Q 11-01-193JEE MainJEE Main 2021 (27 Aug, Shift 2)Easy
If force (F), length (L) and time (T) are taken as the fundamental quantities. Then what will be the dimension of density:
Answer: (A) $[\text{FL}^{-4}\text{T}^2]$
From $F = ma$, mass has dimensions $[\text{FL}^{-1}\text{T}^2]$.
$$[\rho] = \frac{[M]}{[\text{L}^3]} = [\text{FL}^{-4}\text{T}^2]$$
Solution by Sreeraj P, M.Sc Physics