Question

If force $\left(F\right)$, velocity $\left(V\right)$ and time $\left(T\right)$ are taken as fundamental units, then dimensions of mass are

• A. $\left[FV{T}^{-1}\right]$
• B. $\left[FV{T}^{-2}\right]$
• C. $\left[F{V}^{-1}{T}^{-1}\right]$
• D. $\left[F{V}^{-1}T\right]$

Answer 1

The correct option is D $\left[F{V}^{-1}T\right]$

$\left[F\right]=\left[\frac{ML}{T^2}\right]=[\frac{ML}{T}.\frac{1}{T}]=\left[\frac{MV}{T}\right]$

$\therefore \left[M\right]=\left[\frac{FT}{V}\right]=\left[F{V}^{-1}T\right]$