Question

If two quantities have same dimensions do they represent same physical quantities??

Answer 1

No . for example both torque & energy has the same dimensions ML^2T^-2 . but they r diff physical quantity. They need not always represent the same physical content. In general, if the dimensions are same, the quantities do represent the same physical content.



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Answer 2

☑️This is not necessary true.

For example pressure which is force per unit area and energy density which is energy per unit volume have the same dimensions

hope it will help you ☺️