Modern Physics
2nd Edition
ISBN: 9780805303087
Author: Randy Harris
Publisher: Addison Wesley
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Textbook Question
Chapter 8, Problem 27E
Show that the frequency at which an electron’s intrinsic magnetic dipole moment would process in a magnetic filed is given by
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The angular momentum of a mass distribution where a differential element particle of mass m with velocity v and located
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Chapter 8 Solutions
Modern Physics
Ch. 8 - A dipole without angular momentum can simply...Ch. 8 - Prob. 2CQCh. 8 - Prob. 3CQCh. 8 - Prob. 4CQCh. 8 - Prob. 5CQCh. 8 - Prob. 6CQCh. 8 - Prob. 7CQCh. 8 - Prob. 8CQCh. 8 - Prob. 9CQCh. 8 - Prob. 10CQ
Ch. 8 - Prob. 11CQCh. 8 - Prob. 12CQCh. 8 - Prob. 13CQCh. 8 - Prob. 14CQCh. 8 - Prob. 15CQCh. 8 - Lithium is chemically reactive. What if electrons...Ch. 8 - Prob. 17CQCh. 8 - Prob. 18CQCh. 8 - Prob. 19CQCh. 8 - Prob. 20CQCh. 8 - Prob. 21CQCh. 8 - Prob. 22CQCh. 8 - Prob. 23CQCh. 8 - The total-spin singlet state for two electrons has...Ch. 8 - Prob. 25ECh. 8 - Prob. 26ECh. 8 - Show that the frequency at which an electron’s...Ch. 8 - Prob. 28ECh. 8 - Prob. 29ECh. 8 - Prob. 30ECh. 8 - Prob. 31ECh. 8 - Prob. 33ECh. 8 - Prob. 34ECh. 8 - Prob. 35ECh. 8 - Prob. 36ECh. 8 - Prob. 37ECh. 8 - Prob. 38ECh. 8 - Prob. 39ECh. 8 - Prob. 41ECh. 8 - Prob. 42ECh. 8 - The Slater determinant is introduced in Exercise...Ch. 8 - Prob. 44ECh. 8 - Exercise 44 gives an antisymmetricmultiparticle...Ch. 8 - Prob. 46ECh. 8 - Prob. 48ECh. 8 - Write the electronic configurations for...Ch. 8 - Prob. 50ECh. 8 - Prob. 51ECh. 8 - Prob. 52ECh. 8 - Prob. 53ECh. 8 - Prob. 54ECh. 8 - Prob. 55ECh. 8 - Prob. 56ECh. 8 - Prob. 57ECh. 8 - Prob. 58ECh. 8 - Prob. 59ECh. 8 - The well-known sodium doublet is two yellow...Ch. 8 - Prob. 61ECh. 8 - Prob. 62ECh. 8 - Prob. 64ECh. 8 - Prob. 65ECh. 8 - Prob. 66ECh. 8 - Prob. 67ECh. 8 - Prob. 68ECh. 8 - Prob. 69ECh. 8 - Prob. 70ECh. 8 - Repeat Example 8.6, but assume that the upper...Ch. 8 - Prob. 72ECh. 8 - Prob. 73ECh. 8 - Prob. 74ECh. 8 - Using J2=L2+S2+2LS to eliminate LS , as well as...Ch. 8 - A hydrogen atom is subjected to a magnetic field...Ch. 8 - Prob. 77ECh. 8 - Prob. 78ECh. 8 - Prob. 79ECh. 8 - Prob. 80ECh. 8 - Prob. 81ECh. 8 - As is done for helium in Table 8.3, determine for...Ch. 8 - Prob. 83CECh. 8 - Prob. 84CECh. 8 - Prob. 85CE
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- The force on a magnetic moment z in a nonuniform magnetic field Bz is given by Fz=zdBzdz If a beam of silver atoms travels a horizontal distance of 1 m through such a field and each atom has a speed of 100 m/s, how strong must the field gradient dBz/dz be in order to deflect the beam 1 mm?arrow_forwardShow that U=B . (Hint: An infinitesimal amount of work is done to align the magnetic moment with the external field. This work rotates the magnetic moment vector through an angle - d(toward the positive z-direction), where d is a positive angle change.)arrow_forwardHall measurements are made on a p-type semiconductor bar 500 u,m wide and 20 u,m thick. The Hall contacts A and B are displaced 2 p-m with respect to each other in the direction of current flow of 3 mA. The voltage between A and B with a magnetic field of 10 kG (lkG = 10^-5 Wb/cm2) pointing out of the plane of the sample is 3.2 mV. When the magnetic field direction is reversed the voltage changes to - 2 .8 mV. What is the hole concentration and mobility?arrow_forward
- Let E be the electric field of magnitude 6.0x10^6 N/C and B be the magnetic fi electron is accelerated with a potential of 200 V, will it show zero deflection?arrow_forwardIn a Hall-effect experiment, a current of 3.0 A sent lengthwise through a conductor 0.83 cm wide, 3.0 cm long, and 9.3 μm thick produces a transverse (across the width) Hall potential difference of 9.7 μV when a magnetic field of 1.5 T is passed perpendicularly through the thickness of the conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number density of charge carriers. (a) Number (b) Number i i ! ! Units Units m/s m^-3 or 1/m^3arrow_forwardThe magnetic dipole moment of the gadolinium atom is about 6.3 ✕ 10−23 A · m2. (a) Calculate the maximum magnetic dipole moment (in A · m2) of a domain consisting of 1019 gadolinium atoms. (b) What current (in A) would have to flow through a single circular loop of wire of diameter 1.2 cm to produce the magnetic dipole moment you calculated?arrow_forward
- In a Hall-effect experiment, a current of 2.3 A sent lengthwise through a conductor 1.2 cm wide, 3.9 cm long, and 10 μm thick produces a transverse (across the width) Hall potential difference of 8.4 µV when a magnetic field of 1.3 T is passed perpendicularly through the thickness of the conductor. From these data, find (a) the drift speed of the charge carriers and (b) the number density of charge carriers. (a) Number M. i (b) Number i Units Unitsarrow_forwardTwo magnetic systems in thermal contact Consider two isolated systems of noninteracting spins with NA = 4 and NB = 16. Their initial energies are EA = -2µB and EB= -2µB. (a) What is the total number of microstates available to the composite system? (b) If the two systems are now allowed to exchange energy with one another, what is the probability that system A has energy EA? (c) What is the mean value of EA and its relative fluctuations? Calculate the analogous quantities for system В. (d) What is the most probable macrostate for the composite system?arrow_forwardQ. 5: (a)The Hall effect can be used to calculate the charge-carrier number density in a conductor. If a conductor carrying a current of 2.0 A is 0.5 mm thick, and the Hall effect voltage is 4.5µV when it is in a uniform magnetic field of 1.2 T, what is the density of charge carriers in the conductor?arrow_forward
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