Q.

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