I was presented with this question and I started working on it but I ran into a problem.
We've got $\Delta E_{rot} = 2B_e(J+1) $ and $\Delta E_{vib} = \hbar \omega$
We get to the point that we've got $J= \hbar\omega/(2B_e)-1$ but we know that J should be a lot larger than 1 so we don't quite know what we've done wrong. Can anyone help us?
We are given that $\omega _e =4400$ and $B_e = 60.9$