state the principle of homogeneity and derive the expression for time period of a simple pendulum in terms of length of length of a pendulum and acclaration due to gravity by method of dimensions
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T=2π
g
l
Dimensionally [T]=
[LT
−2
]
[L]
=[T]
As in the above equation, the dimensions of both sides are same. The given formula is dimensionally correct.
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