The following statements describe events during the mitotic cell cycle. What is the correct of these events in the mitotic cell cycle ?
I. chromosomes migrated to opposite poles of the spindle.
II. Chromosomes arrange themselves at the equator of the spindle.
III. Chromosomes condense and the number membrane disappears .
IV. Centromeres divide.

Options

A. `II rarrIII rarrIVrarrI`
B. `III rarrIIrarrIVrarrI`
C. `III rarrIVrarrIIrarrI`
D. `IVrarrIIrarrIrarrIII`

Answer

To determine the correct order of events during the mitotic cell cycle based on the provided statements, we need to analyze each statement and identify which phase of mitosis they correspond to.

1. **Statement I: Chromosomes migrated to opposite poles of the spindle.**
- This event occurs during **Anaphase**. In this phase, the sister chromatids are pulled apart by the spindle fibers and move toward opposite poles of the cell.

2. **Statement II: Chromosomes arrange themselves at the equator of the spindle.**
- This event occurs during **Metaphase**. In this phase, chromosomes line up along the metaphase plate (the equator of the cell) before being separated.

3. **Statement III: Chromosomes condense and the nuclear membrane disappears.**
- This event occurs during **Prophase**. In prophase, the chromatin condenses into visible chromosomes, and the nuclear membrane begins to break down.

4. **Statement IV: Centromeres divide.**
- This event occurs during **Anaphase** as well. The centromeres that hold the sister chromatids together divide, allowing the chromatids to move apart.

Now, let's arrange these statements in the correct order according to the phases of mitosis:

- **Prophase**: Statement III (Chromosomes condense and the nuclear membrane disappears)
- **Metaphase**: Statement II (Chromosomes arrange themselves at the equator of the spindle)
- **Anaphase**: Statement I (Chromosomes migrated to opposite poles of the spindle) and Statement IV (Centromeres divide)

Thus, the correct sequence of events is:
1. **III** - Chromosomes condense and the nuclear membrane disappears (Prophase)
2. **II** - Chromosomes arrange themselves at the equator of the spindle (Metaphase)
3. **IV** - Centromeres divide (Anaphase)
4. **I** - Chromosomes migrated to opposite poles of the spindle (Anaphase)

### Final Answer:
The correct order of events in the mitotic cell cycle is:
- III (Prophase)
- II (Metaphase)
- IV (Anaphase)
- I (Anaphase)