Problem 6.172

Evaluate how many lines there are in a true rotational spectrum of CO molecules whose natural vibration frequency is $\omega=4.09 \cdot 10^{14} \mathrm{~s}^{-1}$ and moment of inertia $I=1.44 \cdot 10^{-39} \mathrm{~g} \cdot \mathrm{cm}^{2}$.