The time period T is found to depend upon L(length) as..
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Time period has the dimensions of T since it is the time taken to complete one cycle of the swinging motion. The dimensions of acceleration due to gravity are L(T^-2) , and of length are L. Now we have time period is proportional to g^a, L^b. also, 0 = a + b. (from dimensions of Length in LHS and RHS).
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Explanation:
- if the length is more it will also increases the T(time period).
- if the length is less it decreases the T
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