In Bohr's hydrogen model, the electrons move in a circular orbit around the proton and its momentum is quantized according to mvr = nℏ where m is the electron mass, v is the speed of the electron and r is the orbital radius. a) Start from the quantized momentum and determine the relationship between the circumference of the electron orbit by the wavelength of the electron de Broglie. b) the gravitational force between protons and electrons is negligible compared to the Coulomb force. Start from it and the expression for the quantized momentum and produce an expression for the kinetic energy of the electron in an orbital n. The expression for the Chinese energy must contain the physical constants m, e, ∈0  and h.

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Chapter1: Units, Trigonometry. And Vectors
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In Bohr's hydrogen model, the electrons move in a circular orbit around the proton and its momentum is quantized according to

mvr = nℏ
where m is the electron mass, v is the speed of the electron and r is the orbital radius.

a) Start from the quantized momentum and determine the relationship between the circumference of the electron orbit by the wavelength of the electron de Broglie.
b) the gravitational force between protons and electrons is negligible compared to the Coulomb force. Start from it and the expression for the quantized momentum and produce an expression for the kinetic energy of the electron in an orbital n. The expression for the Chinese energy must contain the physical constants m, e, ∈0  and h.

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