B

Step 1: Identify the applications of each type of wave in List I.
- Ultraviolet rays (A) are primarily used for sterilization, which corresponds to (III).
- Microwaves (B) are commonly associated with the functionality of radar systems, matching with (IV).
- Infrared waves (C) are utilized in various applications but notably in the greenhouse effect, which is linked to (II).
- X-rays (D) are utilized for studying crystal structures, corresponding to (I).

Step 2: Match List I with List II based on the aforementioned applications:
- A -> (III)
- B -> (IV)
- C -> (II)
- D -> (I)

This leads to the following matching pairs:
(A) -> (III), (B) -> (IV), (C) -> (II), (D) -> (I).

Thus, the correct option corresponds to these pairings, which is Option B: - (IV), - (I), - (III), - (IV).
Therefore, the correct answer is B.