Assertion(A): Fruit formation process shows increase in the rate with passage of time.
Reason(R): Hydrolysis of these ester is homogeneous autocatalytic reaction.
(a)If both (A) and (R) are correct, and (R) is the correct explanation of (A)
(b)If both (A) and (R) are correct, but (R) is the correct explanation of (A).
(c)If (A) is correct, but (R) is incorrect.
(d)If (A) is incorrect, but (R) is correct.

Options

A. If both (A) and (R) are correct, and (R) is the correct explanation of (A)
B. If both (A) and (R) are correct, but (R) is the correct explanation of (A).
C. If (A) is correct, but (R) is incorrect.
D. If (A) is incorrect, but (R) is correct. S

Answer

To solve the question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step 1: Understand the Assertion (A)
The assertion states that "Fruit formation process shows increase in the rate with passage of time." This implies that as time progresses, the rate at which fruit forms increases. This is a common observation in biological processes, particularly in the ripening of fruits.

### Step 2: Understand the Reason (R)
The reason states that "Hydrolysis of these esters is a homogeneous autocatalytic reaction." In a homogeneous autocatalytic reaction, the product of the reaction acts as a catalyst for the reaction itself. In this case, the hydrolysis of esters produces alcohol, which can further catalyze the reaction, thus increasing the rate of fruit formation over time.

### Step 3: Analyze the Relationship between (A) and (R)
Now we need to determine if (R) correctly explains (A). Since the hydrolysis of esters produces alcohol that catalyzes the reaction, it logically follows that the rate of fruit formation would increase as time passes due to this autocatalytic effect.

### Conclusion
Both the assertion and the reason are correct, and the reason provides a correct explanation for the assertion. Therefore, the correct option is:

**(a) If both (A) and (R) are correct, and (R) is the correct explanation of (A).**

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