http://www.nikonchat.com/nikkor-dx-35mm/

What happens when i use a DX nikkor lens to a 35mm nikon body?
nikkon suggests not using a dx lens to a film slr but what happens anyway if i do?
DX lenses are used of cropped framed sensors, 35mm cameras have full frame sensors. So, if you put a cropped framed lens of a full frame body, you’re going to get vignetting, the circular lines on the sides and corners of your film photographs.

That’s an example of vignetting ( i didn’t take that picture ) I just found it on flickr. It will physically fit on the camera, but it’s not meant to be on it, and your images will come back majorly vignetted. And, if this is an old 35mm camera, you couldn’t use it at all, because the aperture closes itself when it’s detached from the DX body, and when it’s put on there, it won’t open.
Nikon D5000 with AF-S DX NIKKOR 35mm f/1.8G Video