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Problem 43 Easy Difficulty

How many different values of $m_{\ell}$ are possible when the principal quantum number is $n=5 ?$

Answer

9

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Top Physics 103 Educators
Marshall S.

University of Washington

Farnaz M.

Simon Fraser University

Zachary M.

Hope College

Meghan M.

McMaster University

Video Transcript

in this problem. We hell respect quantum number, equal toe fire. So we have an equal to five. And if you want to fine, different values off Magnetic quantum Number s well that our little quantum number takes the values from zero toe and minus one. So here we have and he's five. So the radio's off. Add little quantum number are zero 12 three and five minus one is four and we also know that magnetic quantum number takes the world was from minus l two. But listen, including the value zero. So what the hell? The values off magnetic wand a member are minus l minus Helpless one. So 01 and L minus one and a final value is l So for L. A is equal zero. We held magnetic quantum numbers equal to zero. For physical to one, we held magnetic wanted number, the physical toe minus one zero and one for our little quantum number equal to do. We held the values off. Magnetic quarter number are minus two minus 10 Bless one and plus two For political tree. We heal magnetic quantum number equal toe minus three minus two minus one zero plus one plus two and plus you and for elliptical before we have magnetic on. Remember, equal toe minus four minus three minus true minus 10 Bless. One plus two plus three and plus four. So ml again did nine. Well, it was from minus 42 Bless for for quantum, our principal quantum number equals toe five.

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Top Physics 103 Educators
Marshall S.

University of Washington

Farnaz M.

Simon Fraser University

Zachary M.

Hope College

Meghan M.

McMaster University