This is based upon an question I had, since in Jupiter there is no oxygen a simple fire cannot be started let alone even happen due to its temperature. Anyway that being said, If I somehow used a space-shuttle to take a atomic weapon size of Tsar Bomba and successfully detonated the mass-destruction weapon would the entire planet simply be destroyed or what would happen?
That in mind do be aware hydrogen (major component of its atmosphere) is flammable so what would happen?
In short: Nuking Jupiter won't do much.
As you correctly noted, there is definitely not enough oxygen in Jupiter's atmosphere to support combustion, so the bomb would not ignite the hydrogen. "Flammable" only applies in an oxygen-rich environment, or in an environment where oxygen can be liberated from one's surroundings. No luck there.
Hydrogen bombs initiate fusion in hydrogen that is stored inside the weapon, using their initial explosion to create a symmetrical high-pressure situation. They would not initiate fusion outside the weapon. Even Jupiter's hydrogen-rich atmosphere would not start undergoing fusion if you detonated a bomb there.
If you were watching from Earth, you would likely see a small flash of light, and that would be it. Take a look for videos of comets and meteors striking Jupiter; there are some great examples where much more energy is released than in even the largest nuclear bombs.
