Q 11-01-140JEE MainJEE Main 2023 (11 Apr, Shift 2)Medium
If force ($F$), velocity ($V$) and time ($T$) are considered as fundamental physical quantities, then dimensional formula of density will be
Answer: (B) $FV^{-4}T^{-2}$
Mass $=\dfrac{F}{a}=\dfrac{FT}{V}$ and length $=VT$.
$$\rho=\frac{M}{L^3}=\frac{FTV^{-1}}{V^3T^3}=FV^{-4}T^{-2}$$
Solution by Sreeraj P, M.Sc Physics