The correct option is D decrease in lattice energy down the group is faster than decrease in hydration energy.
On moving down the group II, the atomic and ionic size increases . The size of Be2+ is smallest and the size of Ba2+ is highest. As the size increases, the decrease in the lattice energy is much more than the decrease in the hydration energy. Due to this, the solubility increases with increase in the molecular weight on moving down the group. Hence, barium hydroxide is more soluble than beryllium hydroxide.