Let us consider the Zeeman Effect acting on a hydrogen spectra. For an unaffected transition from orbital 4 to orbital 2, calculate the wavelength of the light emitted. (7 significant figures If exposed to a magnetic field of great strength, the Zeeman Effect occurs. For an electron in hydrogen undergoing a transition from the 4 I to the 2 s orbital, the spectral line splits, creatin a change in wavelength for the mi = 1 and -1 states of approximately +0.0055nm. Based on this fine splitting, calculate the change in energy between the mi = 1 and the mi = 0 state. We know that the potential energy of a magnetic moment in a magnetic field is expressed: U = -µB and that the Bohr magneton (u) has a value of e*ħ/(2me). Given this value for the %3D magnetic moment, determine the strength of magnetic field the hydrogen sample has been exposed to. (Hint: it is not greater than 1 Tesla)

Let us consider the Zeeman Effect acting on a hydrogen spectra. For an unaffected transition from orbital 4 to orbital 2, calculate the wavelength of the light emitted. (7 significant figures If exposed to a magnetic field of great strength, the Zeeman Effect occurs. For an electron in hydrogen undergoing a transition from the 4 I to the 2 s orbital, the spectral line splits, creatin a change in wavelength for the mi = 1 and -1 states of approximately +0.0055nm. Based on this fine splitting, calculate the change in energy between the mi = 1 and the mi = 0 state. We know that the potential energy of a magnetic moment in a magnetic field is expressed: U = -µB and that the Bohr magneton (u) has a value of e*ħ/(2me). Given this value for the %3D magnetic moment, determine the strength of magnetic field the hydrogen sample has been exposed to. (Hint: it is not greater than 1 Tesla)

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Let us consider the Zeeman Effect acting on a hydrogen spectra. For an unaffected transition
from orbital 4 to orbital 2, calculate the wavelength of the light emitted. (7 significant figures)
If exposed to a magnetic field of great strength, the Zeeman Effect occurs. For an electron in
hydrogen undergoing a transition from the 4 I to the 2 s orbital, the spectral line splits, creating
a change in wavelength for the mi = 1 and -1 states of approximately +0.0055nm.
Based on this fine splitting, calculate the change in energy between the mi = 1 and the mi = 0
%3D
state.
We know that the potential energy of a magnetic moment in a magnetic field is expressed:
U = -µB and that the Bohr magneton (µ) has a value of e*h/(2me). Given this value for the
%D
magnetic moment, determine the strength of magnetic field the hydrogen sample has been
exposed to. (Hint: it is not greater than 1 Tesla)

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