Zeeman Effect Problem [Maybe Simple for you]

In summary, to find the e/m ratio for the electron from the given data on Zeeman components, you can use the equation e/m = (wavelength^2 x change in frequency) / (4 x 3.14 x m x c). The "frequency" in the formula refers to the change in frequency caused by the magnetic field, not the actual frequency.
  • #1
getcarter
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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



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

The Attempt at a Solution


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

thank you very much
 
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  • #2
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.
 
  • #3
thank you very much dephi51 but i couldn't shape the equations in my mind. can you solve ?
 

1. What is the Zeeman Effect?

The Zeeman Effect is a phenomenon observed in atomic and molecular spectra where spectral lines split into multiple components in the presence of a magnetic field. This effect was first observed by Dutch physicist Pieter Zeeman in 1896.

2. How does the Zeeman Effect work?

The Zeeman Effect is caused by the interaction between the magnetic field and the magnetic dipole moment of the atoms or molecules. As the energy levels of the atoms or molecules are split into multiple components, the spectral lines also split, resulting in a more complex spectral pattern.

3. What is the significance of the Zeeman Effect?

The Zeeman Effect is significant because it provides valuable information about the structure and behavior of atoms and molecules. It also has practical applications in fields such as astronomy, where it is used to study the magnetic fields of stars and other celestial objects.

4. How is the Zeeman Effect observed?

The Zeeman Effect can be observed using spectroscopy techniques, where the spectral lines of atoms or molecules are studied under the influence of a magnetic field. The resulting spectral pattern can be analyzed to determine the strength and orientation of the magnetic field.

5. What are the different types of Zeeman Effect?

There are three types of Zeeman Effect: normal, anomalous, and inverse. Normal Zeeman Effect occurs when the spectral lines split into three components, while anomalous Zeeman Effect occurs when the spectral lines split into more than three components. Inverse Zeeman Effect occurs when the spectral lines merge into a single line in the presence of a strong magnetic field.

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