Question

what is the principal of homogeneous?​

Answer 1

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.

Explanation:

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Answer 2

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.