Question

The dimension formula of torque is

• A. $M{L}^2$
• B. $MLT$
• C. $ML{T}^2$
• D. $M{L}^2{T}^{-2}$

Answer 1

The correct option is D $M{L}^2{T}^{-2}$

Torque, $\tau =r\times F=rma$

The dimensional formula of torque,

$\left[\tau \right]=\left[r\right]\left[m\right]\left[a\right]$

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

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

The correct option is D.