University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Question
Chapter 42, Problem 42.51P
(a)
To determine
To plot: The graph of energy
(b)
To determine
The temperature
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The Fermi energy of silver is µF = 5.51 eV.
a) Calculate µ(7) of Ag at T = 400 and 4000 K.
b) What is the rms speed of electrons at 0 K? What is the Fermi velocity?
c) Plot the Fermi function at 0 and 4000 K in one graph and discuss the differences.
n=1
11. The ground state energy of a free Fermi gas comprising N particles in a box of volume V in terms of
Part = N
the Fermi energy Ep is
NORT
A) NEF
B) NEF
A) PR
B) P₁ = e
C) P₁₁ = e
D) Pn=f
NEF
D) NEF
E) 2 N
12. For a given macrostate of a system, let P be the probability that the system is in the microstate
14 >. The corresponding Gibbs entropy is given by S-k En PinPn. We can obtain the familiar
Boltzmann entropy S = k In from the given Gibbs entropy if the probability distribution is, (♫ is
the number of accessible microstates),
=
hw
WEE
=
Ef-
nt & hun)
1
A) E
B) E2
2 N
~/M
D) E
E) Independent of energy E
+
2
E) P₁ = 2²
=
13.For a system with linear dispersion E(k)= hvk, in three dimensions, the density of states at energy
E depends on energy as
+ 1 h mk + / buk
2n=N
M/M.
rim
Ef = 1/1/₂
n = q
S = -x En Pulupn.
S = Kenn
-* & Plukk
€ (K) = hvk
Grüneisen parameter for silicon The silicon crystal (diamond structure) has the following properties at 500
K. The lattice parameter (a) = 0.5440 nm, thermal expansion coefficient (a) = 3.6x106 K-', and the bulk
modulus is about the same as that at room temperature (K = 99 GPa). The Debye temperature of Si is 625 K.
At room temperature (300 K) its density is 2.33 g cm³, and its lattice constant is 0.5430 nm. Calculate the
Grüneisen parameter at 500 K and compare with its value at room temperature in Table 1. Is 3 constant?
Chapter 42 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 42.1 - If electrons obeyed the exclusion principle but...Ch. 42.2 - Prob. 42.2TYUCh. 42.3 - Prob. 42.3TYUCh. 42.4 - One type of thermometer works by measuring the...Ch. 42.5 - Prob. 42.5TYUCh. 42.6 - Prob. 42.6TYUCh. 42.7 - Suppose a negative charge is placed on the gate of...Ch. 42 - Van der Waals bonds occur in many molecules, but...Ch. 42 - Prob. 42.2DQCh. 42 - The H2+ molecule consists of two hydrogen nuclei...
Ch. 42 - The moment of inertia for an axis through the...Ch. 42 - Prob. 42.5DQCh. 42 - Prob. 42.6DQCh. 42 - Prob. 42.7DQCh. 42 - The air you are breathing contains primarily...Ch. 42 - Prob. 42.9DQCh. 42 - Prob. 42.10DQCh. 42 - What factors determine whether a material is a...Ch. 42 - Prob. 42.12DQCh. 42 - Prob. 42.13DQCh. 42 - Prob. 42.14DQCh. 42 - Prob. 42.15DQCh. 42 - Prob. 42.16DQCh. 42 - Prob. 42.17DQCh. 42 - Prob. 42.18DQCh. 42 - Prob. 42.19DQCh. 42 - Prob. 42.20DQCh. 42 - Prob. 42.21DQCh. 42 - Prob. 42.22DQCh. 42 - Prob. 42.23DQCh. 42 - Prob. 42.24DQCh. 42 - If the energy of the H2 covalent bond is 4.48 eV,...Ch. 42 - An Ionic Bond, (a) Calculate the electric...Ch. 42 - Prob. 42.3ECh. 42 - Prob. 42.4ECh. 42 - Prob. 42.5ECh. 42 - Prob. 42.6ECh. 42 - Prob. 42.7ECh. 42 - Two atoms of cesium (Cs) can form a Cs2 molecule....Ch. 42 - Prob. 42.9ECh. 42 - Prob. 42.10ECh. 42 - A lithium atom has mass 1.17 1026 kg, and a...Ch. 42 - Prob. 42.12ECh. 42 - When a hypothetical diatomic molecule having atoms...Ch. 42 - The vibrational and rotational energies of the CO...Ch. 42 - Prob. 42.15ECh. 42 - Prob. 42.16ECh. 42 - Prob. 42.17ECh. 42 - Prob. 42.18ECh. 42 - Prob. 42.19ECh. 42 - Prob. 42.20ECh. 42 - Prob. 42.21ECh. 42 - Prob. 42.22ECh. 42 - Prob. 42.23ECh. 42 - Prob. 42.24ECh. 42 - Prob. 42.25ECh. 42 - Prob. 42.26ECh. 42 - Prob. 42.27ECh. 42 - Prob. 42.28ECh. 42 - Prob. 42.29ECh. 42 - Prob. 42.30ECh. 42 - Prob. 42.31ECh. 42 - Prob. 42.32ECh. 42 - Prob. 42.33PCh. 42 - Prob. 42.34PCh. 42 - Prob. 42.35PCh. 42 - The binding energy of a potassium chloride...Ch. 42 - (a) For the sodium chloride molecule (NaCl)...Ch. 42 - Prob. 42.38PCh. 42 - Prob. 42.39PCh. 42 - Prob. 42.40PCh. 42 - Prob. 42.41PCh. 42 - Prob. 42.42PCh. 42 - Prob. 42.43PCh. 42 - Prob. 42.44PCh. 42 - Prob. 42.45PCh. 42 - Prob. 42.46PCh. 42 - Prob. 42.47PCh. 42 - Prob. 42.48PCh. 42 - Prob. 42.49PCh. 42 - Prob. 42.50PCh. 42 - Prob. 42.51PCh. 42 - Prob. 42.52PCh. 42 - Prob. 42.53CPCh. 42 - Prob. 42.54CPCh. 42 - Prob. 42.55CPCh. 42 - Prob. 42.56PPCh. 42 - Prob. 42.57PPCh. 42 - Prob. 42.58PP
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