After a magnetic field is applied, how many energy levels would you expect for then=3,ℓ=2 state, including electron spin?

The energy level is 5.

Explanation:

Given that,

n = 3

l = 2

We know that,

l shows the number of sub-shells and define the number of angular nodes.

n shows the number of electron shell.

is a quantum number. It is define the number of energy level in a sub-shells .

is define the spin of the electron.

So, The quantum number is

is and for every energy level.

The energy level is 5.

Hence, The energy level is 5.

well clustered together.

points close on a scatter diagram