Nothing to burn? Seriously - the explosion occurs underwater and it’s not a chemical reaction, so the only stuff that can burn and produce smoke is fish, bits of seaweed, the bomb casing and whatnot. Compared to the volume of water that gets blasted all over the sky and the amount of steam produced, wouldn’t any actual smoke be background noise, so to speak?
Relative to the power of a nuclear explosion, Baker was detonated in very shallow water, only 90 feet or so. Here is a detailed description of the formation of the cloud above the surface:
Bombs ranging in size from briefcases to SUVs produce fireballs a mile in diameter or more. Does the cold and pressure of deep water completely re-absorb that fireball?
Pretty much. Even though the Baker test was shallow, the fireball itself probably never reached the surface.
But then Baker was only quite a small bomb as far as these things go. At 21 kilotonnes, it was merely comparable to those detonated at Trinity, Hiroshima and Nagasaki the year before.