Answer:
(a) 6g. Shell 6, n = 6. Subshell g, l = 4. Number of orbitals in sublevel = 9
(b) 4s. Shell 4, n = 4. Subshell s, l = 0. Number of orbitals in sublevel = 1
(c) 3d. Shell 3, n = 3. Subshell d, l = 2. Number of orbitals in sublevel = 5
Explanation:
The rules for electron quantum numbers are:
1. Shell number, 1 ≤ n, n = 1, 2, 3...
2. Subshell number, 0 ≤ l ≤ n − 1, orbital s - 0, p - 1, d - 2, f - 3
3. Orbital energy shift, -l ≤ ml ≤ l
4. Spin, either -1/2 or +1/2
So,
(a) 6g. Shell 6, n = 6. Subshell g, l = 4. Number of orbitals in sublevel = 2l+1 = 9
(b) 4s. Shell 4, n = 4. Subshell s, l = 0. Number of orbitals in sublevel = 2l+1 = 1
(c) 3d. Shell 3, n = 3. Subshell d, l = 2. Number of orbitals in sublevel = 2l+1 = 5