Is it possible for two quantities to (a) have the same units but different dimensions

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mastering-physics

#1

Is it possible for two quantities to (a) have the same units but different dimensions or (b) have the same dimensions but different units? Explain.

Answer:

(A) No.
Units have dimensions.
For example, meters can only have the dimension for length.

(B) Yes,
since different units can be used to measure the same dimensions.
For example, time [T] can be measured in seconds, minutes, or hours.