They will ask for a working model (not normally a requirement).
My understanding is that they will reject the application as not being "useful" or inoperative. However frankly I have never filed such an application so I don't have any firsthand knowledge. (Patent, jump in any time)
Speaking only about the US (patent laws aren't the same everywhere), if he has filed a patent they have to give it a proper examination. They will require some sort of proof that it works though, that it has utility. He admits he can't show perpetual motion, so that isn't an issue as far as I can see. For advertising purposes, if he likes, he can title the application as a perpetual motion machine, but show some utility in saving energy, or energy efficiency, or something like that. If it is a more efficient widget, he should get a patent.
patent