Attraction between an electron and a proton
The gravitational attraction between an electron and a proton in a hydrogen atom is weaker than the coulomb attraction by a factor of about 10-40. An alternative way of looking at this fact is to estimate the radius of the first Bohr orbit of a hydrogen atom if the electron and proton were bound only by gravitational attraction.
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The radius of the nth orbit of the hydrogen atom using Bohr's model ...
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Derivation of the required equations included in the attachment. Easy to understand solution.
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