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A problem when trying to compare electromagnetism with gravity
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[QUOTE="Myslius, post: 6508895, member: 260691"] For an electron "hovering at Bohr's radius", escape energy would be E2 = 27.2 eV, but since electron can't stand still and is orbiting with E_orbital = 13.6 eV, It takes another 13.6. eV to kick electron out, if the light hits at correct angle? Is that correct? According to orbital mechanics, E1 angle is the most optimal angle to boost velocity for escape trajectory (picture below). I have a following question. How does that work with spectral lines? Spectral lines are quite narrow, electron could be in any orientation relative to the photon. And another question is about Compton scattering. [IMG]https://wikimedia.org/api/rest_v1/media/math/render/svg/b1b6e8ca5e430737ba11a64be00aea46e8c37149[/IMG] When a photon hits an electron, only small fraction of energy is transferred to the electron, this is because energy and momentum must be conserved. When a photon with 13.6 eV hits an electron, only 13.6eV/18787=0.000723eV of energy is transferred. The photon bounces with 99.99% of initial energy back. Now, here's an interesting thought, maybe 13.6eV only looks like 13.6eV, but what would happen if E1 is actually 13.6eV*18787=0.25MeV? from the Compton formula we get, that a photon disappears, because it transfers every bit of energy on perfect collision. E_final - E_initial = electron's mass = 0.25MeV. Electron is emitted. which is not 13.6eV, and we actually see 0.5MeV (electron) outside from the nucleus. (I'm missing 2 somewhere here again, i know i need to contemplate more and to order my thoughts more precise, but if you have any insights corrections let me know) The case that I'm talking about is when the bottom of Compton scattering formula looks like: 1 + (0.5 * (1+1)), E_final/E_initial=2, and angle is pi. It looks like h in E=hf is a quite off. I know this is far fetched, but that's what i get when i look at Compton scattering and Bohr's model. Also it looks like E1 is facing the opposite direction. I'm not sure h is off, might be c because not in vacuum, might be coulomb's constant, maybe particle masses. Any ideas? How to resolve Compton scattering in the Bohr model? [ATTACH type="full" alt="Screenshot 2021-06-28 at 16.30.05.png"]285177[/ATTACH] [/QUOTE]
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A problem when trying to compare electromagnetism with gravity
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