If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:-
Option A $\quad\left[\mathrm{F} \mathrm{VT}^{-1}\right]$
Option B $\quad\left[\mathrm{F} \mathrm{VT}^{-2}\right]$
Option C $\quad\left[\mathrm{F} \mathrm{V}^{-1} \mathrm{~T}^{-1}\right]$
Option D $\quad[\mathrm{F} \mathrm{V}^{-1} \mathrm{~T}]$
If force (F), velocity (V) and time (T) are taken as fundamental units, then the dimensions of mass are:-
Option A $\quad\left[\mathrm{F} \mathrm{VT}^{-1}\right]$
Option B $\quad\left[\mathrm{F} \mathrm{VT}^{-2}\right]$
Option C $\quad\left[\mathrm{F} \mathrm{V}^{-1} \mathrm{~T}^{-1}\right]$
Option D $\quad[\mathrm{F} \mathrm{V}^{-1} \mathrm{~T}]$

The correct Option is D

Force $=$ mass $\times$ acceleration

mass $=\frac{\text { Force }}{\text { Acceleretion }}=\left[\frac{\text { Force }}{\text { Velocity / time }}\right]$

$=\left[F \mathrm{~V}^{-1} \mathrm{~T}\right]$