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HOW WILL PROOVE A EQUATION IS DIAMENTIONALLY CORRECT

An equation is correct only if the dimensions of each term on either side of the equation are equal.In this case the equation is dimensionally correct ;but,may or may not be the correct equation for the physical quantity.If the homogeneity of dimensions does not hold good,the equation is definitely incorrect.

Example :-

Check the accuracy of the equation,S = ut + (1/2)at2

Dimension of the term S = L

Dimension of the term ut = LT-1 x T = L and the dimension of the term (1/2)at2 = LT-2 x T2 = L.Thus,we find that each term has the same dimensions.So the equation is dimensionally correct.              

                       


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