Sucrose, which is dextrorotatory in nature, after hydrolysis gives glucose and fructose, among which:
(i) Glucose is laevorotatory and fructose is dextrorotatory.
(ii) Glucose is dextrorotatory and fructose is laevorotatory.
(iii) The mixture is laevorotatory.
(iv) Both are dextrorotatory.
Step 1: Understanding the hydrolysis of sucrose.
- Sucrose is dextrorotatory (\( +66^\circ \)), meaning it rotates plane-polarized light to the right.
- Upon hydrolysis, it yields glucose and fructose.
Step 2: Identifying the optical rotation of products.
- Glucose is dextrorotatory (\( +52.5^\circ \)).
- Fructose is laevorotatory (\( -92^\circ \)).
Step 3: Determining the optical rotation of the mixture.
- Since fructose has a higher magnitude of rotation than glucose, the mixture is net laevorotatory.
- Hence, statements (iii) and (iv) are correct.