Explanation:

- Option 1: Ten Days — This is not correct. The law does not specify that the conciliation officer must complete his proceedings within ten days.

- Option 2: Fourteen Days — This is the correct answer. According to the Industrial Disputes Act, 1947, the conciliation officer is generally expected to conclude his proceedings within 14 days from the date of the commencement of conciliation proceedings.

- Option 3: One Month — This period is too long. The law suggests a shorter timeframe.

- Option 4: Two Months — This is not correct. Two months is a much longer duration than prescribed by law.