Masteringphysics With Pearson Etext - Valuepack Access Card - For College Physics
Masteringphysics With Pearson Etext - Valuepack Access Card - For College Physics
10th Edition
ISBN: 9780321976932
Author: YOUNG
Publisher: PEARSON
Question
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Chapter 29, Problem 3P

(a)

To determine

What are the possible values of L and Lz ?

(b)

To determine

What are the angles L makes with z axis?

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It may be argued on theoretical grounds that the radius of the hydrogen atom should depend only on the fundamental constants h, e, the electrostatic force constant k = 1/4πℰ0, and m (the electron’s mass). Use dimensional analysis to show that the combination of these factors that yields a result with dimensions of length is h2kme2.
As per Bohr model of a hydrogen atom for a stable orbit centripetal, Coulomb, and all forces should be in equilibrium. Therefore, for an electron with mass me and speed v₁ on the nth orbit with radius rn, (k being Coulomb/s constant) mevn = ke²/rn mevn² = ke²/rn mevn²/rn = ke²/rn 2.2 Ome²v² = ke²/r²
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