what is the principal of homogeneity of dimensions?
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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.
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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.
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