Step 1: Sulfate reduction
The process of converting sulfate (SO$_4^{2-}$) into hydrogen sulfide (H$_2$S) is known as dissimilatory sulfate reduction. This is carried out by sulfate-reducing bacteria (SRB) under anaerobic conditions.
Step 2: Role of Desulfovibrio Desulfovibrio species are classical sulfate-reducing bacteria. They use sulfate as a terminal electron acceptor during anaerobic respiration, reducing it stepwise via APS (adenosine phosphosulfate) and sulfite intermediates to H$_2$S.
Step 3: Elimination of wrong options
(A) Beggiatoa – oxidizes H$_2$S to sulfate (reverse direction).
(C) Thiobacillus – also sulfur-oxidizing bacteria, not reducers.
(D) Thiothrix – filamentous sulfur-oxidizers.
Thus, the correct organism is Desulfovibrio.