A simple pendulum is executing simple harmonic motion with a time period T. If the length of the pendulum is increased by 21%, the percentage increase in the time period of the pendulum of increased length is

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10%

21%

30%

50%

answer is A.

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Detailed Solution

If initial length l1=100 then l2=121 By using T=2πlg⇒T1T2=l1l2 Hence, T1T2=100121⇒T2=1.1 T1% increase = T2−T1T1×100=10 %

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