Question

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

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

Answer 1

The correct option is D Angular momentum

Energy density $=\frac{Energy}{Volume}=\frac{M{L}^2{T}^{-2}}{L^3}=M{L}^{-1}{T}^{-2}$

Force per unit area $=\frac{Force}{Area}=\frac{ML{T}^{-2}}{L^2}=M{L}^{-1}{T}^{-2}$

Product of the charge per unit volume and voltage $=\frac{Work}{Charge}\times \frac{Charge}{Volume}=\frac{Work}{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 correct answer is option (D).