University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 9, Problem 17CQ
Why does the graph in Figure 9.12 increase gradually from the origin?
Figure 9.12 (a) Density of state for a free electron gas; (b) probability that a state is occupied at T = 0 K; (c) density if occupied states at T = 0 k.
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Suppose we have an ideal fermion gas of identical particles in a "box" at T = 0 K.
Which of the following statements are true?
a.
The multiplicity of the gas is =1
b.
The multiplicity of the gas is =N!
C.
If the gas consists of electrons with densities that correspond to the typical densities
of conduction electrons in metals, only a part of the electrons can contribute to the
heat capacity of the system as the temperature rises.
d.
If the gas consists of electrons with densities corresponding the typical densities
of conduction electrons in metals, all electrons can easily contribute to the heat
capacity of the system as the temperature rises.
2: (a) Derive equations for calculation of
density of states in 1, 2 and 3 dimensions.
2. Consider an ideal fermionic gas in one-dimension with N electrons in a
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Chapter 9 Solutions
University Physics Volume 3
Ch. 9 - Check Your Understanding Why is the potential...Ch. 9 - Check Your Understanding What does the energy...Ch. 9 - Check Your Understanding If the dissociation...Ch. 9 - Check Your Understanding What happens to the...Ch. 9 - Check Your Understanding How does the magnitude of...Ch. 9 - Check Your Understanding What conditions are...Ch. 9 - What is the main difference between an ionic bond,...Ch. 9 - For the following cases, what type of bonding...Ch. 9 - Describe three steps to ionic bonding.Ch. 9 - What prevents a positive and negative ion from...
Ch. 9 - For the H2 molecule, why must the spins the...Ch. 9 - Does the absorption spectrum of the diatomic...Ch. 9 - Rank the energy spacing (E) of the following...Ch. 9 - Explain key features of a vibrational-rotation...Ch. 9 - Why is tbe equilibrium separation distance between...Ch. 9 - Describe the difference between a face-centered...Ch. 9 - In sodium chloride, how many Clatoms are “nearest...Ch. 9 - In cesium iodide, how many Clatoms are "nearest...Ch. 9 - The NaCl crystal structure is FCC. The equilibrium...Ch. 9 - Why does the Fermi energy (EF) increase with the...Ch. 9 - If the election number density (N/V) of a metal...Ch. 9 - Why does the horizontal Line in the graph in...Ch. 9 - Why does the graph in Figure 9.12 increase...Ch. 9 - Why are the sharp transitions at the Fermi energy...Ch. 9 - What are the two main approaches used to determine...Ch. 9 - Describe two features of energy levels for an...Ch. 9 - How does the number of energy levels in a band...Ch. 9 - Why are some materials very good conductors and...Ch. 9 - Why are some materials semiconductors?Ch. 9 - Why does the resistance of a semiconductor...Ch. 9 - What kind of semiconductor is produced if...Ch. 9 - What kind of semiconductor is produced if silicon...Ch. 9 - What is the Hall effect and what is it used for?Ch. 9 - For an n-type semiconductor, how do impurity atoms...Ch. 9 - For a p-type semiconductor, how do impurity atoms...Ch. 9 - When p- and n-type materials are joined, why is a...Ch. 9 - When p- and n-type materials are joined, why does...Ch. 9 - How do you know if a diode is in the forward...Ch. 9 - Why does the reverse bias configuration lead to a...Ch. 9 - What happens in the extreme case that where the n-...Ch. 9 - Explain how an audio amplifier works, using the...Ch. 9 - Describe two main features of a superconductor.Ch. 9 - How does BCS theory explain superconductivity?Ch. 9 - What is the Meissner effect?Ch. 9 - What impact does an increasing magnetic field have...Ch. 9 - The electron configuration of carbon is 1s22s22p2....Ch. 9 - Potassium chloride (KCl) is a molecule formed by...Ch. 9 - The electron affinity of Cl is 3.89 eV and the...Ch. 9 - The measured energy dissociated energy of KC1 is...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - For the preceding problem, find the equilibrium...Ch. 9 - The separation between oxygen atoms in an O2...Ch. 9 - The characteristic energy of the N2 molecule is...Ch. 9 - The characteristic energy for KCl is 1.4105eV ....Ch. 9 - A diatomic F2 molecule is in the l = 1 state, (a)...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - The Csl crystal structure is BCC. The equilibrium...Ch. 9 - The potential energy of a crystal is - 8.10 eV/ion...Ch. 9 - The measured density of a NaF crystal is 2.558...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - Determine the dissociation energy of 12 moles of...Ch. 9 - The measured density of a KCl crystal is 1.984...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - The measured density of a CsCl crystal is 3.988...Ch. 9 - What is the difference in energy between the...Ch. 9 - An electron is confined to a metal cube of I = 0.8...Ch. 9 - What value of energy corresponds to a density of...Ch. 9 - Compare the density of states at 2.5 eV and 0.25...Ch. 9 - Consider a cube of copper with edges 1.50 mm long....Ch. 9 - If there is one free electron per atom of copper,...Ch. 9 - Determine the Fermi energy and temperature for...Ch. 9 - For a one-dimensional crystal, write the lattice...Ch. 9 - What is the main difference between an insulator...Ch. 9 - What is the longest wavelength for a photon that...Ch. 9 - A valence electron in a crystal absorbs a photon...Ch. 9 - An experiment is performed to demonstrate the Hall...Ch. 9 - Suppose that the cross-sectional area of the strip...Ch. 9 - A current-carrying copper wire with cross-section...Ch. 9 - The Hall effect is demonstrated in the laboratory....Ch. 9 - Show that for V less than zero, InetI0.Ch. 9 - A p-n diode has a reverse saturation current...Ch. 9 - The collector current of a transistor is 3.4 A for...Ch. 9 - Applying the positive end of a battery to the...Ch. 9 - The base current of a transistor is 4.4 A, and its...Ch. 9 - At what temperature, in terms of Tc, is the...Ch. 9 - What is the critical magnetic field for lead at T...Ch. 9 - A Pb wire wound in a tight solenoid of diameter of...Ch. 9 - A tightly wound solenoid at 4.0 K is 50 cm long...Ch. 9 - Potassium fluoride (KF) is a molecule formed by...Ch. 9 - For the preceding problem, sketch the potential...Ch. 9 - The separation between hydrogen atoms in a H2...Ch. 9 - The characteristic energy of the Cl2 molecule is...Ch. 9 - Determine the lowest three rotational energy...Ch. 9 - A carbon atom can hybridize in the...Ch. 9 - List five main characteristics of ionic crystals...Ch. 9 - Why is bonding in favorable? Express your answer...Ch. 9 - Astronomers claim to find evidence of He2 from...Ch. 9 - Show that the moment of inertia of a diatomic...Ch. 9 - Show that the average energy of an electron in a...Ch. 9 - Measurements of a superconductor's critical...Ch. 9 - Estimate the fraction of Si atoms that must be...Ch. 9 - Transition in the rotation spectrum are observed...Ch. 9 - Determine the Fermi energies for (a) Mg, (b) Na,...Ch. 9 - Find the average energy of an electron in a Zn...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - A physical model of a diamond suggests packing...Ch. 9 - For an electron in a three-dimensional metal, show...
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