To order the given electromagnetic waves by wavelength, shortest to longest, refer to the electromagnetic spectrum. The spectrum, from shortest to longest wavelength, is: Gamma rays, X-rays, Ultraviolet, Visible light, Infrared waves, Microwaves, Radio waves.
Arranging the specified waves by increasing wavelength yields:
This sequence is represented as: \(\lambda_1<\lambda_2<\lambda_3<\lambda_4\)
Therefore, the correct answer is: \(\lambda_1<\lambda_2<\lambda_3<\lambda_4\)

| 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 |