1. We match each electromagnetic wave with its standard wavelength range.

2. Recall the usual order of EM waves by decreasing wavelength:

3. Now identify each range from List II:

• III. $1\,\text{mm}$ to $700\,\text{nm}$
  This corresponds to Infra-red.

• II. $400\,\text{nm}$ to $1\,\text{nm}$
  This corresponds to Ultraviolet.

• IV. $1\,\text{nm}$ to $10^{-3}\,\text{nm}$
  This corresponds to X-rays.

• I. $<10^{-3}\,\text{nm}$
  This corresponds to Gamma rays.

4. Therefore the correct matching is:

5. Compare with the options:

• Option B: $(A)-(III), (B)-(II), (C)-(IV), (D)-(I)$ ✅

Hence, the correct answer is Option B.

6. Comparison with stored correct answer:
   Stored correct answer is B, which matches the derived answer.