Concept: Disasters are classified according to their origin. Climate-related, geological, chemical, and biological disasters have different causes and examples.
Step 1: Match climate-related disaster.
Cyclones are climate and weather-related disasters.
\[
A \rightarrow III
\]
Step 2: Match geological disaster.
Earthquakes originate due to movements inside the Earth, so they are geological disasters.
\[
B \rightarrow IV
\]
Step 3: Match chemical-related disaster.
Nuclear disasters are commonly grouped with technological or chemical-related hazards in such classifications.
\[
C \rightarrow I
\]
Step 4: Match biological disaster.
Food poisoning is caused by biological contamination such as bacteria, viruses, or toxins.
\[
D \rightarrow II
\]
Therefore, the correct matching is:
\[
A-III,\ B-IV,\ C-I,\ D-II
\]