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CHEM106 Final Exam - Physical Chemistry II
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MCQS on the principles and laws of quantum mechanics as well as the interaction between matter and electromagnetic waves.
 

CHEM106 Final Exam - Physical Chemistry II
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25 Questions

1. The symmetry operation
group can be represented as a three-dimensional matrix by:
2. The symmetry operation
group can be represented as a three-dimensional matrix by:
3. Using the character table for the
group given below, what is the number of one-dimensional irreducible representations?
4. The atomic emission spectra of the hydrogen atom show a red line at a wavelength of 656 nm. Given that the speed of light is 3.0 x 10^(8) m/s and Planck's constant is 6.626 x 10^(-34) J S, what is the energy possessed by one photon?
5. Which of the following functions is not an eigenfunction of the operator
?
6. For which of the following transitions is the frequency of light absorption the highest for a heteronuclear diatomic molecule like HBr?
7. In a typical ro-vibrational absorption spectrum with a v = 0 to v = 1 transition, which of the following lines occurs at the lowest frequency?
8. In a NMR experiment, a radio frequency (RF) signal is applied to the sample, in addition to the magnetic field. What happens to the spins of the sample?
9. In solving the Schrödinger equation for the harmonic oscillator, satisfying the boundary conditions imposes:
10. For a one-dimensional system, the potential energy function is described by
. The Schrödinger equation for the system is
11. For a given system, the wavefunction is given by
is:
12. The IR spectra for the hydrogen bromide molecule (HBr) display a peak at 2558 cm^(-1). Assuming the diatomic vibration can be treated as a harmonic oscillator, calculate the energy for the first vibrational excited state of HBr.
13. Acceptable wave functions must satisfy which of the following requirements?
14. The character table for the
group is given below. How many three-dimensional irreducible representations are there?
15. Identify all symmetry elements in the trigonal planar
molecule.
16. A physical requirement on an acceptable wave function is that it must be:
17. For a one-dimensional system, the potential energy function is described by
. The Schrödinger equation for the system is:
18. The electronic energy levels of the hydrogen atom are shown in the diagram below. According to the Bohr model of the atom, how many lines will be observed in the atomic emission spectra if the electron is excited to the level with energy of -0.85 eV?
19. Which of the following is an acceptable wave function?
20. The expectation value for a physical observable represented by a Hermitian operator
is:
21. What is the total number of microstates in a
term of the ground state iron atom?
22. The vibrational frequency for the hydrogen bromide molecule (HBr) is 2558 cm^(-1). Assuming the diatomic vibration can be treated as a harmonic oscillator, calculate the zero-point energy for HBr.
23. For the three-dimensional particle in a box system, the Hamiltonian is separable, i.e.,
. The total energy of the system can be expressed as:
24. One phenomenon that demonstrates the particle nature of light is:
25. The energy operator in quantum mechanics, , is called the:

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