derivation of Bohr's equation of electron hydrogen atom
Answers
in an hydrogen atom, the centripetal force is being supplied by the coulomb force between it and the proton in the hydrogen nucleus.
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Remember that Z represents the atomic number (the number of protons), that electrons and protons have the same magnitude charge, ±e, and that a negative Felectrostatic merely means that the electrostatic force is attractive. Also note that the values of vn of rn are unknowns in this equation.
As a means of evaluating these two unknowns, Bohr first hypothesized that the electron's angular momentum was quantized.
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Upon solving the angular momentum equation for vn, substituting it into the centripetal force equation yields the following expression for rn.
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For a ground state hydrogen electron,
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or approximately half of an Angstrom.
hope it helps
