Which of the following sets of quantum numbers represents an impossible arrangement?

Options

A. `n=3 ,l=2 ,m= -2,s=+1//2 `
B. `n=4 ,l=0 ,m= 0,s=+1//2 `
C. `n=3 ,l=2 ,m= -3,s=+1//2 `
D. `n=5 ,l=3 ,m= 0,s=+1//2 `

Explanation

To determine which set of quantum numbers represents an impossible arrangement, we need to analyze each set based on the rules governing quantum numbers.

### Step-by-Step Solution:

1. **Understanding Quantum Numbers**:
- The principal quantum number \( n \) can take positive integer values: \( n = 1, 2, 3, \ldots \)
- The azimuthal quantum number \( l \) can take values from \( 0 \) to \( n-1 \).
- The magnetic quantum number \( m \) can take values from \( -l \) to \( +l \).
...