Question

Write all the possible sets of magnetic quantum numbers, mℓ, for an electron in the n =3 shell that have an angular momentum quantum number ℓ =1 and a spin quantum number ms = +1/2 .

Answer 1

As M = -l..... 0....+l
For n=3 we have l = s p d

For l=0
We have M=0

For l=1
We have M= - 1,0,+1

For l=2
We have M= - 2,-1,0,+1,+2


Hope you get your answer.

Answer 2

Answer:

4,2,1,-1/2

5,2,1,-1/2

4,2,-1,-1/2

Step-by-step explanation:

The allowed values for mℓ range from −ℓ to +ℓ and the allowed values for ℓ are integers between zero and n−1. Once you know the value for n, you can determine the acceptable ℓ values, and from there the acceptable mℓ values. The ms values are fixed at either 1/2 or −1/2.