No, this is not a possibility.
One, if it had enough yield.
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Depending on the strength of the warheads of the nuclear bombs, they would melt a considerable amount of ice and put radiation into the atmosphere. However, the damage would be mostly local and unnoticed.
yes exended use of nuclear bombs would send tons of debris and dust in the air that will block out the sun
If atomic bombs entered a black hole, they wouldn't be able to detonate; instead, they would initially be stretched and crushed, and as they travel beyond the event horizon, they would be converted into gravitational energy. However, if you wereable to manage to get 5000 atomic bombs inside a black hole and detonate them, nothing would happen. The black hole would continue to exist as it always had; it would just be 5000-atomic-bombs-worth-of-weight heavier.
Washington DC , Panama Canal ,
A sufficiently large nuclear war would not cause global warming. Instead it would cause a Nuclear Winter: massive global cooling due to enormous amounts of soot in the atmosphere. This would probably result in an ice age.
Both basically are the same, they can be fission or fusion bombs like Uranium,Plutonium and Hydrogen bombs. A general description would be that atomic bombs are fission bombs. Nuclear bombs are fusion bombs. Fusion bombs are more powerful weight for weight
Nuclear bombs are so powerful, and release so much radioactive fallout, that any large-scale use of nuclear bombs would kill everbody and make the world uninhabitable.
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Start by assuming some 'facts' that would start a nuclear winter. How many bombs must be dropped to actually start a nuclear winter situation? For each bomb, how much dust is kicked up into the atmosphere? Of that, how much will stay in the upper atmosphere? How much sunlight will then be reflected, causing the cooling effect? Make all these estimations. Keep going from there.