How do the two components of the wavefunction relate to the nodes of the wavefunction?

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter10: Introduction To Quantum Mechanics
Section: Chapter Questions
Problem 10.34E
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How do the two components of the wavefunction relate to the nodes of the wavefunction?

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