Question

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

Answer: (D)

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

$F=M\times \frac{L}{T^2}=\frac{ML}{TT}$
$F=\frac{MV}{T}$
$M=FT{V}^{-1}$