What is the Frequency of Emitted Radiation from a Moving Hydrogen Atom?

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SUMMARY

The discussion focuses on the frequency of emitted radiation from a moving hydrogen atom transitioning from an excited state n to a lower state m while emitting a photon in the direction of its motion. The problem involves calculating the frequency of the emitted radiation in relation to the frequency fo when the atom is at rest. Participants emphasize the importance of energy conservation and recoil velocity in deriving the solution. Additionally, there is a request for the source of the question, indicating a need for proper citation in academic discussions.

PREREQUISITES
  • Understanding of quantum mechanics, specifically atomic transitions
  • Familiarity with the concept of photon emission and energy conservation
  • Knowledge of special relativity, particularly the effects of velocity on emitted radiation
  • Experience with problem-solving in physics, especially in relation to hydrogen atom behavior
NEXT STEPS
  • Research the Doppler effect in photon emission from moving sources
  • Study energy conservation principles in quantum mechanics
  • Explore the relationship between atomic states and emitted photon frequencies
  • Examine textbooks on quantum mechanics for similar problems and solutions
USEFUL FOR

Students of physics, particularly those studying quantum mechanics and atomic physics, as well as educators seeking to enhance their understanding of photon emission and energy conservation principles in moving systems.

Rajanjx786
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Consider an excited hydrogen atom in state n moving with a velocity v<c. it emits a photon in the direction of its motion and changes its state to a lower state m. Find the frequency of emitted radiation in terms of frequency fo if the atom were at rest.
My approach: I tried by taking recoil velocity of atom and doing energy conservation...
Ref:q4
P_20180113_221210.jpg
 

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Rajanjx786 said:
Consider an excited hydrogen atom in state n moving with a velocity v<c. it emits a photon in the direction of its motion and changes its state to a lower state m. Find the frequency of emitted radiation in terms of frequency fo if the atom were at rest.
My approach: I tried by taking recoil velocity of atom and doing energy conservation...
Ref:q4View attachment 218387
Welcome to the PF.

Please show your detailed work on the solution. And in the future, please use the Template that you are provided when starting a new schoolwork thread here. It helps to organize your post, and its use is not optional. Thank you.
 
Rajanjx786 said:
Consider an excited hydrogen atom in state n moving with a velocity v<c. it emits a photon in the direction of its motion and changes its state to a lower state m. Find the frequency of emitted radiation in terms of frequency fo if the atom were at rest.
My approach: I tried by taking recoil velocity of atom and doing energy conservation...
Ref:q4View attachment 218387
Could you tell me which textbook this question is from?? And the answer if you got from other sources
 
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