Question

Which of these is dimensionless?

• A. Force$/$acceleration
• B. Velocity$/$acceleration
• C. Volume$/$area
• D. Energy$/$work

Answer 1

The correct option is D Energy$/$work

i) $\frac{Force}{acceleration}=\frac{kg.m.s^{-2}}{m.s^{-2}}=Kg$

ii) $\frac{Velocity}{acceleration}=\frac{m.s^{-1}}{m.s^{-2}}=s$
iii) $\frac{Volume}{Area}=\frac{m^3}{m^2}=m$
iv) $\frac{Energy}{Work}=\frac{J}{J}=1$