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What will be the percentage change in the time period of a simple pendulum if its length is increased by _6% (1)3% (2) 9% (3)6% (4) 1/9 %

What will be the percentage change in the time period of a simple pendulum if its length is increased by _6% (1)3% (2) 9% (3)6% (4) 1/9 %

Grade:11

1 Answers

Vikas TU
14149 Points
7 years ago
Time peroid of the  simple pendulum is proportional to the root of the length of the pendulum.
that is, let
T = c*root(l)
T’ =c*root(l+0.06l) => c*root(1.06l)
percentage change in Time period =>  (c*root(1.06l) – c*root(l))/c*root(l) => (root(1.06) – 1)*100
=> 2.95% that would be approx. 3%

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