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If length of a pendulum is increased by 44%, its time period increased by A. 10% B. 20% C. 30% D. 40%

If length of a pendulum is increased by 44%, its time period increased by
A. 10%
B. 20%
C. 30%
D. 40%

Grade:12th pass

2 Answers

Arun
25750 Points
4 years ago

Time period of a pendulum is given by the formula, T= 2pi * sqrt(l/g)

So if the length is increased by 44% i.e l’= 1.44l

The new time period, T’=2pi *sqrt(1.44l/g) = 2pi *1.2 * sqrt(l/g)

So the new time period is 1.2 times of the old one or you can say it increased by 20%.

Vikas TU
14149 Points
4 years ago
Dear student 
we can also do this by this short method 
Because the length is increased by 44% , L = 1.44L 
New time period = T* sqrt(1.44) = 1.2T 
Thus there is 20% increasein time period. 

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