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Problem 58 Medium Difficulty

Determine the number of different sets of quantum numbers possible for each of the following shells: (a) $n=2,$ (b) $n=3,$ (c) $n=4$.

Answer

a) 8
b) 18
c) 32

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Top Physics 103 Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Aspen F.

University of Sheffield

Video Transcript

in this problem. We want to do your mind. A number of different sets off. Quantum numbers possible for Isaac. Got to do and physical tree on dhe and physical to four. Now, in the first part, the hell principal quantum number equal Do I do for an ethical two to Rio? Do we know who's off? Orbital quantum number. That is zero and one for a physical. Zero Rio number off. Total sitters. Is it going to through in tow? Two helpless one, which is a couple in tow here. L zero plus one. So which is it? Cool, too. I do. For a physical one. We have number off total sitters. Is it gonna do brilliant toe to l plus one here. At least one. So we have goingto three, which is a good oh six. So total number off secure. Safar. Mm two. Is it called Tau Coppola Six. But is it going Toe X? So there are total instant The little air stairs in principal. Quantum number two. No, in the second part. Well, and musical too. Three for physical three. We have political to zero one, and it do? Yes. You know, Eric takes the values from zero to and minus one for any physical zero. The hell number upstairs is you control goingto well plus one. Hear Ellie's zero plus one. So we have go downstairs for energy. Grid zero is two so far, and he's a good one. We have a number off stairs. Is it gonna do goingto well, plus one here, at least one. Well, that's one. So we have stairs equal to six. So far. Elliptical to do. We have number of stairs, equal toe do in tow. Well, plus one here. And it's true. Less one. So we have number upstairs because toe don't so far. And is it going to three? Don't, don't. No more off stairs, is you, Kal Toh? Through Plus six plus Done. Which is it, Kal Toh there, Dean? No, In the sea. Part off the problem we have. And is it control for Or any physical before we hell l equal to 01 I do three. So for Ellie called three number off security vehicle. Go. Go into well. Plus one here. And the three plus one, which is you can't go. Go into six. A plus one is your control. 14 So for a musical do for Don't the number off stairs Physical toe for anything? Pajero. We have number upstairs. He's toe. Plus, Pharrell is a good one. We have number. Upstairs is six for Ellie called. Do we have number upstairs to his 10. And for Ellie, call to 14. L equal to four. We have number. Upstairs is 14. So buy a ring. These numbers we help, but a longer upstairs for an equal before is 32.

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Top Physics 103 Educators
Elyse G.

Cornell University

Andy C.

University of Michigan - Ann Arbor

Marshall S.

University of Washington

Aspen F.

University of Sheffield