A perturbation of H' = sin(x) is applied to a harmonic oscillator whose Hamiltonian is HO = kx?, where k is the force constant. Which of the following statements is not true (a) The first-order contribution of H' to the ground vibrational level (v=0) vanishes. (b) The first-order contribution of H' to the ground vibrational level (v=1) vanishes. (C) The second-order contribution of H' to the ground vibrational level (v=0) by the v=1 level vanishes. (d) The second-order contribution of H' to the ground vibrational level (v=0) by the v=2 level vanishes