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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

Verified by Experts

Dimensional formula for
`1/2 mv^2 = [M][LT^(-1)]^2 = [ML^2 T^(-2)]`
Dimensional formula for
`mgh = [M] [LT^(-2)][L] = [ML^2 T^(-2)] `
`[ML^2 T^(-2)] = [ML^2 T^(-2)]`
Both sides are dimensionally the same, hence the equations `1/2 mv^2 = mgh` is dimensionally correct.
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