Question

If length, force and time are taken as fundamental quantities, what would be the dimension equations of (i) mass (ii) density?

Answer 1

(i) : Mass $m=\frac{Force}{Acceleration}$

So, $\left[m\right]=\frac{Force}{lengthtim{e}^{-2}}$

(ii) : Density $d=\frac{Mass}{Volume}$

Or $\left[d\right]=\frac{Force/\left(lengthtim{e}^{-2}\right)}{lengt{h}^3}$

$⟹\left[d\right]=\frac{Forcetim{e}^2}{lengt{h}^4}$