The meaning of the word nuclear weapon, is a weapon that has a
nuclear warhead on it.
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This nuclear weapon is called an atomic bomb or a nuclear
bomb
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An atomic weapon is an alternative name for a nuclear weapon, a
weapon which derives its energy from the nuclear reactions of
either fusion or fission.
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Nuclear weapon detonations
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If by "bomb" you mean a conventional explosive weapon, then the
nuclear weapon is more powerful.