How do we get to know that the two quantities have same dimensions??
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=>The dimension of a physical quantity describes the physical nature of the quantity and the kind of unit that is used to express the quantity. It is possible for two quantities to have the same dimensions but different units. ... All quantities with the same units must have the same dimensions.....
*Do quantities having the same dimensions always have the same units?
=>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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