First, if there's a good reason you're unable to use a wired connection from your desktop to your cable modem(distance and/or too many obstructions for running the cable such as walls/floor/ceiling) then a Wi-Fi connection would be a suitable solution for it. Otherwise, I don't see the point in having a desktop use Wi-Fi instead of a direct cable connection unless you're in the habit of frequently relocating your desktop in the house and cables are an issue.
Second, there are a number of factors that can determine whether 2.5 or 5 Ghz would be better suited for your Wi-Fi. If you live in an area where others(neighbors, businesses, etc.) use Wi-Fi, you'll probably end up experiencing a lot of dropped connections. I know from experience that when I used 2.5 Ghz, every time my neighbor connected to their Wi-Fi or turned on their wireless router/cable modem, my computer's connection to my own Wi-Fi would get dropped and I would have to reconnect. Just imagine how frequently your connection is going to get dropped/interrupted if you live near 3 or more families/households that have multiple devices connecting at various times to their own Wi-Fi, using cell phones, or other devices that use a 2.5 Ghz band. It could be a real headache. This is why I use 5 Ghz instead of 2.5 Ghz. In order to use the 5 Ghz band, BOTH your wireless router(most cable modems today have it built in, i.e. an all-in-one) and the wireless network adapter/card(installed on your desktop) must support it. If only one or the other has it, you will not be able to use the 5 Ghz band.
However, it should be noted that 5 Ghz has a much shorter range than 2.5 Ghz and does not penetrate solid obstacles as well. As I said before, if its feasible, use a wired connection for your desktop as this will eliminate any connection issues that could arise with it from Wi-Fi and eliminate the need of installing/purchasing additional hardware for your desktop.