Question

which is a correct set of values of m for one of the subshells of n = 2?
-1, 0, 1
-1, -2, 0, 1, 2
-1, -2, -3, 0, 1, 2, 3
-1, -2, -3, -4, 0, 1, 2, 3, 4

Explanation:

Step1: Recall quantum - number rules

For a given principal quantum number $n$, the angular - momentum quantum number $l$ can have values $l = 0,1,\cdots,n - 1$. For $n=2$, $l = 0,1$.

Step2: Recall the range of magnetic quantum number $m$

The magnetic quantum number $m$ has values $m=-l,-l + 1,\cdots,0,\cdots,l-1,l$. When $l = 0$, $m = 0$. When $l = 1$, $m=-1,0,1$.

Answer:

-1, 0, 1