Decoding the First Clue
Bromine Water Test
The problem begins with a crucial piece of chemical evidence: "A disaccharide X cannot be oxidised by bromine water." Bromine water (Br2/H2O) is a mild oxidizing agent. In carbohydrate chemistry, it is famously used to distinguish between reducing and non-reducing sugars.
When a sugar possesses a free hemiacetal or hemiketal group, it exists in equilibrium with its open-chain aldehyde or ketone form. Bromine water selectively oxidizes the free aldehyde group to a carboxylic acid (forming an aldonic acid). If a sugar fails this test, it means the ring cannot open. The anomeric carbon is locked, making it a non-reducing sugar.
The Anatomy of a Non-Reducing Sugar
For a disaccharide to be non-reducing, the glycosidic linkage must connect the anomeric carbons of both constituent monosaccharides. If even one anomeric carbon is left free (as a hemiacetal), the sugar retains its reducing power.
Let's evaluate the given options by hunting for free anomeric carbons. In standard Haworth projections, the anomeric carbon is the one bonded to two oxygen atoms (the ring oxygen and a hydroxyl group).
Evaluating the Suspects
Options B, C, and D
If we closely inspect the right-hand rings in options (B), (C), and (D), we notice a common structural feature. The anomeric carbon (C1) of the rightmost pyranose ring is not involved in the glycosidic bond. It bears a free −OH group.
Because this hemiacetal center is free to undergo mutarotation and open into an aldehyde, options (B), (C), and (D) are all reducing sugars. They would readily react with bromine water, eliminating them from our list of suspects.
The Prime Suspect
Option A (Sucrose)
Now, let's turn our attention to option (A). The left ring is an α-D-glucopyranose unit, and its anomeric carbon (C1) is pointing down into the linkage. The right ring is a β-D-fructofuranose unit, and its anomeric carbon (C2) is also directly tied into that exact same linkage.
This is an α-D-glucopyranosyl-(1→2)-β-D-fructofuranoside bond. Because both reactive anomeric centers are locked together in an acetal/ketal linkage, the molecule has zero reducing power. This perfectly matches our first clue. This molecule is Sucrose.
The Final Nail
Acid Hydrolysis and Optical Rotation
The problem provides a second, confirming clue: "The acid hydrolysis of X leads to a laevorotatory solution."
Sucrose itself is dextrorotatory, with a specific rotation of [α]D=+66.5∘. However, when we boil it with dilute acid (H3O+), the glycosidic bond breaks, yielding an equimolar mixture of D-glucose and D-fructose.
Let's look at the specific rotations of the products:
- D-Glucose: +52.5∘ (dextrorotatory)
- D-Fructose: −92.4∘ (strongly laevorotatory)
The massive negative rotation of fructose completely overwhelms the positive rotation of glucose. As a result, the net rotation of the hydrolyzed mixture flips from positive to negative. Because the sign of rotation "inverts" during the reaction, this mixture is famously known as invert sugar. This perfectly aligns with the problem's statement that the resulting solution is laevorotatory.
Conclusion
Option (A) is the only structure that is both a non-reducing sugar and yields a laevorotatory mixture upon hydrolysis. Mastering the exact structural linkages of common disaccharides like sucrose, maltose, and lactose is an absolute must for conquering JEE biomolecules.