Question

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

• A. Energy density
• B. Force per unit area
• C. Product of charge per unit volume and voltage
• D. Angular momentum per unit mass

Answer 1

The correct option is D Angular momentum per unit mass

Energy density $=\frac{energy}{volume}=\frac{M{L}^2{T}^{-2}}{L^3}=M{L}^{-1}{T}^{-2}$
Force per unit area $=\frac{ML{T}^{-2}}{L^2}=M{L}^{-1}{T}^{-2}$
Product of the charge per unit volume and voltage $=Q\frac{\left(IT\right)V}{Volume}=\frac{M{L}^2{T}^{-2}}{L^3}=M{L}^{-1}{T}^{-2}$
Angular momentum per unit mass $=\frac{M^1{L}^2{T}^{-1}}{M}$$=L^2{T}^{-1}$
So, option D is correct.