Coupling constants between hydrogen and fluorine nuclei are often quite large: ${ }^3 J_{\mathrm{HF}} \equiv 3-25 \mathrm{~Hz}$ and ${ }^2 J_{\mathrm{HF}} \equiv 44-81 \mathrm{~Hz}$. Since fluorine-19 has the same nuclear spin quantum number as a proton, we can use the $n+1$ Rule with fluorine-containing organic compounds. One often sees larger $\mathrm{H}-\mathrm{F}$ coupling constants, as well as smaller $\mathrm{H}-\mathrm{H}$ couplings, in proton NMR spectra.
(a) Predict the appearance of the proton NMR spectrum of $\mathrm{F}-\mathrm{CH}_2-\mathrm{O}-\mathrm{CH}_3$.
(b) Scientists using modern instruments directly observe many different NMR-active nuclei by changing the frequency of the spectrometer. How would the fluorine NMR spectrum for $\mathrm{F}-\mathrm{CH}_2-\mathrm{O}-\mathrm{CH}_3$ appear?