University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 7, Problem 68P
A mass of 0.250 kg oscillates on a spring with the force constant 110 N/m. Calculate the ground energy level and the separation between the adjacent energy levels. Express the results in joules and in electron-volts. Are quantum effects important?
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A wooden block with mass 0.250 kg is oscillating on the end of a spring that has force constant 110 N/m. Calculate the ground-level energy and the energy separation between adjacent levels. Express your results in joules and in electron volts. Are quantum effects important?
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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 momentump 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)
Ze2/ (4πε ro)
O-ze?/(8te ro)
Oze/ (8πε r0)
The kinetic energy is
Οze2/ (4πε r0 )
Ο-Ze2/ (4πε r0)
O-Ze2/(8ne r0)
Οze2/ (8πε r0)
The total energy is
Oze2/ (4πε r )
O-Ze2/(4ne r0)
O-Ze2/(8te r0)
OZe2/ (8πε r0)
Hence the total energy is
ev
Chapter 7 Solutions
University Physics Volume 3
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