List the values of n and l for the following orbitals:
(a) 3s (b) 4p (c ) 4f (d) 3d

Answer

To find the values of the principal quantum number (n) and the azimuthal quantum number (l) for the given orbitals, we will analyze each orbital one by one.

### Step-by-Step Solution:

1. **Identify the orbital 3s:**
- The principal quantum number (n) corresponds to the number before the letter, which indicates the energy level or shell.
- For 3s, n = 3.
- The azimuthal quantum number (l) for an s orbital is always 0.
- Therefore, for 3s:
- n = 3
- l = 0

2. **Identify the orbital 4p:**
- For 4p, the principal quantum number (n) is 4.
- The azimuthal quantum number (l) for a p orbital is 1.
- Therefore, for 4p:
- n = 4
- l = 1

3. **Identify the orbital 4f:**
- For 4f, the principal quantum number (n) is again 4.
- The azimuthal quantum number (l) for an f orbital is 3.
- Therefore, for 4f:
- n = 4
- l = 3

4. **Identify the orbital 3d:**
- For 3d, the principal quantum number (n) is 3.
- The azimuthal quantum number (l) for a d orbital is 2.
- Therefore, for 3d:
- n = 3
- l = 2

### Final Results:
- (a) 3s: n = 3, l = 0
- (b) 4p: n = 4, l = 1
- (c) 4f: n = 4, l = 3
- (d) 3d: n = 3, l = 2