Step 1: Understanding the Question:
The question asks us to match three uses to three parts of the electromagnetic spectrum. We must also give the wavelength range of each wave.
Step 2: Part (i) - heat waves:
Infrared waves are called heat waves. Hot bodies emit them, and water molecules in our skin absorb them, so we feel warmth.
Their wavelength range is about \(7 \times 10^{-7}\ \text{m}\) to \(10^{-3}\ \text{m}\) (700 nm to 1 mm).
Step 3: Part (ii) - LASIK eye surgery:
LASIK uses a laser beam of ultraviolet light to reshape the cornea. Ultraviolet photons carry enough energy to cut tissue cleanly without burning it.
Ultraviolet waves have wavelengths from about \(4 \times 10^{-7}\ \text{m}\) down to \(6 \times 10^{-10}\ \text{m}\) (400 nm to about 0.6 nm).
Step 4: Part (iii) - destroying cancer cells:
Gamma rays are used to destroy cancer cells. Their photons have very high energy, so they damage the cells in a tumour when directed at it.
Their wavelength range is about \(10^{-14}\ \text{m}\) to \(10^{-10}\ \text{m}\), that is, less than about 0.1 nm.
Final Answer:
(i) Infrared: \(7 \times 10^{-7}\ \text{m}\) to \(10^{-3}\ \text{m}\). (ii) Ultraviolet: \(4 \times 10^{-7}\ \text{m}\) to \(6 \times 10^{-10}\ \text{m}\). (iii) Gamma rays: \(10^{-14}\ \text{m}\) to \(10^{-10}\ \text{m}\).