Zeeman Effect Problem [Maybe Simple for you]

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SUMMARY

The discussion focuses on calculating the e/m ratio for an electron using the Zeeman effect, specifically analyzing a spectral line at 500 nm with components 0.0116 nm apart in a 1.00 T magnetic field. The relevant equation provided is the separation of the Zeeman components, expressed as frequency (v) = eB/4πm. Participants emphasize the need to consider the change in frequency due to the magnetic field to derive the e/m ratio accurately. The conversation highlights the importance of manipulating the equations correctly to isolate e/m.

PREREQUISITES
  • Understanding of the Zeeman effect and its implications in spectroscopy
  • Familiarity with electromagnetic theory, particularly the Lorentz force
  • Knowledge of basic quantum mechanics, specifically electron behavior in magnetic fields
  • Proficiency in algebraic manipulation of physical equations
NEXT STEPS
  • Study the derivation of the Zeeman effect equations in detail
  • Learn about the implications of magnetic fields on atomic spectra
  • Explore the calculation of e/m ratios in various contexts, including cyclotron motion
  • Investigate advanced spectroscopy techniques that utilize the Zeeman effect
USEFUL FOR

Students in physics, particularly those studying electromagnetism and quantum mechanics, as well as educators and researchers interested in atomic spectroscopy and the Zeeman effect.

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Homework Statement



The Zeeman components of a 500 nm spectral line are 0.0116 nm apart when the magnetic field is 1.00 T.
Find the e/m ratio for the electron from these data

Homework Equations



separation of the Zeeman Components
frequency(v)=eb/4x3,14xm

The Attempt at a Solution


from here wavelength is equal = wavelength^2 x frequency / 4x3.14xmxc

thank you very much
 
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Maybe solve the formula for what you want - get it to say e/m = ...

I think the "frequency" in the formula is supposed to be the "change in frequency" caused by the magnetic field. So you have to take the difference between two frequencies.
 
thank you very much dephi51 but i couldn't shape the equations in my mind. can you solve ?
 

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