Answer : The magnitude of the orbital angular momentum for its most energetic electron is, 
Explanation :
The formula used for orbital angular momentum is:

where,
L = orbital angular momentum
l = Azimuthal quantum number
As we are given the electronic configuration of Fe is, ![[Ar]3d^64s^2](https://tex.z-dn.net/?f=%5BAr%5D3d%5E64s%5E2)
Its most energetic electron will be for 3d electrons.
The value of azimuthal quantum number(l) of d orbital is, 2
That means, l = 2
Now put all the given values in the above formula, we get:


Therefore, the magnitude of the orbital angular momentum for its most energetic electron is, 