FUNDAMENTALS OF PHYSICS - EXTENDED
12th Edition
ISBN: 9781119773511
Author: Halliday
Publisher: WILEY
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Chapter 32, Problem 5Q
An electron in an external magnetic field
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Consider a simple hydrogen atom where an electron orbits around a
proton. Suppose a small magnetic field is applied perpendicularly to the plane of
orbit. Show that if the orbit radius does not change, then the angular velocity of the
electron would change by
Δω = t
eB
2m
If an electron in an atom has an orbital angular momentum with ml = 2, what are the components (a) Lorb,z and (b) μorb,z? If the atom is in an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has ml = -1, what are (e) Lorb,z, (f) μorb,z, (g) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment?
If an electron in an atom has an orbital angular momentum with m = 4, what are the components (a) Lorb,z and (b) Horb,z? If the atom is in
an external magnetic field that has magnitude 33 mT and is directed along the z axis, what are (c) the potential energy Uorb associated
with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's
spin magnetic dipole moment? If, instead, the electron has m₁ =-5, what are (e) Lorb,z, (f) Horb,z, (g) the potential energy Urb associated
with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's
spin magnetic dipole moment?
(a) Number
(b) Number
(c) Number
(d) Number
(e) Number
(f) Number
(g) Number
(h) Number
Units
Units
Units
Units
Units
Units
Units
Units
Chapter 32 Solutions
FUNDAMENTALS OF PHYSICS - EXTENDED
Ch. 32 - An electron in an external magnetic field Bext has...Ch. 32 - Prob. 1PCh. 32 - Prob. 3PCh. 32 - Prob. 5PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16P
Ch. 32 - Prob. 17PCh. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Assume the average value of the vertical component...Ch. 32 - In New Hampshire the average horizontal component...Ch. 32 - SSM WWWIf an electron in an atom has an orbital...Ch. 32 - Prob. 34PCh. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 36PCh. 32 - Assume that an electron of mass m and charge...Ch. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - You place a magnetic compass on a horizontal...Ch. 32 - SSM ILW WWW The magnitude of the magnetic dipole...Ch. 32 - The magnitude of the dipole moment associated with...Ch. 32 - SSMThe exchange coupling mentioned in Module 32-8...Ch. 32 - Prob. 50PCh. 32 - Prob. 51PCh. 32 - Prob. 52PCh. 32 - Prob. 53PCh. 32 - Using the approximations given in Problem 61, find...Ch. 32 - Earth has a magnetic dipole moment of 8.0 1022...Ch. 32 - A charge q is distributed uniformly around a thin...Ch. 32 - A magnetic compass has its needle, of mass 0.050...Ch. 32 - Prob. 58PCh. 32 - Prob. 59PCh. 32 - SSMThe magnetic field of Earth can be approximated...Ch. 32 - Prob. 62PCh. 32 - Prob. 63PCh. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 65PCh. 32 - What is the measured component of the orbital...
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- On what factors does the orbital magnetic dipole moment of an electron depend?arrow_forwardA proton precesses with a frequency p in the presence of a magnetic field. If the intensity of the magnetic field is doubled, what happens to the precessional frequency?arrow_forwardIf an electron in an atom has an orbital angular momentum with m, = 2, what are the components (a) Lorbz and (b) Horbz? If the atom is in an external magnetic field that has magnitude 35 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Ugpin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m = - 4, what are (e) Lorbz (f) Horb.z (8) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number i Units Js (b) Number i Units J/T (c) Number Units J (d) Number i Units J (e) Number Units J•s (f) Number Units J/T (g) Number i Units (h) Number i Units >arrow_forward
- If an electron in an atom haş an orbital angular momentum with m, = 2, what are the components (a) Lorbz and (b) µorb.z? If the atom is in an external magnetic field that has magnitude 46 mT and is directed along the z axis, what are (c) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (d) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? If, instead, the electron has m¡ = -4, what are (e) Lorb.z, (f) Horb.z. (g) the potential energy Uorb associated with the electron's orbital magnetic dipole moment and (h) the magnitude of the potential energy Uspin associated with the electron's spin magnetic dipole moment? (a) Number i Units (b) Number i Units (c) Number Units (d) Number i Units (e) Number i Units (f) Number i Units (g) Number i Units MacBook Proarrow_forward17. Review. One electron collides elastically with a second AMI electron initially at rest. After the collision, the radii of their trajectories are 1.00 cm and 2.40 cm. The trajec- tories are perpendicular to a uniform magnetic field of magnitude 0.044 0 T. Determine the energy (in keV) of the incident electron.arrow_forwardA uniform magnetic field of 2.00×10−3T is applied to put an electron into acircular orbit with angular momentum 5.00×10−25 kg m2/s. Calculate the orbitalradius and the speed of the electron.arrow_forward
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