University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 41 - Quantum Mechanics II: Atomic Structure - Problems - Exercises - Page 1402: 41.9

Answer

$l=4$.

Work Step by Step

Relate the magnitude of the orbital angular momentum L to the quantum number $l$ by Eq. (41.22): $L=\sqrt{l(l+1)}\hbar$. The value of L is given, so we solve for $l(l+1)=20$. Since $l$ is an integer, $l=4$.
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