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 9P
To determine
The possible values of angle between
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a) How many distinct angles from the vertical axis can the orbital angular momentum vector L make for an electron with l = 7?
b)Calculate the smallest possible angle the L can make with respect to the vertical axis. (Hint: The smallest angle occurs when ml takes the maximum allowed value. Sketch L in that case and compare the vertical component, which is related to ml, to the magnitude of L, which is related to l.)
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Imagine you have a beam of spin 1/2 particles moving in the y-direction. We can set up an inhomogeneous magnetic field to interact with the particles, separating them according to their spin component in the direction of the magnetic field, B·Sˆ. This is the Stern-Gerlach experiment
(a) You set up a magnetic field in the z-direction. As the beam of particles passes through it, it splits in two equal beams: one goes up, corresponding to the spin-up particles (those whose Sˆ z eigenvalue was +ℏ 2 ), and the other goes down, corresponding to the spin-down particles. Now, you take the beam that went up and pass it through another magnetic field in the z-direction. Does the beam split? If so, what fraction of the particles go to each side?
(b) Instead, you pass the beam through a z-field, take the beam that went up, and pass it through a magnetic field in the x-direction. Does the beam split? If so, what fraction of the particles go to each side?
(c) You…
An atom has completely filled inner shells and a single valence electron in an excited p state.
The filled inner shells have an orbital momentum equal to zero. A magnetic field is applied.
What is the set of possible angles between the magnetic field and the orbital angular
momentum?
O 45°, 135°
90°
O 45°
O 45°, 90°, 135°
O 45°, 90°
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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- What is the smallest value that ℓ may have if L is within 10° of the z axis?arrow_forwarda) Using the shell model sketch the energy level diagram of 58V. Determine all the possible spin-parities of the ground state. You should justify the results obtained.arrow_forwardA hydrogen atom is located in an area where there is both a uniform magnetic field and a uniform electric field that are parallel to each other. a) write out the Hamiltonian of perturbation (ignore the spin of the electron). b) use perturbation theory in order to calculate the first order correction to the energy levels n=1,2 c) is there any degeneracy left? Compare with situations in which there is a magnetic field or only an electric field.arrow_forward
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