To determine which sugar will not show mutarotation, we must first understand what mutarotation is. Mutarotation is the change in specific rotation that occurs when an α-anomer equilibrates with a β-anomer. This phenomenon typically occurs in carbohydrates that contain hemiacetal or hemiketal functionalities. This is because these groups can open to form an aldehyde or ketone and then reclose to form either of the crytals mentioned above.
Let's analyze the options:
Conclusion: Sucrose will not show mutarotation since it lacks a free hemiacetal group that can open and close in solution.