Natural frequency of oscillating electron

In summary, the conversation discusses calculating the natural frequency and width of resonance for an oscillating electron emitting light of wavelength 510nm with a Q value of 3 x 107. The necessary equations involve finding γ and ω0, with γ being b/m and m being found in tables. The width of resonance is determined to be 2γω0. However, the value of b for an oscillating electron is unclear.
  • #1
JBBOLAND
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Homework Statement



a) Light of wavelength 510nm is emitted by an electron in an atom behaving as a lightly damped simple harmonic oscillator with a Q value of 3 x 107. Find the natural frequency of the system.

b) Find the width of the resonance.

Homework Equations



bFhKe.png

The Attempt at a Solution



Knowing the Q value means that I need to know γ in order to get ω0. Gamma is b/m and m can be found in tables, but what is b for an oscillating electron?
 
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  • #2
For part b, I know that the width of the resonance is 2γω0, but again, what is gamma for an oscillating electron?
 

FAQ: Natural frequency of oscillating electron

What is the natural frequency of an oscillating electron?

The natural frequency of an oscillating electron is the frequency at which it will naturally vibrate or oscillate without any external force acting upon it. It is a characteristic property of the electron and is determined by its mass and the strength of the electric field it is in.

How is the natural frequency of an oscillating electron related to its energy?

The natural frequency of an oscillating electron is directly proportional to its energy. This means that an increase in energy will result in an increase in the natural frequency of the electron's oscillation.

What factors affect the natural frequency of an oscillating electron?

The natural frequency of an oscillating electron is affected by its mass, the strength of the electric field it is in, and any external forces or influences acting upon it. It is also dependent on the electron's initial displacement and velocity.

Can the natural frequency of an oscillating electron be changed?

Yes, the natural frequency of an oscillating electron can be changed by altering its mass, the strength of the electric field it is in, or by applying external forces. Additionally, changes in the electron's initial displacement or velocity can also affect its natural frequency.

How is the natural frequency of an oscillating electron measured?

The natural frequency of an oscillating electron can be measured using spectroscopy techniques such as electron energy loss spectroscopy or optical spectroscopy. These methods allow for the determination of the electron's energy and natural frequency based on its interactions with photons or other particles.

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