Nothing would have happened to them. If they went off it would finish what the Great War started.
Why would nukes set off Yellowstone? Also even though many people believe that a nuclear war would kill us all which was why we haven't had one (yet) the Chinese at least under Mao Zedong believed China could. Even still most nations would (and have) prepare for at least a chance to survive, including China. So why add to the horrors and total devistation that a nuclear war world war would cause all on it's own by setting off the world's super valcanos?
This whole thing is about "hey what if China launched nukes at Yellowstone." Which is saying "a nuke would set it off." Target it to set it off.
I am asking why would nukes even cause that? Setting aside the science behind that.. Why would China or anyone else do it if it was even possible. Yellowstone blowing would screw over more then just the United States but the world. China and everyone else would have/were already trying to figure out how to survive a nuclear world war which would be very slim at best.. so why compound that already slim to zero chance of survival with setting off a super valcanon(s)?
I agree with Styles,
Yellowstone Super Eruption would be felt world wide but of course North America would feel it the most. The thing is would it be worse than the outcome of the Great War who knows. Both events are enough to cause massive extinctions and a great loss to life.
I do not even know if a nuclear blast would cause an eruption of a volcano.
Magma/lava isn't the threat of a Super Valcano. Targetting it in the hopes lava will ooze out and cause damage is pointless. What makes Yellowstone and other Super Valcanoes a major threat is the insainly large pyroclastic eruption. It's the same thing with even normal valcanos. Lava flows are very slow and very harmless since you can simply out walk them. It's when a Valcano blows up like http://en.wikipedia.org/wiki/1980_eruption_of_Mount_St._Helens that make valcano and super valcanoes a threat.
So if we are talking "hey target Yellowstones to crack it open to get lava to come out" as a tactic. Then it is a very pointless one and a waste of nukes.
Which is why I thought you were talking about "hey target Yellowstone to cause the next Krakatoa."
If it doesn't blow up in a pyroclastic eruption then there is no threat. If a hole was made so lava can escape it will just cool and become solid rock again. Sooner or later it will just scab back over. No threat. Plus Yellowstone is in a giant wilderness area in a state that is the least populated state in America (Wyoming). So whatever lava does escape and spread before it cools wouldn't cause much damage.
So again not a very practical tactic and a waste of nukes. If you have this idea that lava will ooze out and cover the 48 lower states or most of them. That is to put it nicely, silly.