Step 1: Analyze Each Statement
Statement 1: Basic Nature of Hydroxides
- The basicity of hydroxides increases down the group due to decreasing ionization energy and increasing lattice solubility.
- The correct order:
\[
{Mg(OH)}_2<{Ca(OH)}_2<{Sr(OH)}_2<{Ba(OH)}_2
\]
- This statement is correct.
Statement 2: Thermal Stability of Carbonates
- Incorrect because the thermal stability of carbonates increases down the group.
- BeCO₃ is the least thermally stable, while BaCO₃ is the most stable.
- Correct order:
\[
{BeCO}_3<{MgCO}_3<{CaCO}_3<{SrCO}_3<{BaCO}_3
\]
- This statement is incorrect, making it the correct answer to the question.
Statement 3: Solubility of Sulphates
- Solubility decreases down the group as hydration energy decreases.
- Correct order:
\[
{BeSO}_4>{MgSO}_4>{CaSO}_4>{SrSO}_4>{BaSO}_4
\]
- This statement is correct.
Statement 4: Nitrate Decomposition
- All alkaline earth metal nitrates decompose on heating to form metal oxides, NO₂, and O₂.
- Example reaction:
\[
{Ca(NO}_3)_2 \rightarrow {CaO} + 2{NO}_2 + \frac{1}{2} O_2
\]
- This statement is correct.
Final Answer: Statement 2 is incorrect.