Step 1: Understand the formation of peroxides.
Peroxides are highly reactive compounds that can form during the storage of ethers. The accumulation of peroxides in ether can lead to explosive reactions when the ether is distilled.
Step 2: Conclusion.
Thus, the presence of peroxides is responsible for the explosion that can occur during the distillation of ethers.
Final Answer:
\[
\boxed{A}
\]