Consider a simple hydrogen atom where an electron orbits around a proton. Suppose a small magnetic field is applied perpendicularly to the plane of orbit. Show that if the orbit radius does not change, then the angular velocity of the electron would change by eB 2m Δω = ΕΞ

Consider a simple hydrogen atom where an electron orbits around a proton. Suppose a small magnetic field is applied perpendicularly to the plane of orbit. Show that if the orbit radius does not change, then the angular velocity of the electron would change by eB 2m Δω = ΕΞ

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter6: Photons And Matter Waves

Section: Chapter Questions

Problem 161AP: Consider a hydrogen-like ion where an electron is orbiting a nucleus that has charge q=+Ze. Derive...

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Question

Consider a simple hydrogen atom where an electron orbits around a
proton. Suppose a small magnetic field is applied perpendicularly to the plane of
orbit. Show that if the orbit radius does not change, then the angular velocity of the
electron would change by
eB
Aw===
2m

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