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Check the correctness of the equation (1...

Check the correctness of the equation `(1)/(2) mv^(2)` = mgh using dimensional analysis method.

Text Solution

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By the principle of homogeneity, `a//V^(2)` is of the dimensions of pressure  and b is of the dimensions of volume.
[a] = [pressure] `[V^(2)]= [ML^(-1) T^(-2)] [L^(6)]= [ML^(5)T^(-2)]`
[b] `=[V]= L^(3)`
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