Can it?
The sun is basically a great amount of nuclear explosions happening all at once :-P

Can't see why not. As you said, a hydrogen bomb is nothing but a sun that last a fraction of a moment.

I should think so.

Probably like %1

It would have little effect on him. Though it does emit some electromagnetic radiation, it mostly emits gamma radiation. Honestly, it would probably put more stress on him, which would probably depower him a little.

Not really sure what a hydrogen bomb is ?

Yeah.....no unfortunately. The sun itself goes through different nuclear fusion reactions to 'burn.' The sun releases a huge amount of radiation from these reactions..... It's like asking, can a hydrogen bomb make plants grow? No....just no.

Just kidding with my last comment :)

Course it can, it's essentially the same reaction that's happening in the sun that's happening in the hydrogen bomb

It might be the same process but are the proportions of the reactants comparable? That would answer your question.

I think so, it would not be a huge boost, but he should be able to draw off of it.

He was shown to draw of Geothermic Energy previously, and in Superman: The Dark Side, the Fire Pits were what kept him powered, albeit at a much lower level. Not to mention, in Ending Battle against Evil Star, he was being charged by Evil Stars energies, which were similar to Solar Radiation.

I say yes.

H-bomb?lol,it's trick