Of the following quantities, which one has dimensions diffe…

Physics Units, Dimensions and Measurement Dimensions Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: September 12, 2026

Of the following quantities, which one has dimensions different from the remaining three

Energy per unit volume

Force per unit area

Product of voltage and charge per unit volume

Angular momentum per unit mass

Text Solution

Verified by Experts

The correct answer is:

Energy per unit volume = \(\frac{[ML^{2}T^{-2}]}{[L^{2}]} = [ML^{ -2}T^{-2}]\)

Force per unit area = \(\frac{[MLT^{-2}]}{[L^{2}]} = [ML^{-3}T^{-2}]\)

Product of voltage and charge per unit volume

\(-\frac{V/Q}{Volume} - \frac{V/t}{Volume} - \frac{Power/Time}{Volume}\)

\(\Rightarrow\) \(\frac{[ML^{2}T^{-2}][T]}{[L^{3}]} = [ML^{-1}T^{-1}]\)

Angular momentum per unit mass = \(\frac{[ML^{2}T^{-1}]}{[M]} - [L^{2}T^{-1}]\)

So angular momentum per unit mass has different dimension.

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