Step 1: Understanding the Concept:
Alkaline earth metals (Group 2) show specific trends in the chemical properties of their compounds.
Solubility depends on the balance between hydration enthalpy and lattice enthalpy.
Step 2: Detailed Explanation:
1. Statement I: Beryllium hydroxide (\(Be(OH)_2\)) is amphoteric. It dissolves in excess alkali to form beryllate ions \([Be(OH)_4]^{2-}\). Thus, Statement I is incorrect.
2. Statement II: For Group 2 hydroxides, as we move down the group, lattice enthalpy decreases much more rapidly than hydration enthalpy. This leads to an increase in solubility. Thus, Statement II is correct.
Step 3: Final Answer:
Statement I is incorrect, but Statement II is correct.