Chemistry Question on Structure of atom

Question

An electron in the 5d orbital can be represented by the following(n,1,mr) values

Answer 1

Solution

The correct answer is/are option(s):
(A): (5,2,1)
(D): (5,2,-1)
The principal quantum number, or n, describes the energy level in which the electron can be found, Since you're interested in an electron located in a 5d−orbital, n=5.
The angular momentum quantum number, or l, describes the subshell, or orbital type, in which your electron is located. Since you have a d−orbital, l=2.
The value of l will give you the value of the magnetic quantum number, or ml, which describes the orientation of the orbital.

The accepted values for ml range from −l to +l, which means that you can have 5 d-orbitals in the fifth energy level, dxy,dxz,dyz,dz2 and dx2−y2, each described by a magnetic quantum number m1 =−2

m1=−1

m1=0

m1=+1

m1=+2

As an example, here's how these orbitals would look for the 3d subshell