Concept: Meteorological extremes are extreme weather or climate-related events. These include droughts, heat waves, cold waves, heavy rainfall, cyclones, and storms.
Step 1: Understanding meteorological extremes.
Meteorology deals with the atmosphere and weather. Therefore, meteorological extremes are events related to abnormal atmospheric conditions.
\[
\text{Meteorological extreme} = \text{Extreme weather condition}
\]
Step 2: Checking the options.
Drought is related to rainfall deficiency and weather conditions.
Heat wave is related to abnormally high temperature.
Cold wave is related to abnormally low temperature.
Step 3: Identifying the non-meteorological event.
Ash fall is generally associated with volcanic eruptions. It is a geological or volcanic hazard, not a meteorological extreme.
Therefore, the correct answer is Ash fall.