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

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

Chemistry by OpenStax (2015-05-04)
Chemistry by OpenStax (2015-05-04)
1st Edition
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Chapter2: Atoms, Molecules, And Ions
Section: Chapter Questions
Problem 9E: Predict and test the behavior of a particles fired at a Rutherford atom model. Predict the paths...
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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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