Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
9th Edition
ISBN: 9781305266292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 44, Problem 59AP
To determine
What is the energy difference in electron volts.
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The potential energy of a magnetic moment
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6. A solid at temperature is placed in an external magnetic field B = 1 Tesla = 1 × 10¹
gauss. The solid contains weakly interacting paramagnetic atoms of spin 1/2, so that
the energy of each atom is ±μB.
a. If the magnetic moment is equal to one Bohr magneton, i.e., μ = h x
1.4 MHz/gauss, below what temperature must one cool the solid so that more
than 75% of the atoms are polarized with their spins parallel to the external
magnetic field?
b. Suppose that one considered instead a solid which is free of paramagnetic atoms
but contains many protons (e.g., paraffin). Each proton has spin 1/2 and a
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The magnetism of permanent magnets arises because the inherent magnetic moment of electrons causes them to act like little compass needles. Protons also have an inherent magnetic moment, and this is the basis for magnetic resonance imaging (MRI) in medicine.Although a compass needle would prefer to align with a magnetic field, the needle can point in any direction. This isn’t the case for the magnetic moment of a proton. Quantum physics tells us that the proton’s energy must be quantized. There are only two possible energy levels—and thus two possible orientations—for protons in a magnetic field: E1 = -μB magnetic moment aligned with the field E2 = +μB magnetic moment aligned opposite the fieldwhere μ = 1.41 x 10-26 J/T is the known value of the proton’s magnetic moment. FIGURE 28.24 shows the two possible energy states. The magnetic moment, like a compass needle, “wants” to align with the field, so that is the lower-energy state.…
Chapter 44 Solutions
Physics for Scientists and Engineers with Modern, Revised Hybrid (with Enhanced WebAssign Printed Access Card for Physics, Multi-Term Courses)
Ch. 44.1 - Prob. 44.1QQCh. 44.5 - Prob. 44.3QQCh. 44.5 - Which of the following is the correct daughter...Ch. 44 - Prob. 1OQCh. 44 - Prob. 2OQCh. 44 - Prob. 3OQCh. 44 - Prob. 4OQCh. 44 - Prob. 5OQCh. 44 - Prob. 6OQCh. 44 - Prob. 7OQ
Ch. 44 - Prob. 8OQCh. 44 - Prob. 9OQCh. 44 - Prob. 10OQCh. 44 - Prob. 11OQCh. 44 - Prob. 12OQCh. 44 - Prob. 13OQCh. 44 - Prob. 1CQCh. 44 - Prob. 2CQCh. 44 - Prob. 3CQCh. 44 - Prob. 4CQCh. 44 - Prob. 5CQCh. 44 - Prob. 6CQCh. 44 - Prob. 7CQCh. 44 - Prob. 8CQCh. 44 - Prob. 9CQCh. 44 - Prob. 10CQCh. 44 - Prob. 11CQCh. 44 - Prob. 12CQCh. 44 - Prob. 13CQCh. 44 - Prob. 14CQCh. 44 - Prob. 15CQCh. 44 - Prob. 16CQCh. 44 - Prob. 17CQCh. 44 - Prob. 1PCh. 44 - Prob. 2PCh. 44 - Prob. 3PCh. 44 - Prob. 4PCh. 44 - Prob. 5PCh. 44 - Prob. 6PCh. 44 - Prob. 7PCh. 44 - Prob. 8PCh. 44 - Prob. 9PCh. 44 - Prob. 10PCh. 44 - Prob. 11PCh. 44 - Prob. 12PCh. 44 - Prob. 13PCh. 44 - Prob. 14PCh. 44 - Prob. 15PCh. 44 - Prob. 16PCh. 44 - Prob. 17PCh. 44 - Prob. 18PCh. 44 - Prob. 19PCh. 44 - Prob. 20PCh. 44 - Prob. 21PCh. 44 - Prob. 22PCh. 44 - Prob. 23PCh. 44 - Prob. 24PCh. 44 - Prob. 25PCh. 44 - Prob. 26PCh. 44 - Prob. 27PCh. 44 - Prob. 28PCh. 44 - Prob. 29PCh. 44 - Prob. 31PCh. 44 - Prob. 32PCh. 44 - Prob. 33PCh. 44 - Prob. 34PCh. 44 - Prob. 35PCh. 44 - Prob. 36PCh. 44 - Prob. 37PCh. 44 - Prob. 38PCh. 44 - Prob. 39PCh. 44 - Prob. 40PCh. 44 - Prob. 41PCh. 44 - Prob. 42PCh. 44 - Prob. 43PCh. 44 - Prob. 44PCh. 44 - Prob. 45PCh. 44 - Prob. 46PCh. 44 - Prob. 47PCh. 44 - Prob. 48PCh. 44 - Prob. 49PCh. 44 - Prob. 50PCh. 44 - Prob. 51PCh. 44 - Prob. 52PCh. 44 - Prob. 53PCh. 44 - Prob. 54APCh. 44 - Prob. 55APCh. 44 - Prob. 56APCh. 44 - Prob. 57APCh. 44 - Prob. 58APCh. 44 - Prob. 59APCh. 44 - Prob. 60APCh. 44 - Prob. 61APCh. 44 - Prob. 62APCh. 44 - Prob. 63APCh. 44 - Prob. 64APCh. 44 - Prob. 65APCh. 44 - Prob. 66APCh. 44 - Prob. 67APCh. 44 - Prob. 68APCh. 44 - Prob. 69APCh. 44 - Prob. 70APCh. 44 - Prob. 71APCh. 44 - Prob. 72APCh. 44 - As part of his discovery of the neutron in 1932,...Ch. 44 - Prob. 74APCh. 44 - Prob. 75APCh. 44 - Prob. 76APCh. 44 - Prob. 77CPCh. 44 - Prob. 78CP
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