Explanation:

The process of meiosis involves two successive nuclear divisions, resulting in the formation of haploid gametes. The stages of meiosis are divided into two main phases: meiosis I and meiosis II. The stage during which separation of the paired homologous chromosomes begins is Diplotene.

Diplotene:

During Diplotene, the paired homologous chromosomes begin to separate from each other, though they are still held together by chiasmata. Chiasmata are regions where the homologous chromosomes have exchanged their genetic material through the process of crossing over. The chiasmata ensure that the homologous chromosomes stay connected until the end of meiosis I.

During Diplotene, the following events take place:

- The homologous chromosomes begin to separate from each other. However, they are still held together at the chiasmata.
- The synaptonemal complex, which holds the homologous chromosomes together, begins to disintegrate.
- The nucleolus and nuclear envelope begin to break down, marking the end of the prophase stage of meiosis I.
- The spindle fibers begin to attach to the kinetochores of the homologous chromosomes.

Conclusion:

In conclusion, Diplotene is the stage during which separation of the paired homologous chromosomes begins. During this stage, the homologous chromosomes begin to separate from each other, though they are still held together by chiasmata. The synaptonemal complex, nucleolus, and nuclear envelope begin to break down, marking the end of the prophase stage of meiosis I.