2021 量子化学(南京大学) 最新满分章节测试答案
- Chapter 1 The Dawn of the Quantum Theory Test 1 The Dawn of the Quantum Theory
- 【作业】Chapter 1 The Dawn of the Quantum Theory Exercise 1 The Dawn of the Quantum Theory
- Chapter 2 The Postulates and General Principles of Quantum Mechanics Test 2 The Postulates and Gener
- 【作业】Chapter 2 The Postulates and General Principles of Quantum Mechanics Exercise 2 The Postulates a
- Chapter 3 Exact Energies and Wave Functions for Simple Systems Test 3 Exact Energies and Wave Functi
- 【作业】Chapter 3 Exact Energies and Wave Functions for Simple Systems Exercise 3 Exact Energies and Wav
- Chapter 4 The Hydrogen Atom Test 4 The Hydrogen Atom
- 【作业】Chapter 4 The Hydrogen Atom Exercise 4 The Hydrogen Atom
- 【作业】Chapter 5 Approximate Methods Exercise 5 Approximate Methods
- Chapter 5 Approximate Methods Test 5 Approximate Methods
- Chapter 6 Many‒Electron Atoms Test 6 Many‒Electron Atoms
- 【作业】Chapter 6 Many‒Electron Atoms Exercise 6 Many‒Electron Atoms
- Chapter 7 Theory of Chemical Bonding in Molecules Test 7 Theory of Chemical Bonding in Molecules
- 【作业】Chapter 7 Theory of Chemical Bonding in Molecules Exercise 7 Theory of Chemical Bonding in Molec
- Chapter 8 Computational Quantum Chemistry Test 8 Computational Quantum Chemistry
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本课程起止时间为:2021-03-31到2021-06-13
Chapter 1 The Dawn of the Quantum Theory Test 1 The Dawn of the Quantum Theory
1、 问题: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、 问题: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、 问题:Calculate the first line of the hydrogen atom in the Lyman Series (
选项:
A:121.6 nm
B:91.2 nm
C:364.7 nm
D:656.5 nm
答案: 【121.6 nm】
4、 问题:Which of the following is not true for hydrogen atom ?
选项:
A:The frequency of the lines versus
B: As
C:The wavelength of the lines versus
D:Lines belong to the same series in hydrogen absorption spectrum have the same initial state.
答案: 【The wavelength of the lines versus
5、 问题: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、 问题: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 (
答案: 【If the lifetime (
7、 问题: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、 问题: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:
答案: 【
【作业】Chapter 1 The Dawn of the Quantum Theory Exercise 1 The Dawn of the Quantum Theory
小提示:本节包含奇怪的同名章节内容
1、 问题:Show that at low frequencies, Planck’s blackbody formula can be approximated by the Rayleigh-Jeans formula. Hint: Look up the Taylor series expansion of
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2、 问题:The work function of very pure Na is 2.75 eV, where
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3、 问题:A ground-state hydrogen atom absorbs a photon of light that has a wavelength of 97.2 nm. It then gives off a photon that has a wavelength of 486 nm. What is the final state of the hydrogen atom?
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4、 问题:Calculate that:(a) the wavelength and kinetic energy of an electron in a beam of electrons accelerated by a voltage increment of 100 V;(b) the kinetic energy of an electron that has a de Broglie wavelength of 200 pm (1 picometer =
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5、 问题:Show that the speed of an electron in the nth Bohr orbit of a hydrogen-like ion with a nuclear charge
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6、 问题:Calculate the de Broglie wavelength for (a) an electron with a kinetic energy of 100 eV, (b) a proton with a kinetic energy of 100 eV, and (c) an electron in the first Bohr orbit of a hydrogen atom.
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7、 问题:An electron is confined to a linear region with a length of the same order as the diameter of an atom (about 100 pm). Calculate the minimum uncertainties in its speed. (a quantitative version of uncertainty relationship is
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8、 问题:An electron is confined to a linear region with a length of the same order as the diameter of an atom (about 100 pm). Calculate the minimum uncertainties in its speed. (a quantitative version of uncertainty relationship is
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Chapter 2 The Postulates and General Principles of Quantum Mechanics Test 2 The Postulates and Gener
1、 问题: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、 问题: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、 问题:For a Hermitian operator
选项:
A:
B:
C:
D:
答案: 【
4、 问题: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、 问题:If the two operators
选项:
A:Any eigenfunction of
B:One can choose a common set of functions, that are eigenfunctions of
C:Their corresponding observable quantities have simultaneously well-defined values.
D:
答案: 【Any eigenfunction of
6、 问题: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、 问题: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
答案: 【It takes the form:
8、 问题:Which of the following statement is True?
选项:
A:
B:
C:The position operator
D:The operator
答案: 【The position operator
9、 问题: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、 问题:If
选项:
A:
B:
C:
D:
答案: 【
11、 问题:Which of the following statement is True ?
选项:
A:Two linearly independent eigenfunctions of the same Hamiltonian is always orthogonal to each other.
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