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How deep underwater do I have to dive to be safe from a 1MT Hydrogen bomb detonation above?

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It's just my typical luck: I discover and recover the billion-dollars worth of gold on a sunken galleon on the same day my arch-nemesis decides to detonate a one Megaton hydrogen bomb right above my main surface ship. My arch-nemesis thankfully could not resist the temptation to gloat, so she let me know about it in advance, just to tell me of my doom.

My (perhaps not so brave) initial reaction was to rush to the submersible (all the gold still on it) and start diving without telling any of my surface crew. (I took Mr. Whiskers with me, of course). ... Hmm, on the upside, my labor costs for the mission are about to go waaay down.

Now I need to be moving horizontally as soon as possible (the arch-nemesis will surely send her minions after me). Unfortunately, I can only dive or move horizontally, not both (I know, terrible design, but wrong time to point it out) so I need to know how far I have to dive to be perfectly safe before I switch to the horizontal movement mode.

Is it possible to escape a hydrogen bomb by diving in a submarine? If so, how deep do I need to go?

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This post was sourced from https://worldbuilding.stackexchange.com/q/35604. It is licensed under CC BY-SA 3.0.

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