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From the following sets of quantum numb...

From the following sets of quantum numbers , state which are possible ?
(i) `n=0,l=0,m_(l)=1,m_(s)= +1//2`
(ii) `n=2,l=1,m_(l)=0,m_(s) = -1//2`
(iii) `n=2, l=0,m_(1)=3,m_(s) = +1//2`
(iv) `n=3,l=1,m_(l)=0,m_(s) = +1//2`

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To determine which sets of quantum numbers are possible, we need to analyze each set based on the rules governing quantum numbers: 1. **Principal Quantum Number (n)**: This number can take positive integer values (n = 1, 2, 3,...). It cannot be zero. 2. **Azimuthal Quantum Number (l)**: This number can take integer values from 0 to (n-1). Thus, for a given n, l can be 0, 1, 2,... up to (n-1). 3. **Magnetic Quantum Number (m_l)**: This number can take integer values from -l to +l, including zero. Therefore, m_l can range from -l to +l. 4. **Spin Quantum Number (m_s)**: This number can take values of +1/2 or -1/2. Now, let's analyze each set of quantum numbers step by step: ...
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