Lazy Electron in Hydrogen Atom · Physics Brawl 2019 #FoL.17

Physics · modern-physics

Problem

Consider the Bohr model of a hydrogen atom – a positively charged nucleus with charge e=1.6⋅10−19e = 1.6 \cdot 10^{-19} C and an orbiting electron with the opposite charge and a much smaller mass me=9.1⋅10−31m_e = 9.1 \cdot 10^{-31} kg. What would be the radius of the hydrogen atom (in kilometers) if the period of one orbit of the electron took one day? Do not consider the fact that the hydrogen atom could not exist in such a state (or could it...?).

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