What is the total energy (KE + U ) of the electron in orbit? Answer in terms of e.r and/or m.

Chemistry
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Author:Steven S. Zumdahl
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Chapter7: Atomic Structure And Periodicity
Section: Chapter Questions
Problem 143AE: Are the following statements true for the hydrogen atom only, true for all atoms, or not true for...
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  1. What is the total energy (KE + U ) of the electron in orbit? Answer in terms of e.r and/or m.
4. The Bohr model (Neils Bohr, 1913) treats the hydrogen atom as a minature solar system. Although the model is
incorrect it provided early insight into the quantum mechanics of atoms. Assume the electron (mass m, charge -e)
is in a circular orbit of radius r around the proton (charge +e, mass M). M » m so the proton is stationary.
From Physics 211, a object moving in a circle at constant speed will experience a centripetal acceleration v2 /r
directed toward the center of the circle. Use circular motion dynamics to determine the speed of the electron in
orbit. Answer in terms of r, e, m and/or M. Gravitational forces are negligible at the atomic level.
а.
b. What is the kinetic energy of the electron in orbit? Answer in terms of e,r and/or m.
Transcribed Image Text:4. The Bohr model (Neils Bohr, 1913) treats the hydrogen atom as a minature solar system. Although the model is incorrect it provided early insight into the quantum mechanics of atoms. Assume the electron (mass m, charge -e) is in a circular orbit of radius r around the proton (charge +e, mass M). M » m so the proton is stationary. From Physics 211, a object moving in a circle at constant speed will experience a centripetal acceleration v2 /r directed toward the center of the circle. Use circular motion dynamics to determine the speed of the electron in orbit. Answer in terms of r, e, m and/or M. Gravitational forces are negligible at the atomic level. а. b. What is the kinetic energy of the electron in orbit? Answer in terms of e,r and/or m.
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