(a) Use the result of Problem 42.38 to calculate the equilibrium separation of the atoms in HC1 molecule. The mass of a chlorine atom is 5.81 x 10-26 kg, and the mass of a hydrogen atom is 1.67 x 10-27 kg.
(b) The value of I changes by ±1 in rotational transitions. What is the value of l for the upper level of the transition that gives rise to each of the wavelengths listed in Problem 42.38?
(c) What is the longest-wavelength line in the rotational spectrum of HC1?
(d) Calculate the wavelengths of the emitted light for the corresponding transitions in the deuterium chloride (DCI) molecule. In this molecule the hydrogen atom in HC1 is replaced by an atom of deuterium, an isotope of hydrogen with a mass of 3.34 x 10-27 kg. Assume that the eqni1ibrium separation between the atoms is the same as for HCI.