The dimensional formula of angular momentum is

The correct answer is Option 4: [ML²T⁻¹].

To find the dimensional formula of angular momentum, we can use its standard physical definition and relation with other fundamental physical quantities.
Angular momentum ($L$) of a particle is defined as the product of its linear momentum ($p$) and the perpendicular distance ($r$) from the axis of rotation:
$L=r\times p$

Since linear momentum ($p$) is the product of mass ($m$) and velocity ($v$), we can write:
$L=r\times m\times v$

Now, let's write down the dimensions of each constituent quantity:
1. Distance ($r$) has the dimension of length: $\left[L\right]$
2. Mass ($m$) has the dimension of mass: $\left[M\right]$
3. Velocity ($v$) has the dimension of length per unit time: $\left[L{T}^{-1}\right]$

Substituting these dimensions into the formula for angular momentum:
$\left[L\right]=\left[L\right]\times \left[M\right]\times \left[L{T}^{-1}\right]$

Combining the terms together, we get:
$\left[L\right]=\left[M{L}^2{T}^{-1}\right]$

Therefore, the dimensional formula of angular momentum is [ML²T⁻¹].