Step 1: Conceptual Understanding:
This question assesses knowledge of the electromagnetic spectrum, specifically the ordering of wave types by wavelength (or frequency). The task is to align each wave type with its approximate wavelength range.
Step 2: Detailed Analysis:
The electromagnetic spectrum, ordered from shortest to longest wavelength, is: Gamma rays, X-rays, Ultraviolet, Visible, Infrared, Microwaves, Radio waves.
(A) X-rays: Characterized by very short wavelengths, shorter than ultraviolet light. The range (III) 1 nm to \(10^{-3}\) nm (1 picometer) corresponds to X-rays. Thus, (A) aligns with (III).
(B) Radio waves: Possess the longest wavelengths in the electromagnetic spectrum. The range (IV) $>$ 0.1 m accurately describes radio waves. Therefore, (B) aligns with (IV).
(C) Infrared waves: These waves have wavelengths exceeding that of visible red light (approx. 700 nm). The range specified in (I) 1 mm to 700 nm is the accepted range for infrared radiation. Consequently, (C) aligns with (I).
(D) Microwaves: Situated between infrared waves and radio waves. The range (II) 0.1 m to 1 mm corresponds to the microwave region. Hence, (D) aligns with (II).
Step 3: Conclusion:
The correct pairings are:
- (A) \(\rightarrow\) (III)
- (B) \(\rightarrow\) (IV)
- (C) \(\rightarrow\) (I)
- (D) \(\rightarrow\) (II)
This matches option (D).

| List I: Frequency Range | List II: Types of Waves |
|---|---|
| (I) 1 × 1016 − 3 × 1021 Hz | (D) γ-rays |
| (II) 1 × 109 − 3 × 1011 Hz | (B) Microwaves |
| (III) 1 × 108 − 5 × 1022 Hz | (A) X-rays |
| (IV) 5 × 105 − 109 Hz | (C) Radio waves |