A hydrogen atom in a particular orbital angular momentum state is found to have j quantum numbers 7/2 and 9/2. What is the letter that labels the value of l for the state?
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Step 1: Recall the relationship between the quantum numbers l and j for a hydrogen atom: j = l + s, where s is the spin quantum number (which is always 1/2 for electrons). Show more…
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A hydrogen atom in a particular orbital angular momentum state is found to have $j$ quantum numbers ${7\over2}$ and ${9\over2}$ . (a) What is the letter that labels the value of $l$ for the state? (b) If $n = 5$, what is the energy difference between the $j = {7\over2}$ and $j = {9\over2}$ levels?
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