Concept:Sucrose is a disaccharide that undergoes acidic hydrolysis to yield glucose and fructose.
Each sugar exhibits a specific optical rotation, and the net rotation of the mixture determines the overall optical activity.
Explanation:Sucrose has specific rotation
[α]Dsucrose​=+66.5∘, so it is dextrorotatory.
Upon complete hydrolysis, one molecule each of glucose and fructose are produced:
• Glucose:
[α]Dglucose​=+52.5∘ (dextrorotatory)
• Fructose:
[α]Dfructose​=−92.4∘ (laevorotatory)
The net rotation of the equimolar mixture is
(+52.5∘)+(−92.4∘)=−39.9∘, which is laevorotatory.
Therefore, Statement I is correct: the hydrolysis mixture shows laevorotation even though sucrose itself is dextrorotatory.
Statement II is incorrect: glucose is dextrorotatory, not laevorotatory. The mixture becomes laevorotatory because the laevorotation of fructose outweighs the dextrorotation of glucose, not because glucose is laevorotatory.
Answer:C. Statement I is true but Statement II is false