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Grade: 11
        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 %
2 years ago

Answers : (1)

Vikas TU
9517 Points
							
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%
2 years ago
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