大学MOOC 量子化学(南京大学)1462082163 最新慕课完整章节测试答案
Chapter 1 The Dawn of the Quantum Theory
文章目录
- Chapter 1 The Dawn of the Quantum Theory
- Chapter 2 The Postulates and General Principles of Quantum Mechanics
- Chapter 3 Exact Energies and Wave Functions for Simple Systems
- Chapter 4 The Hydrogen Atom
- Chapter 5 Approximate Methods
- Chapter 6 Many‒Electron Atoms
- Chapter 7 Theory of Chemical Bonding in Molecules
- Chapter 8 Computational Quantum Chemistry
Blackbody Radiation and Photoelectric Effect
1、单选题：
Calculate the ionization energy of the hydrogen atom in the Lyman Series (
)using Rydberg formula (convert it to wavelength 
).
选项：
A: 121.6 nm
B: 91.2 nm
C: 364.7 nm
D: 656.5 nm
答案: 【 91.2 nm】
Test 1 The Dawn of the Quantum Theory
1、单选题：
Which of the following phenomena does not represent the wave property of the light?
选项：
A: Interference of light.
B: Diffraction of light.
C: Polarization of light.
D: Photoelectric effect.
答案: 【 Photoelectric effect.】
2、单选题：
Why is Planck known as the father of quantum mechanics?
选项：
A: Find the phenomenon of radiation from heated objects.
B: Propose the concept of photon.
C: Propose the discontinuity of radiation energy.
D: Found the matrix mechanics.
答案: 【 Propose the discontinuity of radiation energy.】
3、单选题：
Calculate the first line of the hydrogen atom in the Lyman Series (
) using Rydberg formula (convert it to wavelength 
选项：
A: 121.6 nm
B: 91.2 nm
C: 364.7 nm
D: 656.5 nm
答案: 【 121.6 nm】
4、单选题：
Which of the following is not true for hydrogen atom ?
选项：
A: The frequency of the lines versus 
is linear in hydrogen atom spectrum.
B: As 
the lines come closer and closer.
C: The wavelength of the lines versus 
is linear in hydrogen atom spectrum.
D: Lines belong to the same series in hydrogen absorption spectrum have the same initial state.
答案: 【 The wavelength of the lines versus is linear in hydrogen atom spectrum.】
5、单选题：
If the kinetic energy of an electron is increased by 21%,what is the percentage change in its de Broglie wavelength?
选项：
A: 21%
B: 10%
C: 5.2%
D: 9.1%
答案: 【 9.1%】
6、单选题：
Which of the following statements is True?
选项：
A: According to Heisenberg's uncertainty Principle, we can not know any two properties of a system simultaneously.
B: If we improve our instruments and experiment technique, we can simultaneously detect the position and velocity of the molecule fullerene 
C: Due to the uncertainty principle, it is impossible to predict the evolution of a system with time.
D: If the lifetime (
) of an excited state is very short, the peak of spectrum (
) will be very broad.
答案: 【 If the lifetime () of an excited state is very short, the peak of spectrum () will be very broad.】
7、单选题：
What are the assumptions in Bohr's hydrogen atom model?
选项：
A: The electron has a stable orbit around the nucleus.
B: When an electron rotates around the nucleus, it radiates electromagnetic waves due to the constant change of its velocity.
C: The energy and the the angular momentum of an electron is quantized.
D: The motion of an electron can be described by a wave function.
答案: 【 The energy and the the angular momentum of an electron is quantized.】
8、单选题：
Which of the following are Einstein's hypotheses for explaining the photoelectric effect?
选项：
A: Light consists of indivisible particles called photons with energy and momentum.
B: The energy of light is proportional to the square of the amplitude.
C: The energy of a photon is proportional to its frequency.
D: 
, where T is the kinetic energy of excited electrons on the surface of metal, and W
答案: 【 , where T is the kinetic energy of excited electrons on the surface of metal, and W】
Chapter 2 The Postulates and General Principles of Quantum Mechanics
Test 2 The Postulates and General Principles of Quantum Mechanics
1、单选题：
Which of the following is not required for a function to be well-behaved wave function？
选项：
A: It has to be continuous.
B: It has to have the same value for an angular variable α and for α + 2π.
C: It must not tend to infinity.
D: It must be a real function.
答案: 【 It must be a real function.】
2、单选题：
Which of the following can be the definition of a Hermitian operator (f and g are arbitrary functions)?
选项：
A: 
B: 
C: 
D: 
答案: 【 】
3、单选题：
For a Hermitian operator 
and all functions ψi
选项：
A: 
B: 
C: 
D: 
答案: 【 】
4、单选题：
Which of the following is not the property of Hermitian operators?
选项：
A: The eigenvalues of a Hermitian operator are real.
B: The eigenvectors of a Hermitian operator are orthogonal.
C: The product of two Hermitian operators must be Hermitian.
D: The sum of two Hermitian operators must be Hermitian.
答案: 【 The product of two Hermitian operators must be Hermitian.】
5、单选题：
If the two operators 
and 
选项：
A: Any eigenfunction of 
represents also an eigenfunction of 
B: One can choose a common set of functions, that are eigenfunctions of 
and 
.
C: Their corresponding observable quantities have simultaneously well-defined values.
D: 
答案: 【 Any eigenfunction of represents also an eigenfunction of 】
6、单选题：
Which of the following statement about Time-independent Schrödinger equation is not true?
选项：
A: It is satisfied by a wave function that is an eigenfunction of the Hamiltonian of the system.
B: Any solution of this equation corresponds to a physically acceptable state of the system.
C: An eigenvalue may correspond to several linearly independent eigenfunctions.
D: Energy levels represent eigenvalues of this equation.
答案: 【 Any solution of this equation corresponds to a physically acceptable state of the system.】
7、单选题：
Which of the following statement about time-dependent Schrödinger equation is not true?
选项：
A: It describes the evolution in time of any quantum state.
B: It takes the form: 
.
C: It allows to calculate the time derivative of a wave function from its spatial-coordinate dependence at a fixed time.
D: If 
does not depend on time, its solution reads as 
答案: 【 It takes the form: .】
8、单选题：
Which of the following statement is True?
选项：
A: 
is an eigenvalue of the position operator 
B: 
is an eigenfunction of the position operator 
C: The position operator 
is a linear operator.
D: 
is a linear operator.
答案: 【 The position operator is a linear operator.】
9、单选题：
Which of the following statement is not True?
选项：
A: The product of two linear operators is a linear operator.
B: The product of two Hermitian operators is an Hermitian operator.
C: The sum of two linear operators is a linear operator.
D: The sum of two Hermitian operators is an Hermitian operator.
答案: 【 The product of two Hermitian operators is an Hermitian operator.】
10、单选题：
If 
and 
are both Hermitian, which of the following operator is not necessarily Hermitian?
选项：
A: 
B: 
C: 
D: 
答案: 【 】
11、单选题：
Which of the following statement is True ?
选项：
A: Two linearly independent eigenfunctions of the same Hamiltonian is always orthogonal to each other.
B: Every linear combination of eigenfunctions of the Hamiltonian is an eigenfunction of the Hamiltonian operator.
C: A linear combination of two solutions to the time-independent Schrödinger equation must be a solution of this equation.
D: A linear combination of two solutions to the time-dependent Schrödinger equation must be a solution of this equation.
答案: 【 A linear combination of two solutions to the time-dependent Schrödinger equation must be a solution of this equation.】
12、单选题：
where 
and 
are orthonormal eigenfunctions with the eigenvalues 
and 
选项：
A: The probability of finding the system in the energy 
is 
B: 
is 
C: The probability of finding the system in the energy 
is 
D: The probability of finding the system in the energy 
is 
答案: 【 is 】
13、单选题：
Which of the following identity is not correct?
选项：
A: 
B: 
C: 
D: 
答案: 【 】
14、单选题：
and 
and all functions 
and 
选项：
A: 
,provided 
B: 
C: 
D: 
答案: 【 】
15、单选题：
Which of the following operators meet the requirements for a quantum mechanical operator that is to represent a physical quantity?
选项：
A: 
B: 
C: 
D: 
答案: 【 】
16、单选题：
Which of the following statement is true?
选项：
A: The state function is always an eigenfunction of the Hamiltonian
B: The normalized state function is dimensionless (that is,has no units)
C: The probability density is independent of time for a stationary state.
D: The state function is always equal to a function of time multiplied by a function of coordinates.
答案: 【 The probability density is independent of time for a stationary state.】
17、单选题：
Which of the following pairs of functions are orthogonal on the interval [-1,1]?
选项：
A: 
B: 
C: 
D: 
答案: 【 】
Chapter 3 Exact Energies and Wave Functions for Simple Systems
Test 3 Exact Energies and Wave Functions for Simple Systems
1、单选题：
For a particle in a box, which of the following statement is True?
选项：
A: The ground state has a quantum number n=0.
B: The stationary-state wavefunctions are discontinuous at certain points.
C: The maximun probability density for every stationary-state wavefunction is at the center of the box.
D: The frequency of the absorption transition from quantum number 
to 
increases as the value of the quantum number 
答案: 【 The frequency of the absorption transition from quantum number to increases as the value of the quantum number 】
2、单选题：
For the energy eigenvalues and eigenfunctions of a particle in a box, which of the following statement is not true?
选项：
A: The energy eigenvalues are doubly degenerate because the box is symmetric.
B: The eigenfunctions are orthogonal.
C: Increasing box length results in lower energy levels and smaller distance between them.
D: The energy levels of a heavier particle are lower than those corresponding to a lighter particle.
答案: 【 The energy eigenvalues are doubly degenerate because the box is symmetric.】
3、单选题：
If 
stands for the kinetic energy of the particle encountering a rectangular barrier of height 
,