To show that the ratio of square of time period of a pendulum to its effective length is constant. Hence
find the value of acceleration due to gravity
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The time period of simple pendulum can be written as
T=2π
g
l
l= length of pendulum
g= acceleration due to gravity at the position of simple pendulum.
Now when g is unchanged and as 2π is constant, T will only depend on length as the square root of it. So our given statement is true.
Explanation:
hope it is helpful
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