{{T}'}}{T}=\sqrt{\frac{g}{{{g}'}}}=\sqrt{\frac{g}{g+\frac{g}{4}}}=\sqrt{\frac{4}{5}}=\frac{2}{\sqrt{5}}\]
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