Step 1: Understand the thermal decomposition of KMnO$_4$.
When potassium permanganate (KMnO$_4$) is heated, it decomposes to give potassium manganate (K$_2$MnO$_4$), manganese dioxide (MnO$_2$), and oxygen (O$_2$), not just K$_2$MnO$_4$ and MnO$_2$:
\[
2 \, \text{KMnO}_4 \rightarrow \text{K}_2\text{MnO}_4 + \text{MnO}_2 + \text{O}_2 \uparrow
\]
Step 2: Verify other options.
- Phosphine is indeed used in smoke screens.
- Chlorine bleaches by oxidation.
- Noble gases have very low boiling points due to weak Van der Waals forces.
Hence, option (1) is incorrect.