Principal of homogeneity of dimensions
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Principal of homogeneity of dimensions:-
The principle of homogeneity is that the dimensions of each the terms of a dimensiional equation on both sides are the same . Any equation or formula involving dimensions (like mass, length, time , temperature electricity) have the terms with samedimensions.
According to principle of homogenuity, addtion and subtraction of quantities having same dimensions is only possible. If two quantities differ in dimensions, then their addition and subtraction is not possible.
Example: S = ut + at²/2
Here, each term has dimension of length and so, the equation is dimensionally correct.
v² = u² + 2as
Here each term has dimension of velocity squared, so the equation is dimensionally correct.
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