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

[Rajanjx786]

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

 

[berkeman]

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.

 

[Lord Voldemort]

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