Question 1: Are the following statements true or false? If false explain briefly why. (a) Allowed spectroscopic transitions occur when the dipole-moment operator, and final and initial state wave functions are all orthogonal. (b) With respect to nuclear displacement, vibrational wave functions decay more rapidly for smaller masses. (c) A harmonic oscillator wavepacket is localized at the same place at times T and 2T, where T represents the classical period of the oscillator.

Question 1: Are the following statements true or false? If false explain briefly why. (a) Allowed spectroscopic transitions occur when the dipole-moment operator, and final and initial state wave functions are all orthogonal. (b) With respect to nuclear displacement, vibrational wave functions decay more rapidly for smaller masses. (c) A harmonic oscillator wavepacket is localized at the same place at times T and 2T, where T represents the classical period of the oscillator.