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Question

The length of a simple pendulum is increased by 44%. What is the percentage increase in its time period?

A
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B
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C
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D
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Solution

The correct option is B
T = 2πlg
If the length or the pendulum is increased by 44%, the new length ​ l=l+0.44l=1.44l
Therefore, the new time period is T=2πlg
ThusTT=ll=1.44ll=1.44=1.2 or T=1.2T,
i.e., the time period increases by 0.2T or the percentage increase is 0.2TT×100=20%
Hence the correct choice is (b)

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