7. A microwave oven uses microwaves of frequency $2.45 \times 10^9\,\text{Hz}$. Calculate the wavelength. ($c = 3.0 \times 10^8\,\text{m/s}$) [3]
Mark Scheme
1. Radio, microwave, infrared, visible, ultraviolet, X-ray, gamma [2 — 1 mark if 5–6 correct, 2 marks if all 7 in correct order]
2. Any two: all transverse; all travel at $3.0 \times 10^8\,\text{m/s}$ in free space; all transfer energy; all can travel through a vacuum [2]
3. Wavelength decreases (as frequency increases) [1]
4. Red, orange, yellow, green, blue, indigo, violet [2 — 1 mark if 5–6 correct]
5. Any correct use for each region, e.g.: Radio — TV/radio broadcasting; Microwave — cooking/satellite communication; Infrared — remote controls/thermal imaging; Visible — photography/human vision; UV — sterilisation/detecting forged banknotes; X-ray — medical imaging/airport security; Gamma — cancer treatment/sterilising medical equipment [7 — 1 mark each]
6. a) UV: skin cancer / sunburn / eye damage [1]; b) X-rays: ionise cells / cause cancer with high doses [1]; c) Gamma: ionising radiation damages DNA / causes cancer or mutation [1]; d) Microwaves: absorbed by water in body tissue, causing heating [1] [4]
7. $\lambda = c/f = (3.0 \times 10^8)/(2.45 \times 10^9) \approx 0.122\,\text{m}$ (about 12 cm) [3]
8. $f = c/\lambda = (3.0 \times 10^8)/(1.0 \times 10^{-10}) = 3.0 \times 10^{18}\,\text{Hz}$ [3]