Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9, Problem 1P
To determine
The frequency of the photon required to excite an ESR.
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Consider a hydrogen atom in a large magnetic field.
Compute the wavelengths of the photons when it transitioned from the 2p → 1s levels when the hydrogen atom is placed in a magnetic field of 2.00 Tesla.
In total, consider the three transitions L=1 (2p) to L=0 (1s) associated with the three states ?ℓ= −1, 0, +1.
Draw the energy levels for B=0 T and B=2 T.
Ignore the effects of the intrinsic electron’s spin angular momentum and only consider the effect of the orbital angular moment L on the energy levels.
A hydrogen atom undergoes a transition from a 2p state to the 1s ground state. In the absence of a magnetic field, the wavelength of the photon emitted is 122 nm. The atom is then placed in a strong magnetic field in the z@direction. Ignore spin effects; consider only the interaction of the magnetic field with the atom’s orbital magnetic moment.
(a) How many different photon wavelengths are observed for the 2p S 1s transition? What are the ml values for the initial and final states for the transition that leads to each photon wavelength?
(b) One observed wavelength is exactly the same with the magnetic field as without. What are the initial and final ml values for the transition that produces a photon of this wavelength?
(c) One observed wavelength with the field is longer than the wavelength without the field. What are the initial and final ml values for the transition that produces a photon of this wavelength?
(d) Repeat part (c) for the wavelength that is shorter than the wavelength…
In sodium, one of the two yellow lines has a wavelength of 589.76 nm and is the transition from the 2P₁
state to the 2s,
1/2
1/2
state. If a sodium atom is placed in a magnetic field due to the anomalous Zeeman effect, it can
be shown that the energy splitting may be determined by V = μBB extgm,. If the magnitude of the external magnetic field is 2.45 T, determine the difference in wavelength (in m) between the shortest and longest
wavelength between these two states.
123 Tutorial
m
Chapter 9 Solutions
Modern Physics
Ch. 9.2 - Prob. 1ECh. 9.3 - Prob. 2ECh. 9 - Prob. 1QCh. 9 - Prob. 2QCh. 9 - Prob. 3QCh. 9 - Prob. 4QCh. 9 - Prob. 5QCh. 9 - Prob. 6QCh. 9 - Prob. 7QCh. 9 - Prob. 8Q
Ch. 9 - Prob. 9QCh. 9 - Prob. 11QCh. 9 - For a one-electron atom or ion, spinorbit coupling...Ch. 9 - Prob. 14QCh. 9 - Prob. 1PCh. 9 - Prob. 2PCh. 9 - Prob. 4PCh. 9 - The force on a magnetic moment z in a nonuniform...Ch. 9 - Consider the original Stern–Gerlach experiment...Ch. 9 - Prob. 7PCh. 9 - Consider a right circular cylinder of radius R,...Ch. 9 - Prob. 9PCh. 9 - Prob. 10PCh. 9 - Prob. 11PCh. 9 - Prob. 12PCh. 9 - Prob. 13PCh. 9 - Prob. 14PCh. 9 - Prob. 15PCh. 9 - Prob. 16PCh. 9 - Prob. 17PCh. 9 - Prob. 18PCh. 9 - Prob. 21PCh. 9 - Prob. 22PCh. 9 - Prob. 23PCh. 9 - Prob. 24PCh. 9 - Prob. 25P
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