Examine Statement I

Statement I says:

$\text{D-(+)-glucose} + \text{D-(+)-fructose} \xrightarrow{-H_2O} \text{sucrose}$ and on hydrolysis, $\text{sucrose} \xrightarrow{\text{hydrolysis}} \text{D-(+)-glucose} + \text{D-(+)-fructose}$

This is not fully correct because although sucrose is indeed formed from glucose and fructose and gives glucose + fructose on hydrolysis, the fructose obtained is D-(-)-fructose, not D-(+)-fructose.

In fact: $\text{sucrose} \xrightarrow{\text{hydrolysis}} \text{D-(+)-glucose} + \text{D-(-)-fructose}$

So Statement I is false.

Examine Statement II

Statement II says:

$\text{Invert sugar is formed during sucrose hydrolysis}$

This is true.

Reason: On hydrolysis, sucrose gives an equimolar mixture of glucose and fructose. Sucrose itself is dextrorotatory, but the resulting mixture becomes levorotatory because fructose has a larger negative rotation than the positive rotation of glucose. This change in sign of optical rotation is called inversion, and the product mixture is called invert sugar.

Hence Statement II is true.

Conclusion

• Statement I: False
• Statement II: True

Therefore, the correct option is:

B: Statement I is false but Statement II is true.