1. For rotational motion of a mass in 2 dimensions, the moment of inertiais... a) b) m c) d) none are correct 2. If the mass of a quantum particle in circular harmonic motion doubles, what change in energy, AE, is expected? a) 21 b) m? 21 d) none are correct 3. For circular harmonic motion... a) the energy is doubly degenerate except for when m-0. b) P, = c) P, depends on mass d) none are correct 4. Consider circular harmonic motion in a system of two quantum particles of masses, m; and me. The energy of the system would be... zi 21 2ur? d) none are correct
For a 3-dimensional rigido.. a) Hermine polynomials are used to solve for the wavefunction b) The energy depends on / but set on me c) The wavefunctions for m-1 and I would be the same a) The energy does not depend on mass 6 A change in the quantum number of a 3-dimensional rigidroter does not affect which of the following? a) the total angular momentum b) the 2-component of the angular momentum c) both the total angular momentum and the component of the angular momentum d) none are correct 7 Which of the following is true for the 3-dimensional rigid rotor? a) -- b) The energy of the 4:.. wavefunction is 27 c) Pe=2h d) none are correct 8. The potential energy term in the Hamiltonian for the hydrogen atom... a) arises from the electrostatic interaction between the electron and the proton. b) is positive. c) is dependent on the speed of light. d) all are correct 9. For hydrogen-like atoms, the number of orbitals... a) equals n b) equals 2n c) equals n' d) equals 2n
10 Which of the following is true for the hydrogen a) An analytical solution is not possible b) The degeneracy of the hydroge eiser c) The total anular moment and the component of the guler momentum are both obrable d) all are true 11. The ... orbitali... a) the 2x bital b) the 2p, orbital c) the 2p, orbital d) none are correct 12 +99-1) and 50:- 1-3-1)... a) are degenerate b) have the same energy as 2.1.2 c) are real valued d) all are true 13. Spin... a) is the rotation of a particle about an internal axis. b) is an intrinsic property of particles like electrons. c) has no observable angular momentum or 2-component of the angular momentum d) all are true 14. Which of the following quantum numbers is necessary to fully specify a state? a) n, 1 ms, m b) n, 1, m. c) n, 1, m, m, d) n, mi, s, m,
15. Fermions. .) have nowymmetric wavefunctions b) have integer spin c) include photos d) all are corre 16 The Pauli Exclusion Principle... a) requires wavefunctions for electrons to be untisment with respect to exchange of electrons b) results in non-zero Slater determinants c) indicates that no two electrons in the same atom have the same set of quantum numbers d) all are correct 17. As electrons are added to an atom, a) they will reside in the next lowest numbered orbital. b) they will reside in the orbital that results in the lowest total energy for the stom. e) they will pair up before occupying an empty degenerate orbital d) none are correct 18. Treating the motion of electrons independent from nuclear motion... a) is the Born-Oppenheimer Approximation b) is necessary in perturbation theory, e) is necessary in variation theory. d) none are correct 19. For pure rotational transitions to lead to an absorption or emission,... a) the molecule cannot be linear. b) the molecule must be a symmetric top. c) the molecule must have a permanent dipole moment. d) none are correct
For pure rotational transitions,... a) there is a restriction on which wavefunctions can be involved in the transition b) A) = 11 c) both a) and b) are true d) none are correct True or False: Please select the best answer 21. TIF The angular momentum quantum number is L. 22 TIF 23. ТЕ The atomic number for hydrogen like species affects both the kinetic and potential energy terms of the Hamiltonian. The total energy of hydrogen-like species is positive Each orbital has a unique wavefunction. For hydrogen-like species, the group of wavefunctions having the same energy comprise a shell 24. TIF 25. TIF 26. T/F Wavefunctions of a subshell have the same value but different I values. 27. T/F All electrons have spin of Y. 28. T/F 29. T/F Changing only the spin of an electron in the hydrogen atom will not change the energy Perturbation theory and variational theory are capable of high accuracy, Rotations in linear molecules are only observable along 2 orthogonal directions 30. T/F I hope our journey through quantum concepts this semester has helped to better explain the foundations of modern chemistry. I have enjoyed showing you the key findings of a remarkable human accomplishment. May you endeavor to learn all that you can Have a great summer! Dr. Turner
1. For rotational motion of a mass in 2 dimensions, the moment of inertiais... a) b) m c) d) none are correct 2. If the
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1. For rotational motion of a mass in 2 dimensions, the moment of inertiais... a) b) m c) d) none are correct 2. If the
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