Mutarotation:
Mutarotation is the spontaneous change in the specific rotation of an optically active compound when it is dissolved in a solvent or when it is heated. It occurs due to the interconversion between different anomers of a compound.

a) Glucose:
Glucose is a sugar molecule that exists in a cyclic form in solution. It can exist in two different forms known as anomers: α-glucose and β-glucose. These anomers interconvert in solution, resulting in mutarotation. The specific rotation of glucose changes over time when dissolved in a solvent.

b) Fructose:
Fructose is another sugar molecule that exists in a cyclic form in solution. Similar to glucose, it can exist in two different forms: α-fructose and β-fructose. These anomers can also interconvert in solution, leading to mutarotation.

c) Maltose:
Maltose is a disaccharide composed of two glucose molecules. Each glucose molecule in maltose can exist in its cyclic form and exhibit mutarotation. Therefore, maltose undergoes mutarotation.

d) Sucrose:
Sucrose is a disaccharide composed of glucose and fructose molecules. Unlike glucose and fructose, sucrose does not have a free anomeric carbon, which is necessary for mutarotation. Thus, sucrose does not undergo mutarotation.

Conclusion:
The compound that does not show mutarotation is sucrose (option D). Sucrose lacks a free anomeric carbon and therefore cannot interconvert between different anomers, resulting in a constant specific rotation over time in a solvent.