a. An atomic orbital has `n=3`. What are the possible values of `l` and `m`?
b. List the quantum numbers `(m and l)` of electrons for `3d` orbital.
c. Which of the following orbitals are possible" `1p, 2s, 2p,` and `3f`?

Explanation

(i) When `n=3, l=0, 1, 2`.
When `l=0, m_(l)=0`. When `l=1, m_(l)=-1, 0, +1`. When `l=2, m=-2, -1, 0, +1, +2`
(ii) For 3d-orbital, `n=3, l=2`, For `l=2, m_(l)=-2, -1, 0, +1, +2`.
(iii) 1p is not possible because when `n=1, l=0` only (for p, l=1)
2s is possible because when `n=2, l=0, 1` (for s, l=0)
2p is possible because when `n=2, l=0, 1` (for p, l=1)
3f is not possible because when `n=3, l=0, 1, 2` (for f, l=3).