Step 1: Understand the task.
We match each region of the electromagnetic spectrum (microwave, UV, gamma, radio) to its common application.
Step 2: Microwaves.
Water molecules absorb microwaves strongly and heat up, which is how microwave ovens warm food. So $P \to II$ (warming food).
Step 3: Ultraviolet rays.
UV photons carry enough energy to kill microorganisms, so UV is used to purify water. So $Q \to I$ (purifying water).
Step 4: Gamma rays.
Gamma rays have very high energy and penetrate deeply, so they are used in radiotherapy to destroy cancer cells. So $R \to IV$ (cancer cell treatment).
Step 5: Radio waves.
Radio waves carry AM and FM broadcast signals, so $S \to III$ (AM and FM communication).
Step 6: Assemble the match.
The complete matching is $P$-$II$, $Q$-$I$, $R$-$IV$, $S$-$III$, which is option (D).
\[ \boxed{\text{P-II, Q-I, R-IV, S-III}} \]