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 = 2π√lg 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′=2π√l′g ThusT′T=√l′l=√1.44ll=√1.44=1.2orT′=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)