Solution
= Solution
For a <linear rigid rotor>, dividing the <angular momentum> squared <eigenvalue> by twice the <moment of inertia> gives
$$
\boxed{E_J=\frac{\hbar^2}{2I}J(J+1),\qquad g_J=2J+1.}
$$
The <quantum degeneracy> counts the values $M=-J,\ldots,J$ with the same <energy>. It excludes nuclear-spin multiplicity and any fine or hyperfine splitting absent from this model.