Explain , giving reason , which of the following sets of quantum number are not possible `{:(a,n= 0 ,l = 0, m_(1) = 0, m_(s) = +1//2),(b,n= 1 ,l = 0, m_(1) = 0, m_(s) = -1//2),(c,n= 1 ,l = 1, m_(1) = 0, m_(s) = +1//2),(d,n= 2 ,l = 1, m_(1) = 0, m_(s) = -1//2),(e,n= 3 ,l = 3, m_(1) = -3, m_(s) = +1//2),(f,n= 3 ,l = 1, m_(1) = 0, m_(s) = +1//2):}`

Explanation

To determine which sets of quantum numbers are not possible, we need to understand the rules governing quantum numbers:

1. **Principal Quantum Number (n)**: This can take any positive integer value (n = 1, 2, 3,...). It cannot be zero.
2. **Azimuthal Quantum Number (l)**: This can take integer values from 0 to (n-1). Therefore, l must always be less than n.
3. **Magnetic Quantum Number (ml)**: This can take integer values from -l to +l, including zero.
4. **Spin Quantum Number (ms)**: This can only take two values: +1/2 or -1/2.

Now, let's analyze each set of quantum numbers provided in the question:
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