Question

Dimensional formula for force is

• A. $\left[M{L}^2{T}^{-2}\right]$
• B. $\left[ML{T}^{-2}\right]$
• C. $\left[M{L}^{-1}{T}^{-2}\right]$
• D. $\left[M{L}^2{T}^{-3}\right]$

Answer 1

The correct option is B

$\left[ML{T}^{-2}\right]$

Definition of the Force

Force, $F$ is the product of the mass, $m$ and the acceleration$a$.

$F=m\times a$

Dimensional formula of the Force

$\left[F\right]=\left[M\right]\left[L{T}^{-2}\right]$

$\left[F\right]=\left[ML{T}^{-2}\right]$

Hence, the correct option is $\left(B\right)$.