Juestion Two: Circle T for True statements and F for false statements in the following sentences: (I pt each) T F If the operators of two properties do not commute, then the corresponding properties can't be I F The angular momentum operators in the with each other, and also do not commute x and z directions (L^x,L^y,L^z) do not commute operator, L2. I F The second vibrational wavefunction has two nodes. T F The highest probability of finding a particle in a box of length L when n=0 is at the center of I F the box. SF6 is an example of spherical rotor and CO2 is an example of linear rotor. T F The moments of inertia (Ix,Iy,Iz) in the case of linear and diatomic rotors are all equivalent. T F The solution of the Schrdinger equation of the hydrogen atom has two part, one is positive for the bound state and the other is negative for the non-bound state. T F The parity of is a term that is related to inversion through a center of symmetry in the molecular wavefunction. T F Fluorescence, phosphorescence and photochemical reaction are radiative ways of elimination (loss) of excitation energy. T F four-level laser is more effective than three-level laser since the population inversion is more effective. T F Neodymium laser is an example on solid-state four-level laser. T F Population inversion is a basic requirement for laser and it means that the energy of the emitted light is higher than the energy of excitation. Question Three: Fill in the blanks below: 1. Examples of non-radiative relaxation processes are: a) b) 2. Write two other types of relaxation processes which are not mentioned above? (3pts) a) b) Question Four: Consider benzene molecule, C6H6, rigid rotor then answer (a) and (b) below? a) What is the type of that rotor? b) Write the rotational energy expression for that rotor in terms of the angular momenta Jx,Jy,Jz and the perpendicular I and parallel Imoments of inertia