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If the length of the simple pendulum is ...

If the length of the simple pendulum is increased by 44% from its original length, calculate the percentage increase in time period of the pendulum.

Text Solution

Verified by Experts

Since `Tpropsqrt(l)`
Therefore, T = constant `sqrt(l)`
`(T_(f))/(T_(i))=sqrt((l+(44)/(100)l)/(l))=sqrt(1.44)=1.2`
Therefore, `T_(f)=1.2T_(i)=T_(i)+20%T_(i)`
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