### Related Formula
C_12H_22O_11 + H_2O xrightarrowH^+ Dtext-Glucose + Dtext-Fructose$$C_{12}H_{22}O_{11} + H_2O \xrightarrow{H^+} D\text{-Glucose} + D\text{-Fructose}$$
### Core Logic
Statement I: Pure sucrose has a specific rotation
[alpha]_D = +66.5^circ$[\alpha]_D = +66.5^{\circ}$, so it is dextrorotatory. Upon hydrolysis, it forms an equimolar mixture of D-glucose and D-fructose. The net specific rotation of the mixture is negative, resulting in laevorotation. (This is called inversion of sugar). Statement I is true.
Statement II:
Hydrolysis gives glucose and fructose. The specific rotation of D-glucose is
+52.5^circ$+52.5^{\circ}$ (dextrorotation), while that of D-fructose is
-92.4^circ$-92.4^{\circ}$ (laevorotation). The statement claims that glucose is laevorotatory and fructose is dextrorotatory, which is strictly backward. Therefore, Statement II is false.
### Step 1: Final Conclusion
Statement I is true but Statement II is false.
### Pattern Recognition
Invert sugar concepts are very common. Always verify which monomer rotates light in which direction. D-fructose is strongly laevorotatory (
-92.4^circ$-92.4^{\circ}$).
### Evaluation Rubric / Model Answer
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### Chapter Mix
Class 12 Chemistry: Biomolecules