Consider the Bohr model of the doubly ionized lithium ion (3 protons) with a single electron. The ground state energy is -122.4 evWhat is the kinetic energy for the electron in orbit?eVWrite down the relationship between the kinetic energy K, the momentump and the mass mK=write your answer as a formula, e.g. z=x^4/3yUse these to find the de Broglie wavelength of the electron in this orbit:The de Broglie wavelength isnmIf the electron is actually a standing wave, what radius does this suggest for the electron's orbit?ro =nmAssuming 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 isOze?/(4tte ro)Ze2/ (4πε ro)O-ze?/(8te ro)Oze/ (8πε r0)The kinetic energy isΟze2/ (4πε r0 )Ο-Ze2/ (4πε r0)O-Ze2/(8ne r0)Οze2/ (8πε r0)The total energy isOze2/ (4πε r )O-Ze2/(4ne r0)O-Ze2/(8te r0)OZe2/ (8πε r0)Hence the total energy isev

Given , The ground state energy is -122.4 eV

Answered: Consider the Bohr model of the doubly…

University Physics Volume 3

17th Edition

ISBN:9781938168185

Author:William Moebs, Jeff Sanny

Publisher:William Moebs, Jeff Sanny

Chapter7: Quantum Mechanics

Section: Chapter Questions

Problem 38P: Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen...

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An electron in a box is in the ground state with energy 2.0 eV. (a) Find the width of the box. (b) How much energy is needed to excite the electron to its first excited state? (c) If the electron makes a transition from an excited state to the ground state with the simultaneous emission of 30.0-eV photon, find the quantum number of the excited state?
Suppose an electron is confined to a region of length 0.1 nm (of the order of the size of a hydrogen atom) and its kinetic energy is equal to the ground state energy of the hydrogen atom in Bohr's model (13.6 eV). (a) What is the minimum uncertainty of its momentum? What fraction of its momentum is it? (b) What would the uncertainty in kinetic energy of this electron be if its momentum were equal to your answer in part (a)? What fraction of its kinetic energy is it?
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