Step 1: Understanding the Concept
Prolonged heating with HI reduces glucose completely, removing every oxygen atom from the molecule.
Step 2: Reaction
\(\text{C}_{6}\text{H}_{12}\text{O}_{6} \xrightarrow{\text{HI}, \Delta} \text{n-C}_{6}\text{H}_{14}\)
Step 3: Meaning of the result
The formation of n-hexane shows that the six carbon atoms of glucose are in a straight unbranched chain.
Final Answer:
Prolonged heating of glucose with HI gives n-hexane.
\[ \boxed{\text{(B) }\text{n-Hexane}} \]