I have never seen galvanized exhaust pipes. That's not to say such a thing does not exist, but the pipe in the picture does not appear to be galvanized. Also, as posted above I don't think that you would have any trouble if you did have it in the exhaust side. The temperatures won't get high enough to cause any trouble, and won't be in contact with the food.
In any event your question was how do you tell. To answer, hot dip galvanized will be flat gray and may have a scaly appearance, think bulk deck screws. Zinc plated (essentially the same thing) will have a marbled shiny gray appearance, think forced hot air heating duct.