Question

explain the principle of homogeneity of dimensions. what are its uses?give example.​

Answer 1

Explanation:

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. ... Example 1: Check the correctness of physical equation s = ut + ½ at2.

Answer 2

Explanation:

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⇝The Principle of Dimensional Homogeneity is a consequence of the condition that every mathematical expression which expresses a physical law or describes a physical process must be invariant in relation with any changes of the fundamental units of measure.

⇝To find the dimensions and units of more complex quantities, we use the principle of dimensional homogeneity. 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.

Thus, to find the dimensions of force, we use Newton's second law of motion.

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