Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 32, Problem 5Q
An electron in an external magnetic field
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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, = 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?
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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
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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
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spin magnetic dipole moment?
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Chapter 32 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 32 - Figure 32-19a shows a capacitor, with circular...Ch. 32 - Prob. 2QCh. 32 - Prob. 3QCh. 32 - Figure 32-22a shows a pair of opposite spin...Ch. 32 - An electron in an external magnetic field Bext has...Ch. 32 - Prob. 6QCh. 32 - Figure 32-23 shows a face-on view of one of the...Ch. 32 - Prob. 8QCh. 32 - Replace the current loops of Question 8 and Fig....Ch. 32 - Prob. 10Q
Ch. 32 - Figure 32-25 represents three rectangular samples...Ch. 32 - Prob. 12QCh. 32 - Prob. 1PCh. 32 - Prob. 2PCh. 32 - Prob. 3PCh. 32 - Prob. 4PCh. 32 - Prob. 5PCh. 32 - Prob. 6PCh. 32 - Prob. 7PCh. 32 - GO Nonuniform electric flux. Figure 32-30 shows a...Ch. 32 - Prob. 9PCh. 32 - Prob. 10PCh. 32 - Prob. 11PCh. 32 - Prob. 12PCh. 32 - Prob. 13PCh. 32 - Prob. 14PCh. 32 - Prob. 15PCh. 32 - Prob. 16PCh. 32 - Prob. 17PCh. 32 - Prob. 18PCh. 32 - Prob. 19PCh. 32 - Prob. 20PCh. 32 - Prob. 21PCh. 32 - Prob. 22PCh. 32 - Prob. 23PCh. 32 - The magnitude of the electric field between the...Ch. 32 - Prob. 25PCh. 32 - Prob. 26PCh. 32 - Prob. 27PCh. 32 - GO Figure 32-35a shows the current i that is...Ch. 32 - Prob. 29PCh. 32 - Assume the average value of the vertical component...Ch. 32 - In New Hampshire the average horizontal component...Ch. 32 - Figure 32-37a is a one-axis graph along which two...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 - Prob. 37PCh. 32 - Assume that an electron of mass m and charge...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - A sample of the paramagnetic salt to which the...Ch. 32 - Prob. 41PCh. 32 - Prob. 42PCh. 32 - Prob. 43PCh. 32 - Figure 32-39 gives the magnetization curve for a...Ch. 32 - Prob. 45PCh. 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 - Prob. 60PCh. 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 - Prob. 66PCh. 32 - In Fig. 32-42, a parallel-plate capacitor is being...Ch. 32 - What is the measured component of the orbital...Ch. 32 - Prob. 69PCh. 32 - Prob. 70PCh. 32 - Prob. 71PCh. 32 - Prob. 72PCh. 32 - SSM If an electron in an atom has orbital angular...Ch. 32 - Prob. 74PCh. 32 - Prob. 75PCh. 32 - What are the measured components 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 = 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 Unitsarrow_forward
- 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 2marrow_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
- In the Bohr model for the hydrogen atom, the electron must travel in a circular orbit of radius 5.3 x 10-11 m. Calculate the current and magnetic moment associated with this electron. Given that the magnetic field strength is in a magnitude of 9.9 x 106 A/m.arrow_forwardA uniform magnetic field of 2.00x10 3T is applied to put an electron into a circular orbit with angular momentum 5.00x10 radius and the speed of the electron. 25 kg m?/s. Calculate the orbitalarrow_forwardOne electron collides elastically with a second electron initially at rest. After the collision, the radii of their trajectories are 1.00 cm and 2.40 cm. The trajectories are perpendicular to a uniform magnetic field of magnitude 0.044 0 T. Determine the energy (in keV) of the incident electron.arrow_forward
- (a) A particle of charge q moves in a circular path of radius r in a uniform magnetic field B. If the magnitude of the magnetic field is double, and the kinetic energy of the particle is the same, how does the angular momentum of the particle differ? (b) Show that the magnetic dipole moment M (Section 20-9) of an electron orbiting the proton nucleus of a hydrogen atom is related to the orbital angular momentum L of the electron by e e L. 2m Marrow_forwardof rad 11) se the el According to the classical model of the Hydrogen atom, an electron moves in a circular orbit of radius r= 3a in the xy-plane with constant velocity in the counter-clockwise direction around the proton. Find the current produced due to the motion of the electron during its motion and the magnetic dipole moment in terms of unit vectors. a) / =i= (-R) ev eva 2. 2na 2. 2ev b) I 47ma ;i = eva(-k) Sevo 3eva c) = 6na (-k) d) = i = 2eva(-k) 8ra işare krar seva (-k) e)/ 10maarrow_forwardAn electron with an energy of 100 eV is revolving in a uniform magnetic field of magnitude 45.0 micro Tesla. Calculate the radius of the path of this electron if its velocity which is 320 km/s is perpendicular to the magnetic field.arrow_forward
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