9. For the hydrogen atom, the electron has a total energy of -13.6 eV when potential energy is defined as zero for the electron positioned at infinite. (a) Make a plot of the potential energy of the electron as a function of radial position. (b) Determine the maximum radius that the electron can reach. (c) What is the force on the electron at this radial position? (d) Write an expression and plot a graph of the electron Kinetic Energy as a function of radial position, r. (e) Determine the maximum Kinetic Energy possible for this electron and the position where this maximum is found.

9. For the hydrogen atom, the electron has a total energy of -13.6 eV when potential energy is defined as zero for the electron positioned at infinite. (a) Make a plot of the potential energy of the electron as a function of radial position. (b) Determine the maximum radius that the electron can reach. (c) What is the force on the electron at this radial position? (d) Write an expression and plot a graph of the electron Kinetic Energy as a function of radial position, r. (e) Determine the maximum Kinetic Energy possible for this electron and the position where this maximum is found.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

The Bohr model

Students often get confused between Rutherford’s model and Bohr model of an atom. They interpret the postulates of both these models to be the same, which is incorrect. Rutherford’s model differs from Bohr’s model in the following ways:

Question

9. For the hydrogen atom, the electron has a total energy of -13.6 eV when potential energy is defined as
zero for the electron positioned at infinite.
(a) Make a plot of the potential energy of the electron as a function of radial position.
(b) Determine the maximum radius that the electron can reach.
(c) What is the force on the electron at this radial position?
(d) Write an expression and plot a graph of the electron Kinetic Energy as a function of radial
position, r.
(e) Determine the maximum Kinetic Energy possible for this electron and the position where this
maximum is found.

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Step 2: Explaining the potential energy curve for the electron

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Step 3: Calculation of the maximum radius of electron

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Step 4: Calculation of the force on the electron

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Step 5: Kinetic energy of the electron

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