Why is it necessary for the spins of two electrons that occupy one orbital, to be in the opposite directions? What is that law called

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter11: Quantum Mechanics: Model Systems And The Hydrogen Atom
Section: Chapter Questions
Problem 11.77E: What is the probability of finding an electron in the 1s orbital within 0.1A of a hydrogen nucleus?
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Why is it necessary for the spins of two electrons that occupy one orbital, to be in the opposite directions? What is that law called

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