Step 1: Understand SO$_2$ pollution.
Sulfur dioxide (SO$_2$) pollution primarily affects the cellular components involved in energy production.
Step 2: Review the options.
- The nucleus is responsible for genetic material and is not directly impacted by SO$_2$ pollution.
- Mitochondria are responsible for energy production in the cell and are highly sensitive to SO$_2$ pollution.
- Chloroplasts are involved in photosynthesis, but they are not as directly affected by SO$_2$ pollution as mitochondria.
- Golgi bodies are involved in the modification and packaging of proteins, but they are not as affected by SO$_2$ pollution.
Step 3: Conclude.
SO$_2$ pollution affects mitochondria, making option (B) the correct answer.
Final Answer:
\[
\boxed{\text{Mitochondria}}
\]