Step 1: Understanding Assertion A
The formation of \( \text{Mg}^{2+} \) requires the removal of two electrons, whereas the formation of \( \text{Mg}^+ \) involves the removal of only one electron. Since removing more electrons requires more energy, the energy needed to form \( \text{Mg}^{2+} \) is significantly higher than that required for \( \text{Mg}^+ \).
Step 2: Understanding Reason R
Reason R is correct because the smaller size of \( \text{Mg}^{2+} \) results in a higher charge density, which makes it more stable but also harder to form compared to \( \text{Mg}^+ \).
Therefore, both Assertion A and Reason R are true, and Reason R provides the correct explanation for Assertion A.