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

Check the correctness of the equation 1/2 mv^(2) = mgh using dimension

1.	Check the correctness of the equation 1/2 mv^(2) = mgh using dimensional analysis method.
Answer» Solution :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.