Step 1: Understand the ozone hole.
The ozone hole is a yearly thinning of the ozone layer high above Antarctica. It is a seasonal event tied to the southern spring.
Step 2: Know why it is seasonal.
During the cold, dark Antarctic winter, special clouds form. When sunlight returns in spring, it triggers reactions that destroy ozone quickly.
Step 3: Match the season to months.
In the Southern Hemisphere, spring falls around September and October, which is the opposite of the Northern Hemisphere.
Step 4: Compare the options.
The choices give different month ranges. We need the one that lands in the southern spring.
Step 5: Pick the correct range.
The ozone hole grows largest between late August and early October, matching the second option. The other ranges fall in the wrong seasons.
Step 6: State the answer.
The ozone hole develops each year between late August and early October.
\[ \boxed{\text{Late August and early October}} \]