Question

If length 'L', force 'F' and time 'T' are taken as fundamental quantities. What would the dimensional equation of mass and density?

Answer 1

Dear student,
$$\begin{gathered} Density=\frac{Mass}{Volume} \\ Mass=\frac{F}{a}=\frac{F}{L{T}^{-2}}=\left[F{L}^{-1}{T}^2\right] \\ Volume=\left[L^3\right] \\ Density=\frac{\left[F{L}^{-1}{T}^2\right]}{\left[L^3\right]}=\left[F{L}^2{T}^2\right] \end{gathered}$$
Regards