Explanation:

To determine the pH of a solution after dilution, we need to understand the concept of pH and how it changes with dilution.

pH:
The pH scale measures the acidity or basicity of a solution. It ranges from 0 to 14, where 0 is highly acidic, 7 is neutral, and 14 is highly basic. The pH value is determined by the concentration of hydrogen ions (H+) in the solution. The more hydrogen ions present, the lower the pH and the more acidic the solution.

Dilution:
Dilution is the process of reducing the concentration of a solute in a solution by adding more solvent. In this case, the acid solution is diluted 1000 times, which means the concentration of the acid is reduced by a factor of 1000.

pH Calculation:
To calculate the pH of a solution after dilution, we can use the formula:

pH = -log[H+]

Where [H+] represents the concentration of hydrogen ions in moles per liter.

Step 1: Calculate the initial concentration of hydrogen ions:
Since the initial pH of the solution is 6, we can calculate the initial concentration using the formula:

[H+] = 10^(-pH)

[H+] = 10^(-6)

[H+] = 0.000001 M

Step 2: Calculate the final concentration after dilution:
The dilution factor is 1000, so the final concentration will be:

Final Concentration = Initial Concentration / Dilution Factor

Final Concentration = 0.000001 M / 1000

Final Concentration = 0.000000001 M

Step 3: Calculate the pH of the diluted solution:
Using the formula for pH, we can calculate the pH of the diluted solution:

pH = -log[Final Concentration]

pH = -log(0.000000001)

pH ≈ 9

Conclusion:
After diluting the acid solution 1000 times, the pH of the solution becomes approximately 9. Therefore, the correct answer is not provided in the options given (A) 6.95, (B) 6, (C) 4, or (D) 8.