Bohr’s model of the atom of hydrogen can be compared to the Earth-Moon system. In this analogy, the role of the Earth is played by the proton and the Moon by the electron, and the gravitational attraction is replaced by the electrostatic one. The mean distance between an electron and a proton in the atom is approximately 0.5 ×10−10m. (a) Given this model, what would be the frequency of rotation of the electron around the proton? Compare this to the frequency of visible light. (b) What is the speed of the electron in this orbit? Is electrostatics a good approximation in this case? Is it appropriate to use non-relativistic mechanics?
this analogy, the role of the Earth is played by the proton and the Moon by the electron, and
the gravitational attraction is replaced by the electrostatic one. The mean distance between
an electron and a proton in the atom is approximately 0.5 ×10−10m.
(a) Given this model, what would be the frequency of rotation of the electron around the
proton? Compare this to the
(b) What is the speed of the electron in this orbit? Is electrostatics a good approximation
in this case? Is it appropriate to use non-relativistic mechanics?
We need to calculate the frequency of rotation of the electron around the proton. Also, we need to comment on the speed of the electron.
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