Physical Science (12th Edition), Standalone Book
12th Edition
ISBN: 9781260150544
Author: Bill W. Tillery
Publisher: McGraw Hill Education
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Chapter 8, Problem 7PEA
To determine
The velocity of an electron.
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A free electron moving along the x-direction (one for which V(x) = 0) would have a wave
function of the form
f(x) = A eikx + B e−ikx
where A and B are constants.
(a) If the wavelength of this wave function (in radians) equals the de Broglie wavelength of
the electron, and its velocity, v = 8.40 × 10² m/sec, what is the value of k (in nm¯¹)?
Express your answer in scientific notation with three significant figures.
(b) The Hamiltonian operator for a free electron is given by
p²
ħ² d²
Ĥ
2me
2me dx²
The wave function provided at the top is an eigenstate of Â. If one measures the energy
for an electron in this state using Â, what would be the result, and how does it compare
to the classical kinetic energy of a free electron with this velocity?
A free electron moving along the x-direction (one for which V(x) = 0) would have a wave
function of the form
f(x) = A eikx + Be -ikx
where A and B are constants.
(a) If the wavelength of this wave function (in radians) equals the de Broglie wavelength of
the electron, and its velocity, v = 8.40 x 10² m/sec, what is the value of k (in nm-¹)?
Express your answer in scientific notation with three significant figures.
(b) The Hamiltonian operator for a free electron is given by
ħ² d²
p²
2me
2m₂ dx²
The wave function provided at the top is an eigenstate of Â. If one measures the energy
for an electron in this state using Â, what would be the result, and how does it compare
to the classical kinetic energy of a free electron with this velocity?
Ĥ =
=
A hydrogen atom transitions from the n = 8 excited state to the n = 4 excited state, emitting a photon.
(a) What is the energy, in electron volts, of the photon emitted by the hydrogen atom? eV(b) What is the wavelength of the photon emitted by the hydrogen atom? m(c) What is the frequency of the photon emitted by the hydrogen atom? Hz
Chapter 8 Solutions
Physical Science (12th Edition), Standalone Book
Ch. 8 - Prob. 1ACCh. 8 - Prob. 2ACCh. 8 - Prob. 3ACCh. 8 - 4. Millikan measured the charge on oil droplets...Ch. 8 - Prob. 5ACCh. 8 - Prob. 6ACCh. 8 - Prob. 7ACCh. 8 - Prob. 8ACCh. 8 - Prob. 9ACCh. 8 - Prob. 10AC
Ch. 8 - Prob. 11ACCh. 8 - Prob. 12ACCh. 8 - Prob. 13ACCh. 8 - Prob. 14ACCh. 8 - Prob. 15ACCh. 8 - Prob. 16ACCh. 8 - Prob. 17ACCh. 8 - Prob. 18ACCh. 8 - Prob. 19ACCh. 8 - Prob. 20ACCh. 8 - Prob. 21ACCh. 8 - Prob. 22ACCh. 8 - Prob. 23ACCh. 8 - Prob. 24ACCh. 8 - Prob. 25ACCh. 8 - Prob. 26ACCh. 8 - 27. Elements that have properties of both the...Ch. 8 - Prob. 28ACCh. 8 - Prob. 29ACCh. 8 - Prob. 30ACCh. 8 - Prob. 31ACCh. 8 - Prob. 32ACCh. 8 - Prob. 33ACCh. 8 - Prob. 34ACCh. 8 - Prob. 35ACCh. 8 - Prob. 36ACCh. 8 - Prob. 37ACCh. 8 - Prob. 38ACCh. 8 - Prob. 39ACCh. 8 - Prob. 40ACCh. 8 - Prob. 41ACCh. 8 - Prob. 42ACCh. 8 - Prob. 43ACCh. 8 - Prob. 44ACCh. 8 - Prob. 45ACCh. 8 - Prob. 46ACCh. 8 - Prob. 47ACCh. 8 - Prob. 48ACCh. 8 - Prob. 49ACCh. 8 - Prob. 1QFTCh. 8 - Prob. 2QFTCh. 8 - Prob. 3QFTCh. 8 - Prob. 4QFTCh. 8 - Prob. 5QFTCh. 8 - Prob. 6QFTCh. 8 - Prob. 7QFTCh. 8 - Prob. 8QFTCh. 8 - Prob. 9QFTCh. 8 - Prob. 10QFTCh. 8 - Prob. 11QFTCh. 8 - Prob. 12QFTCh. 8 - Prob. 1FFACh. 8 - Prob. 2FFACh. 8 - Prob. 3FFACh. 8 - Prob. 4FFACh. 8 - Prob. 5FFACh. 8 - Prob. 6FFACh. 8 - Prob. 1PEACh. 8 - Prob. 2PEACh. 8 - Prob. 3PEACh. 8 - Prob. 4PEACh. 8 - Prob. 5PEACh. 8 - Prob. 6PEACh. 8 - Prob. 7PEACh. 8 - Prob. 8PEACh. 8 - Prob. 9PEACh. 8 - Prob. 10PEACh. 8 - Prob. 11PEACh. 8 - Prob. 12PEACh. 8 - Prob. 13PEACh. 8 - Prob. 14PEACh. 8 - Prob. 15PEACh. 8 - Prob. 16PEACh. 8 - Prob. 17PEACh. 8 - Prob. 18PEACh. 8 - Prob. 19PEACh. 8 - Prob. 1PEBCh. 8 - Prob. 2PEBCh. 8 - Prob. 3PEBCh. 8 - Prob. 4PEBCh. 8 - Prob. 5PEBCh. 8 - 6. If the charge-to-mass ratio of a proton is 9.58...Ch. 8 - Prob. 7PEBCh. 8 - 8. Using any reference you wish, write the...Ch. 8 - Prob. 9PEBCh. 8 - 10. Referring to Figure 8.16 only, write the...Ch. 8 - 11. An electric motor draws a current of 11.5 A in...Ch. 8 - Prob. 12PEBCh. 8 - Prob. 13PEBCh. 8 - Prob. 14PEBCh. 8 - Prob. 15PEBCh. 8 - Prob. 16PEBCh. 8 - Prob. 17PEBCh. 8 - Prob. 18PEBCh. 8 - Prob. 19PEB
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