what is principle of homogeneity of dimensional equations
Answers
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.
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Principle of Homogeneity of Dimensional equations :
According to this principle, an equation will be dimensionally correct when the dimension of all the terms in both side of the equation (L. H. S. & R. H. S.) are the same.
⚫This is one of the application of Dimensional Analysis.
⚫In checking the dimensional consistency of equations, this principle is followed.
⚫This is based on the fact that physical quantities of same type can be added, subtracted or compared.
Example : Velocity can be added to velocity and can be subtracted to the velocity but not to force because of having different dimensional formula.