Answer the following questions about the dimensional uniformity of physical equations.

PHYSICS · Multi-part · A Level · Physics · Measurements and their errors · Measurements and their errors

Problem

Answer the following questions about the dimensional uniformity of physical equations. (a) State the principle which governs the dimensional uniformity of a physical equation. (b) Power PP is related to force FF and velocity vv by two alternative expressions written by two students: (I) P=FvP = Fv(II) P=FvP = \dfrac{F}{v} Using appropriate reasoning based on dimensions, explain which of the above expressions could be physically meaningful.

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