Question

If time $T$, acceleration $A$ and force $F$ are regarded as base units, then the dimensional formula of work is

• A. $\left[FA\right]$
• B. $\left[FAT\right]$
• C. $\left[FA{T}^2\right]$
• D. $\left[F{A}^{2}T\right]$

Answer 1

The correct option is C $\left[FA{T}^2\right]$

$Work=Force\times distance=F\times L$
We need distance in terms of acceleration and time.
$A=L{T}^{-2}$
$L=A{T}^2$
$W=FA{T}^2$