Step 1: Understanding nucleosomes.
A nucleosome is a structural unit of chromatin in eukaryotic cells. It consists of a segment of DNA wrapped around histone proteins.
Step 2: DNA wrapping in nucleosomes.
Each nucleosome contains about 200 base pairs of DNA wrapped around histone proteins.
Step 3: Conclusion.
Thus, the correct answer is ((B) 200 base pairs.
Final Answer:
\[
\boxed{200 \, \text{base pairs}}
\]