What of the following sets of quantum numbers are not possible?
(i) n = 3, l = 2, m = 0, s = `-1//2` (ii) n = 3, l = 2, `m = -2, s = -1//2`
(iii) `n = 3, l = 3, m = -3, s = +1//2` (iv) `n = 3, l = 1, m = 0, s + 1//2`

Explanation

To determine which sets of quantum numbers are not possible, we need to analyze each set based on the rules governing quantum numbers. Quantum numbers consist of four values: principal quantum number (n), azimuthal quantum number (l), magnetic quantum number (m), and spin quantum number (s).

1. **Principal Quantum Number (n)**: This can take any positive integer value (1, 2, 3,...).
2. **Azimuthal Quantum Number (l)**: This can take values from 0 to (n-1).
3. **Magnetic Quantum Number (m)**: This can take values from -l to +l.
4. **Spin Quantum Number (s)**: This can take values of +1/2 or -1/2.

Now, let's analyze each option:

### Option (i): n = 3, l = 2, m = 0, s = -1/2
- For n = 3, l can be 0, 1, or 2. (Valid)
- For l = 2, m can be -2, -1, 0, 1, or 2. (Valid)
- s can be +1/2 or -1/2. (Valid)

**Conclusion**: This set of quantum numbers is possible.

### Option (ii): n = 3, l = 2, m = -2, s = -1/2
- For n = 3, l can be 0, 1, or 2. (Valid)
- For l = 2, m can be -2, -1, 0, 1, or 2. (Valid)
- s can be +1/2 or -1/2. (Valid)

**Conclusion**: This set of quantum numbers is possible.

### Option (iii): n = 3, l = 3, m = -3, s = +1/2
- For n = 3, l can be 0, 1, or 2. (Invalid, because l = 3 is not allowed for n = 3)

**Conclusion**: This set of quantum numbers is not possible.

### Option (iv): n = 3, l = 1, m = 0, s = +1/2
- For n = 3, l can be 0, 1, or 2. (Valid)
- For l = 1, m can be -1, 0, or 1. (Valid)
- s can be +1/2 or -1/2. (Valid)

**Conclusion**: This set of quantum numbers is possible.

### Final Answer:
The set of quantum numbers that is not possible is **(iii) n = 3, l = 3, m = -3, s = +1/2**.