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how did bohr explain how the electrons could orbit around the nucleus
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this is tough to explain.. basically he measured angular momenta of the revolving electrons. he balanced these with the electrical attraction force between individual electron & the nucleus. it explained an electron releases a discrete amount of energy as it releases it the form of light of a certain wavelength as it falls back (towards the nucleus) to an "orbit" of lower energy. you should look up videos on this, I'm sure youtube has a bunch
Bohr said that electrons move about the nucleus in circular orbits, but only certain orbits are allowed. Also the differences between these orbits are hf=E(upper)-E(lower).
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