Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
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Chapter 9.3, Problem 2E
To determine
The magnitude of magnetic field.
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The magnetic dipole interaction of two spin 1/2 particles is described by the potential
V = A
where r is the distance between the two particles.
a. Show that this can also be written as
S?r2 – 3(5. 72
V = 2A
where S = (1 + 2).
b. What are possible the interaction energies, if the distance between the two particles
is fixed d?
c. Assume that the two spin 1/2 particles are at a fixed distance d from each other as in
part a, and that at t = 0 one of the spins is along the direction of the vector from particle
1 to particle 2, and the other is in the opposite direction. After how much time will the
directions of the spins be flipped?
A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?
B9
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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- The valence election of chlorine is excited to a 3p state, (a) What is the magnitude of the election's orbital angular momentum? (b) What are possible values for the z-component of angular’ measurement?arrow_forward(a) How many electrons can be in the n = 4 shell? (b) What are its subshells, and how many elections can be in each?arrow_forwardThe force on an electron is “negative the gradient of the potential energy function.” Use this knowledge and Equation 8.1 to show that the force on the electron in a hydrogen atom is given by Coulomb’s force law. Ur=ke2r(8.1)arrow_forward
- A hydrogen atom in the n = 1, ms = - 1 2 state is placed in a magnetic field with a magnitude of 1.60 T in the +z@ direction. (a) Find the magnetic interaction energy (in electron volts) of the electron with the field. (b) Is there any orbital magnetic dipole moment interaction for this state? Explain. Can there be an orbital magnetic dipole moment interaction for n ≠ 1?arrow_forwardWhat are the possible values for the angle that the orbital angular moment vector L of d-electrons makes with the xy plane? Show your solution in detail.arrow_forwardAn electron in the ground state of hydrogen atom is revolving in anticlockwise direction in a circular orbit of radius R (see figure). (a) Obtain an expression for the orbital magnetic moment of the electron. (b) The atom is placed in a uniform magnetic induction B such that the normal to the AB 30° plane of electron's orbit makes an angle of 30° with the magnetic induction. Find the torque experienced by the orbiting electron.arrow_forward
- An a particle passes rapidly through the exact centre of a hydrogen molecule, moving on a line perpendiaular to the internuclear axis. The distance between the nuclei is b. Where on its path does the a particle experience the greatest force? Assume that the nuclei do not move much during the passage of the a particle. Also neglect the electric field of the clectrons in the molecúle. b (a) 2 (b) 2/2 2/2 +2e b a particle (c) J2 (d) none H, - moleculesarrow_forwardIn a deuterium nucleus, the proton and neutron spins can be either parallel or antiparallel. What are the possible values of the total spin of the deuterium nucleus? (It is not necessary to consider any orbital angular momentum.) The magnetic dipole moment of the deuterium nucleus is measured to be nonzero. Which of the possible spins is eliminated by this measured value?arrow_forwardPlease see attached question.arrow_forward
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