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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a
10%
b
21%
c
30%
d
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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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