Step 1: Let's analyze the statements:
Option (A) BeO indeed has a rock-salt structure, so statement i is correct.
Option (B) BeSO\(_4\) is actually poorly soluble in water, so statement ii is incorrect.
Option (C) The maximum coordination number of beryllium is 6, not 4, so statement iii is incorrect.
Option (D) Be(OH)\(_2\) is basic in nature, which is true, so statement iv is correct.
Thus, the incorrect statements are ii, iii, and iv. Therefore, the correct answer is option (2).
The following graph indicates the system containing 1 mole of gas involving various steps. When it moves from Z to X, the type of undergoing process is: