explain the principles of homogeneity of dimensions. what are it's uses? give example.
Answers
Explanation:
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.
Principle of Homogeneity states that dimensions of each of the terms of a dimensional equation on both sides should be the same. This principle is helpful because it helps us convert the units from one form to another.
This simply means that, in any valid physical equation, the dimensions of both sides must be the same. Thus, for example, if (mass)n appears on the left-hand side of the equation, it must also appear on the right-hand side; similarly for length, time, and temperature.