The dimensional formula of torque is

The correct option is [ML²T⁻²].

To find the dimensional formula of torque, we can start from its physical definition and formula:
Torque ($\tau$) is defined as the product of force and the perpendicular distance from the axis of rotation.
$\mathrm{Torque}=\mathrm{Force}\times \mathrm{Distance}$

Let's find the dimensions of each term:
1. Distance is a measure of length, so its dimensional formula is:
$\left[\mathrm{Distance}\right]=\left[L\right]$

2. Force is defined as mass times acceleration ($F=m·a$).
- Mass has the dimension $\left[M\right]$.
- Acceleration is velocity per unit time, which has the dimension $\left[L{T}^{-2}\right]$.
Therefore, the dimensional formula of Force is:
$\left[\mathrm{Force}\right]=\left[M\right]\times \left[L{T}^{-2}\right]=\left[ML{T}^{-2}\right]$

Now, substituting these dimensions back into the formula for torque:
$\left[\mathrm{Torque}\right]=\left[\mathrm{Force}\right]\times \left[\mathrm{Distance}\right]$
$\left[\mathrm{Torque}\right]=\left[ML{T}^{-2}\right]\times \left[L\right]$
$\left[\mathrm{Torque}\right]=\left[M{L}^2{T}^{-2}\right]$

Thus, the dimensional formula of torque is [ML²T⁻²].