In the HBr molecule, the mass of the bromine nucleus is 80 times that of the hydrogen nucleus (a single proton); consequently, in calculating the rotational motion of the molecule, one may, to a good approximation, assume that the Br nucleus remains stationary as the H atom (mass 1.67 x 10-27 kg) revolves around it. The separation between the H atom and bromine nucleus is 0.144 nm. Calculate

(a) The moment of inertia of the HBr molecule about the bromine nucleus, and

(b) The rotational energies for ℓ = 1, ℓ = 2, and ℓ = 3.