The given compound is an organomagnesium halide, specifically Grignard reagent \(\text{(CH}_3\text{)}_3\text{CMgBr}\), which reacts with deuterium oxide (D₂O). The Grignard reagent acts as a nucleophile and attacks the proton (H⁺) in D₂O, where the hydrogen atom (H) is replaced by the deuterium atom (D). In this case, the Grignard reagent's carbon atom (C) attaches to the deuterium (D), forming the product (CH₃)₃CD, where the hydrogen is replaced by deuterium, thus creating a deuterated alkane.
Thus, the correct answer is:
\[
\text{The product is} \, (CH₃)_3CD.
\]