- Microwave: Microwaves have wavelengths ranging from 1 mm to 1 m, which corresponds to option (a) 700 nm to 400 nm.
- Visible light: Visible light has wavelengths ranging from 400 nm to 700 nm, which corresponds to option (b) 1 nm to 10\( ^{3} \) nm.
- Ultraviolet: Ultraviolet light has wavelengths between 0.1 nm and 400 nm, which corresponds to option (c).
- X-rays: X-rays have wavelengths between 0.1 nm and 1 nm, which corresponds to option (d).
Thus, the correct matching is option (2).