Assertion (A): If a solution with `pH = 2` is diluted to double the volume, the `pH` of the solution will fall to `1`.
Reason (R) : `pH` is inversely proportional to the volume of the solution.

Options

A. If both (A) and (R) are correc, and (R) is the correct explanation of (A).
B. If both (A) and (R) are correct but (R) is not the correct explanation of (A).
C. If (A) is correct, but (R) is incorrect.
D. If both (A) and (R) are incorrect.

Explanation

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

### Step 1: Understanding the Assertion (A)
The assertion states that if a solution with a pH of 2 is diluted to double the volume, the pH will fall to 1.

- **Calculation of H⁺ Concentration**:
- pH is defined as \( \text{pH} = -\log[H^+] \).
- For a pH of 2, we can calculate the concentration of hydrogen ions:
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