Which of the following is not possible ?

Options

A. `n=3,l=2,m=0`
B. `n=1,l=0,m=0`
C. `n=3,l=3,m=2`
D. `n=4,l=3,m=-3`

Explanation

To determine which set of quantum numbers is not possible, we need to analyze each set based on the rules governing quantum numbers. Quantum numbers include the principal quantum number (N), azimuthal quantum number (L), and magnetic quantum number (M).

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- **Principal Quantum Number (N)**: Indicates the main energy level or shell. It can take positive integer values (1, 2, 3, ...).
- **Azimuthal Quantum Number (L)**: Indicates the subshell and can take values from 0 to (N-1).
- L = 0 corresponds to s subshell
- L = 1 corresponds to p subshell
- L = 2 corresponds to d subshell
- L = 3 corresponds to f subshell
- **Magnetic Quantum Number (M)**: Indicates the orientation of the orbital and can take values from -L to +L, including 0.

2. **Analyzing Each Set of Quantum Numbers**:
- **Option A**: N = 3, L = 2, M = 0
- N = 3 allows L values of 0, 1, 2 (valid).
- L = 2 corresponds to a d subshell, and M can be -2, -1, 0, +1, +2 (valid).
- **Conclusion**: This set is possible.

- **Option B**: N = 1, L = 0, M = 0
- N = 1 allows L values of 0 (valid).
- L = 0 corresponds to an s subshell, and M can only be 0 (valid).
- **Conclusion**: This set is possible.

- **Option C**: N = 3, L = 3, M = 2
- N = 3 allows L values of 0, 1, 2 (invalid because L cannot equal N).
- **Conclusion**: This set is not possible.

- **Option D**: N = 4, L = 3, M = -3
- N = 4 allows L values of 0, 1, 2, 3 (valid).
- L = 3 corresponds to an f subshell, and M can be -3, -2, -1, 0, +1, +2, +3 (valid).
- **Conclusion**: This set is possible.

3. **Final Conclusion**:
- The only set of quantum numbers that is not possible is **Option C**: N = 3, L = 3, M = 2.

### Summary:
The answer to the question "Which of the following is not possible?" is **Option C**.