What Happens When Photons Interact with Hydrogen Atoms?

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When a hydrogen atom is bombarded by photons with an energy of 15 eV, the incoming photon frequency can be calculated using E=hf after converting 15 eV to Joules. The energy levels of the hydrogen atom are given by En= -(13 eV)/(n^2), and for n=1,2,3, the energy levels must be determined in Joules. If the photon energy exceeds the energy level of the atom, the electron can be ionized, and the maximum kinetic energy of the emerging electron is the difference between the photon energy and the ionization energy. The speed of the emerging electrons can be calculated using the kinetic energy formula 1/2mv^2. Understanding these principles is essential for studying photon interactions with hydrogen atoms.
jezse
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please help me study by answering a few questions.

consider a hydrogen atom with energy levels En= -(13 eV)/(n^2)

this atom is bombarded by photons of E = 15 eV.

What is the incoming photon frequency?

What are possible kinetic energies and speeds of the emerging electrons?

What is the maximun kinetic energy the electon can have?

I'd appreciate any help.
 
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Originally posted by jezse
please help me study by answering a few questions.

consider a hydrogen atom with energy levels En= -(13 eV)/(n^2)

this atom is bombarded by photons of E = 15 eV.

What is the incoming photon frequency?

What are possible kinetic energies and speeds of the emerging electrons?

What is the maximun kinetic energy the electon can have?

I'd appreciate any help.

This sounds like it should be in the HWK section...

Anyway, convert 15eV into Joules and then use E=hf to calculate the frequency. Then for n=1,2, 3 etc calculate the energy levels of the Hydrogen atom (stick with Joules, not eV as it may help later).
For levels of less energy than our 15eV photon has, the electron will be ionised by the photon. The difference in energy between the photon energy and the energy level gives the KE of the emerging electron. Use 1/2mv^2 to calculate the velocities.
 
sorry new to the board, didn't realize there was a HW section. thanks for your help.
 
No problem! :smile:

And welcome to the Physics Forum.
 

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