Introduction To Quantum Mechanics
3rd Edition
ISBN: 9781107189638
Author: Griffiths, David J., Schroeter, Darrell F.
Publisher: Cambridge University Press
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Question
Chapter 7, Problem 7.50P
(a)
To determine
The shift of the ground state energy of a helium atom to second order in
(b)
To determine
The magnetic susceptibility of helium.
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A magnetic field is applied to a freely floating uniform iron sphere with radius R = 2.00 mm. The sphere initially had no net magnetic moment, but the field aligns 12% of the magnetic moments of the atoms (that is, 12% of the magnetic moments of the loosely bound electrons in the sphere, with one such electron per atom). The magnetic moment of those aligned electrons is the sphere’s intrinsic magnetic moment .What is the sphere’s resulting angular speed v?
F.j = (-e)(-v,k) × (B,i + B.k)
ev Bzj. Solving for B gives
F.
Br
8.50x10 16 N
= 1.13 T. Therefore B = 1.13 Ti – 0.772 Tk. The magnitude o
A group of particles is traveling in a magnetic field of
unknown magnitude and direction. You observe that a
proton moving at 1.70 km/s in the +x-direction
experiences a force of 2.10x10-16 N in the +y-
direction, and an electron moving at 4.70 km/s in the
eve
(1.60x10 19 C)(4700 m/s)
is B = VB? + B =
(1.13 T)² + (-0.772 T)² = 1.37 T.
-z-direction experiences a force of 8.50x10-16 N in
the +y-direction.
Part B
For related problem-solving tips and strategies, you
may want to view a Video Tutor Solution of Magnetic
force on a proton.
What is the direction of the magnetic field? (in the xz-plane)
Express your answer in degrees.
0 = 60.59
° from the -z-direction to the +x-direction
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Fig. 1
25. A strip-like conductor with dimensions a b c = 6.0.5.6 mm³ is serving as a Hall-probe.
A current of 40 mA is flowing, and the sample is placed in a magnetic field B = 0.8T, as
a result a Hall-Votlage of UH = 20 mV is measured.
a) What is the charge carrier concentration in the sample?
b) What side of the strip-like probe accumulates negative charge if the charge transport
is done via electrons?
c) What Hall-voltage arises from bipolar conduction, hence when the same amount of
electrons and holes contribute to the conduction? Electrons and hole can be assumed to
have equal mobility.
Fig. 2
Chapter 7 Solutions
Introduction To Quantum Mechanics
Ch. 7.1 - Prob. 7.1PCh. 7.1 - Prob. 7.2PCh. 7.1 - Prob. 7.3PCh. 7.1 - Prob. 7.4PCh. 7.1 - Prob. 7.5PCh. 7.1 - Prob. 7.6PCh. 7.2 - Prob. 7.8PCh. 7.2 - Prob. 7.9PCh. 7.2 - Prob. 7.10PCh. 7.2 - Prob. 7.11P
Ch. 7.2 - Prob. 7.12PCh. 7.2 - Prob. 7.13PCh. 7.3 - Prob. 7.15PCh. 7.3 - Prob. 7.16PCh. 7.3 - Prob. 7.17PCh. 7.3 - Prob. 7.18PCh. 7.3 - Prob. 7.19PCh. 7.3 - Prob. 7.20PCh. 7.3 - Prob. 7.21PCh. 7.3 - Prob. 7.22PCh. 7.4 - Prob. 7.23PCh. 7.4 - Prob. 7.24PCh. 7.4 - Prob. 7.25PCh. 7.4 - Prob. 7.26PCh. 7.4 - Prob. 7.27PCh. 7.4 - Prob. 7.28PCh. 7.4 - Prob. 7.29PCh. 7.5 - Prob. 7.31PCh. 7.5 - Prob. 7.32PCh. 7 - Prob. 7.33PCh. 7 - Prob. 7.34PCh. 7 - Prob. 7.35PCh. 7 - Prob. 7.36PCh. 7 - Prob. 7.37PCh. 7 - Prob. 7.38PCh. 7 - Prob. 7.39PCh. 7 - Prob. 7.40PCh. 7 - Prob. 7.42PCh. 7 - Prob. 7.43PCh. 7 - Prob. 7.44PCh. 7 - Prob. 7.45PCh. 7 - Prob. 7.46PCh. 7 - Prob. 7.47PCh. 7 - Prob. 7.49PCh. 7 - Prob. 7.50PCh. 7 - Prob. 7.51PCh. 7 - Prob. 7.52PCh. 7 - Prob. 7.54PCh. 7 - Prob. 7.56PCh. 7 - Prob. 7.57P
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