Quick Question About Photon Entering Atom

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For a photon to be absorbed by an atom, its energy must match the energy difference between the atom's current state and a higher energy state. In the example provided, the photon with an energy of 5.86 eV cannot be absorbed since it does not correspond exactly to the energy levels of 5.74 eV or 5.96 eV. However, if the excess energy can be utilized in other forms, such as molecular vibrations, absorption may still occur. This concept relates to phenomena like fluorescence and Raman scattering. Ultimately, precise energy matching is crucial for photon absorption in atomic transitions.
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Homework Statement


A photon enters an atom in the ground state. I have the energies to get to the next level.

My question is, does the photon have to be the exact energy to get to the next level before it is absorbed, or can the atom absorb it and go up those few levels and.. sort of store the extra energy until it either goes back to ground state and emits the photon or moves up again?

Example: A photon is entering that has an energy of 5.86 eV
E3 ----------- 5.96eV

E2 ----------- 5.74eV

Ground state -- 0 eV

Can the photon be absorbed, or would it have to be either 5.74 eV or 5.96 eV to be absorbed?
*Note, those numbers were made up and probably violate many laws of physics. :)
 
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No for the photon to be absorbed, the change in the energy levels must be the same as the energy the photon possesses.
 
If the excess energy can go into something else, like molecular vibrations, then it is possible that it could get absorbed. This would be the idea behind fluorescence, Raman scattering, Stokes and anti-Stokes shifts.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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