To determine the product formed when glucose is heated with hydrogen iodide ($HI$), we must consider the chemical reaction process and the nature of glucose.
Glucose is a monosaccharide with the molecular formula C_6H_{12}O_6. When glucose is subjected to prolonged heating with $HI$, it undergoes a reduction reaction. In this process, $HI$ acts as a reducing agent, converting the glucose into a simpler alkane, specifically $n$-hexane.
The reduction of glucose with $HI$ is a classic laboratory reaction demonstrating the ability of hydrogen iodide to reduce organic compounds by fully substituting oxygen atoms with hydrogen atoms, in this case forming a saturated hydrocarbon.
Conclusion: The correct answer is n-Hexane. Thus, the prolonged heating of glucose with $HI$ yields n-hexane.
Other options:
| List-I | List-II |
|---|---|
| (I) Vitamin C | (A) Thiamine |
| (II) Vitamin B1 | (B) Riboflavin |
| (III) Vitamin B6 | (C) Ascorbic Acid |
| (IV) Vitamin B2 | (D) Pyridoxine |