Consider the Bohr model of the doubly ionized lithium ion (3 protons) with a single electron. The ground state energy is -122.4 ev What is the kinetic energy for the electron in orbit? eV Write down the relationship between the kinetic energy K, the momentum p and the mass m K= write your answer as a formula, e.g. z=x^4/3y Use these to find the de Broglie wavelength of the electron in this orbit: The de Broglie wavelength is nm If the electron is actually a standing wave, what radius does this suggest for the electron's orbit? ro = nm Assuming classical uniform circular motion for the electron in the Coulomb potential at the radius computed above, what is the total energy of the atom? The potential energy is Oze?/(4Tte ro) O-ze?/(4ne ro) O-ze?/(8te ro) OZe?/(8Tte ro) The kinetic energy is Οze2/ (4πε r ) Ο Ze2/ (4πε r ) Ο-Ze2/(8πε r ) ΟZe2/ (8πε r) The total energy is Οze2/ (4πε r0) Ο-Ze2/ (4πε ro) O-Ze2/(8nɛ r0) Οze2/ (8πε r0) Hence the total energy is ev

Consider the Bohr model of the doubly ionized lithium ion (3 protons) with a single electron. The ground state energy is -122.4 ev What is the kinetic energy for the electron in orbit? eV Write down the relationship between the kinetic energy K, the momentum p and the mass m K= write your answer as a formula, e.g. z=x^4/3y Use these to find the de Broglie wavelength of the electron in this orbit: The de Broglie wavelength is nm If the electron is actually a standing wave, what radius does this suggest for the electron's orbit? ro = nm Assuming classical uniform circular motion for the electron in the Coulomb potential at the radius computed above, what is the total energy of the atom? The potential energy is Oze?/(4Tte ro) O-ze?/(4ne ro) O-ze?/(8te ro) OZe?/(8Tte ro) The kinetic energy is Οze2/ (4πε r ) Ο Ze2/ (4πε r ) Ο-Ze2/(8πε r ) ΟZe2/ (8πε r) The total energy is Οze2/ (4πε r0) Ο-Ze2/ (4πε ro) O-Ze2/(8nɛ r0) Οze2/ (8πε r0) Hence the total energy is ev

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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