Here is the correct matching of the electromagnetic waves with their uses:
1. Microwaves are used in RADAR systems, so (A) matches with (III).
2. Ultraviolet rays are used in water purification, so (B) matches with (IV).
3. X-rays are used in medical diagnostics, so (C) matches with (I).
4. Infrared rays are used for night vision, so (D) matches with (II).
Thus, the correct matching is:
(A)-(III), (B)-(IV), (C)-(I), (D)-(II)