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Cutnell/Johnson
Physics 7th edition
Classroom Response System Questions
Chapter 39 More about Matter Waves
Reading Quiz Questions
39.2.1. What does the confinement principle state?
a) Confinement leads to quantization.
b) It is very unlikely that a particle in a potential well can tunnel
through the energy barrier.
c) The smaller the volume of space a particle occupies, the faster it
must move.
d) A particle can only be confined in an infinitely deep potential well.
e) It is impossible to confine a particle in an infinitely small region.
39.2.1. What does the confinement principle state?
a) Confinement leads to quantization.
b) It is very unlikely that a particle in a potential well can tunnel
through the energy barrier.
c) The smaller the volume of space a particle occupies, the faster it
must move.
d) A particle can only be confined in an infinitely deep potential well.
e) It is impossible to confine a particle in an infinitely small region.
39.2.2. What is the term used to describe the least tightly bound
electrons of an atom?
a) core electron
b) free electron
c) positron
d) valence electron
e) Cooper electron
39.2.2. What is the term used to describe the least tightly bound
electrons of an atom?
a) core electron
b) free electron
c) positron
d) valence electron
e) Cooper electron
39.3.1. For an infinitely deep potential well, what does the quantum
number n signify?
a) the total number of electrons involved
b) the number of possible location(s) of the atom(s)
c) the energy level an electron is in
d) the probability density
e) the nutation of the atom
39.3.1. For an infinitely deep potential well, what does the quantum
number n signify?
a) the total number of electrons involved
b) the number of possible location(s) of the atom(s)
c) the energy level an electron is in
d) the probability density
e) the nutation of the atom
39.3.2. Consider an electron trapped in a one-dimensional trap. Which
one of the following statements correctly describes the lowest
energy level according to the text?
a) The lowest energy such an electron can have is always negative.
b) The lowest energy such an electron can have is always positive.
c) The lowest energy such an electron can have is zero.
d) The lowest energy such an electron can have may be positive,
negative, or zero.
e) The lowest energy such an electron can have cannot be calculated.
39.3.2. Consider an electron trapped in a one-dimensional trap. Which
one of the following statements correctly describes the lowest
energy level according to the text?
a) The lowest energy such an electron can have is always negative.
b) The lowest energy such an electron can have is always positive.
c) The lowest energy such an electron can have is zero.
d) The lowest energy such an electron can have may be positive,
negative, or zero.
e) The lowest energy such an electron can have cannot be calculated.
39.3.3. What is a quantum jump?
a) when an electron tunnels through a potential barrier
b) when a particle moves from one well to another
c) when an electron changes energy levels
d) when an electron changes from exhibiting wave-like properties to
particle-like properties
e) when a particle’s speed changes in quantized amounts
39.3.3. What is a quantum jump?
a) when an electron tunnels through a potential barrier
b) when a particle moves from one well to another
c) when an electron changes energy levels
d) when an electron changes from exhibiting wave-like properties to
particle-like properties
e) when a particle’s speed changes in quantized amounts
39.3.4. Photons are directed at an electron within a confined system. Which of the
following correctly describes the requirement for the energy of a photon if it is
to cause the electron to move from a lower state to a higher state within the
system?
a) The energy of the photon must be must be equal to or larger than the zero point
energy.
b) The energy of the photon must be must be equal to the energy of the lower state.
c) The energy of the photon must be must be equal to the energy of the higher state.
d) The energy of the photon must be must be smaller than the energy difference
between the initial and final states.
e) The energy of the photon must be must be equal to the energy difference between
the initial and final states.
39.3.4. Photons are directed at an electron within a confined system. Which of the
following correctly describes the requirement for the energy of a photon if it is
to cause the electron to move from a lower state to a higher state within the
system?
a) The energy of the photon must be must be equal to or larger than the zero point
energy.
b) The energy of the photon must be must be equal to the energy of the lower state.
c) The energy of the photon must be must be equal to the energy of the higher state.
d) The energy of the photon must be must be smaller than the energy difference
between the initial and final states.
e) The energy of the photon must be must be equal to the energy difference between
the initial and final states.
39.3.5. What is the term used for the lowest energy level of an atom?
a) ionization energy
b) nucleation energy
c) fermi level
d) ground state
e) work function
39.3.5. What is the term used for the lowest energy level of an atom?
a) ionization energy
b) nucleation energy
c) fermi level
d) ground state
e) work function
39.4.1. What does the correspondence principle state?
a) For every action, there is a corresponding force.
b) When quantum numbers become very large, classical and quantum
physics merge.
c) Matter waves and electromagnetic waves correspond to each other
at the level of very small quantum numbers.
d) A particle trapped inside an infinitely deep potential well will have
quantized energy states.
e) In quantum mechanics, matter and energy are indistinguishable.
39.4.1. What does the correspondence principle state?
a) For every action, there is a corresponding force.
b) When quantum numbers become very large, classical and quantum
physics merge.
c) Matter waves and electromagnetic waves correspond to each other
at the level of very small quantum numbers.
d) A particle trapped inside an infinitely deep potential well will have
quantized energy states.
e) In quantum mechanics, matter and energy are indistinguishable.
39.4.2. Consider an electron trapped in a one-dimensional, infinitely
deep potential energy well. Which of the following statements
concerning the value of the wavefunction of the electron at the
walls of the well must be true?
a) The value must be negative.
b) The value must be positive.
c) The value must be complex.
d) The value must be zero.
e) The value will vary depending on the quantum number n.
39.4.2. Consider an electron trapped in a one-dimensional, infinitely
deep potential energy well. Which of the following statements
concerning the value of the wavefunction of the electron at the
walls of the well must be true?
a) The value must be negative.
b) The value must be positive.
c) The value must be complex.
d) The value must be zero.
e) The value will vary depending on the quantum number n.
39.4.3. Which of the following statements concerning an electron at its
lowest energy state within a one-dimensional, infinitely deep
potential well is true?
a) The electron is least likely to be near the walls of the well.
b) The electron is least likely to be at the center of the well.
c) The electron is least likely to be found between the center and a
wall.
d) The electron is equally likely to be found anywhere in the well.
e) The electron is least likely to be found anywhere in the well.
39.4.3. Which of the following statements concerning an electron at its
lowest energy state within a one-dimensional, infinitely deep
potential well is true?
a) The electron is least likely to be near the walls of the well.
b) The electron is least likely to be at the center of the well.
c) The electron is least likely to be found between the center and a
wall.
d) The electron is equally likely to be found anywhere in the well.
e) The electron is least likely to be found anywhere in the well.
39.4.4. What is the zero-point energy?
a) The smallest amount of energy that any particle can have in the Universe
is called the zero-point energy.
b) The smallest energy that an electron confined within an atom is zero
joules, which is the zero point energy.
c) The energy that an electron has at the walls of a potential barrier is called
the zero-point energy.
d) Particles in confined systems have a minimum amount of energy that is
not equal to zero, which is called the zero-point energy.
e) The energy that an electron has at the center of a potential well is called
the zero-point energy.
39.4.4. What is the zero-point energy?
a) The smallest amount of energy that any particle can have in the Universe
is called the zero-point energy.
b) The smallest energy that an electron confined within an atom is zero
joules, which is the zero point energy.
c) The energy that an electron has at the walls of a potential barrier is called
the zero-point energy.
d) Particles in confined systems have a minimum amount of energy that is
not equal to zero, which is called the zero-point energy.
e) The energy that an electron has at the center of a potential well is called
the zero-point energy.
39.4.5. What is the purpose of normalizing a wave function?
a) so all wave functions can be compared with each other
b) so the probability density is not a complex number
c) so the wave function is never negative
d) so the probability of finding the particle is one hundred percent
e) so the wave function is positive and never equal to zero
39.4.5. What is the purpose of normalizing a wave function?
a) so all wave functions can be compared with each other
b) so the probability density is not a complex number
c) so the wave function is never negative
d) so the probability of finding the particle is one hundred percent
e) so the wave function is positive and never equal to zero
39.4.6. The square of what parameter indicates the probability of
locating a particle within a region of space?
a) momentum
b) wave function
c) wavelength
d) energy
e) spin
39.4.6. The square of what parameter indicates the probability of
locating a particle within a region of space?
a) momentum
b) wave function
c) wavelength
d) energy
e) spin
39.5.1. Which of the following statements concerning an electron in
the n = 2 state within a one-dimensional, finite potential well is
true?
a) The electron is least likely to be near the walls of the well.
b) The electron is least likely to be at the center of the well.
c) The electron is least likely to be found between the center and a
wall.
d) The electron is equally likely to be found anywhere in the well.
e) The electron is least likely to be found anywhere in the well.
39.5.1. Which of the following statements concerning an electron in
the n = 2 state within a one-dimensional, finite potential well is
true?
a) The electron is least likely to be near the walls of the well.
b) The electron is least likely to be at the center of the well.
c) The electron is least likely to be found between the center and a
wall.
d) The electron is equally likely to be found anywhere in the well.
e) The electron is least likely to be found anywhere in the well.
39.6.1. Several artificial electron traps are described in the text.
Which one of the following choices is not discussed in the text?
a) quantum dot
b) quantum corral
c) superlattice
d) nanocrystallite
39.6.1. Several artificial electron traps are described in the text.
Which one of the following choices is not discussed in the text?
a) quantum dot
b) quantum corral
c) superlattice
d) nanocrystallite
39.8.1. Which one of the following choice is an assumption Bohr
made in formulating his atomic model?
a) Electron energies are quantized.
b) The linear momentum of the electron is quantized.
c) The angular momentum of the electron is quantized.
d) The ground state energy of the hydrogen atom is 13.60 eV.
e) Electrons may be found anywhere in the atom.
39.8.1. Which one of the following choice is an assumption Bohr
made in formulating his atomic model?
a) Electron energies are quantized.
b) The linear momentum of the electron is quantized.
c) The angular momentum of the electron is quantized.
d) The ground state energy of the hydrogen atom is 13.60 eV.
e) Electrons may be found anywhere in the atom.
39.8.2. The Bohr model successfully predicted which one of the
following parameters?
a) The values of the energy levels of the hydrogen atom.
b) The radius of the nucleus of the hydrogen atom.
c) The size of an electron.
d) The electric potential of an electron.
e) The number of neutrons in a given atom.
39.8.2. The Bohr model successfully predicted which one of the
following parameters?
a) The values of the energy levels of the hydrogen atom.
b) The radius of the nucleus of the hydrogen atom.
c) The size of an electron.
d) The electric potential of an electron.
e) The number of neutrons in a given atom.
39.8.3. What was the contribution of Johann Balmer in the study of atomic
spectra?
a) He discovered new lines for the hydrogen spectrum located in the ultraviolet
region.
b) He found a relationship between an empirical formula for hydrogen’s atomic
spectra to Bohr’s model of the atom.
c) He found an empirical equation that gave the values of the observed visible
wavelengths of the hydrogen spectrum.
d) By studying the solar absorption spectrum, he discovered the element
hydrogen.
e) By studying atomic spectra, he discovered that every element has a unique
spectrum.
39.8.3. What was the contribution of Johann Balmer in the study of atomic
spectra?
a) He discovered new lines for the hydrogen spectrum located in the ultraviolet
region.
b) He found a relationship between an empirical formula for hydrogen’s atomic
spectra to Bohr’s model of the atom.
c) He found an empirical equation that gave the values of the observed visible
wavelengths of the hydrogen spectrum.
d) By studying the solar absorption spectrum, he discovered the element
hydrogen.
e) By studying atomic spectra, he discovered that every element has a unique
spectrum.
39.8.4. Which one of the following statements is not part of the Bohr model
of the atom?
a) Electrons emit electromagnetic radiation as they orbit in stationary states.
b) The structure of the atom is that there is a very small, positively charged
nucleus surrounded by electrons.
c) The radii for Bohr orbits depends on the number of protons in the
nucleus.
d) Electrons move in circular orbits.
e) A photon is emitted when an electron drops from a higher energy orbit to
a lower energy orbit.
39.8.4. Which one of the following statements is not part of the Bohr model
of the atom?
a) Electrons emit electromagnetic radiation as they orbit in stationary states.
b) The structure of the atom is that there is a very small, positively charged
nucleus surrounded by electrons.
c) The radii for Bohr orbits depends on the number of protons in the
nucleus.
d) Electrons move in circular orbits.
e) A photon is emitted when an electron drops from a higher energy orbit to
a lower energy orbit.
39.8.5. How many quantum numbers did Bohr use in his model to
identify the various electron orbits?
a) 0
b) 1
c) 2
d) 3
e) 4
39.8.5. How many quantum numbers did Bohr use in his model to
identify the various electron orbits?
a) 0
b) 1
c) 2
d) 3
e) 4
39.9.1. What causes the potential well of a hydrogen atom?
a) the zero-point energy of the atom
b) the quantization of the electron’s angular momentum
c) the electrostatic attraction of the electron and proton
d) the confinement of the electron to the atomic orbitals
e) the magnetic interaction between the spin angular momentum of
the proton and the electron
39.9.1. What causes the potential well of a hydrogen atom?
a) the zero-point energy of the atom
b) the quantization of the electron’s angular momentum
c) the electrostatic attraction of the electron and proton
d) the confinement of the electron to the atomic orbitals
e) the magnetic interaction between the spin angular momentum of
the proton and the electron
39.9.2. Which one of the following choices is not a quantum number?
a) orbital magnetic quantum number
b) principal quantum number
c) shell quantum number
d) orbital quantum number
39.9.2. Which one of the following choices is not a quantum number?
a) orbital magnetic quantum number
b) principal quantum number
c) shell quantum number
d) orbital quantum number
39.9.3. Which one of the following quantum numbers determines the
total energy of an atom?
a) spin quantum number
b) magnetic quantum number
c) orbital quantum number
d) principal quantum number
39.9.3. Which one of the following quantum numbers determines the
total energy of an atom?
a) spin quantum number
b) magnetic quantum number
c) orbital quantum number
d) principal quantum number
39.9.4. Which series of lines in the hydrogen line spectrum involves
electrons making a transition from higher energy levels down to
the lowest energy level?
a) Balmer series
b) Lyman series
c) Paschen series
d) Brackett series
e) Pfund series
39.9.4. Which series of lines in the hydrogen line spectrum involves
electrons making a transition from higher energy levels down to
the lowest energy level?
a) Balmer series
b) Lyman series
c) Paschen series
d) Brackett series
e) Pfund series