Assertion: If two physical quantities have same dimensions, then they can be certainly added or subtracted Reason: If the dimensions of both the quantities are same then both the physical quantities s

Question

Assertion: If two physical quantities have same dimensions, then they can be certainly added or subtracted Reason: If the dimensions of both the quantities are same then both the physical quantities should be similar.

TestHub · Accepted Answer

Both statements are wrong.
Two quantities with the same dimensions need not be physically similar: torque and work both have dimensions $[M L^{2} T^{- 2}]$ but are different physical quantities, and their addition is physically meaningless.
Hence the Assertion and the Reason are both false.

Physics - Unit & Dimension Question with Solution | TestHub

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