Quantum numbers arise naturally from the mathematics used to describe the possib

Question

Quantum numbers arise naturally from the mathematics used to describe the possible states of tan electron in an atom. The four quantum numbers, the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m_l), and the spin quantum number (m_s) have strict rules which govern the possible values. Identify allowable combinations of quantum numbers for an electron. Select all that apply. N=3, l=0, m_l=0, m_s=-1/2 n=5, l=0, m_l=0, m_s=-1/2 n=1, l=1, m_l=-1, m_s=+1/2 n=2, l=1, m_l=0, m_s=+1/2 n=4, l=0, m_l=1, m_s=+1/2

Explanation / Answer

Automatically we discard fourth option, as ms values can only have values of +/- 1/2

We also discard fifth option as l values can only have positive values.

Last option is also discarded due to electrons in n = 4 and l = 0 can only have ml = 0

Third option cannot be possible as if an electron is in n = 1, it can only have a value in l of 0

So only two allowable options are the first two.

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