For molecular rotation the symbol J rather than l is utilized as the quantum number for angular momentum. A 1H35Cl molecule whose bond length and force constant are 127 pm and 516 N/m, respectively has the rotational quantum number n=0.
(a) Compute the rotational and vibrational energy of the molecule. Compare each of these energies with kT at 300K.
(b) Compute the period for vibration and rotation. Explain how many times does the molecule rotate during one vibrational period?