3.3 Electromagnetic Spectrum
Objective: Know the main regions of the electromagnetic spectrum in order of frequency and in order of wavelength. ⚡️
Order by Frequency (Highest → Lowest)
- Gamma rays – the most energetic, like a superhero’s laser beam. \$f\$ = \$10^{19}\$–\$10^{20}\$ Hz
- X‑rays – great for seeing inside objects, like a detective’s X‑ray vision. \$f\$ = \$10^{16}\$–\$10^{19}\$ Hz
- Ultraviolet (UV) – the invisible part of sunlight that can burn your skin. \$f\$ = \$10^{15}\$–\$10^{16}\$ Hz
- Visible light – the colours we can see, from red to violet. \$f\$ = \$4.3\times10^{14}\$–\$7.5\times10^{14}\$ Hz
- Infra‑red (IR) – the heat you feel from a campfire. \$f\$ = \$10^{11}\$–\$10^{14}\$ Hz
- Microwaves – used in ovens and Wi‑Fi, like a gentle kitchen heat. \$f\$ = \$10^{9}\$–\$10^{11}\$ Hz
- Radio waves – the longest waves, used for music and TV. \$f\$ = \$10^{3}\$–\$10^{9}\$ Hz
Order by Wavelength (Shortest → Longest)
- Gamma rays – \$\lambda\$ = \$10^{-12}\$–\$10^{-9}\$ m
- X‑rays – \$\lambda\$ = \$10^{-9}\$–\$10^{-7}\$ m
- Ultraviolet (UV) – \$\lambda\$ = \$10^{-7}\$–\$4\times10^{-7}\$ m
- Visible light – \$\lambda\$ = \$4\times10^{-7}\$–\$7.5\times10^{-7}\$ m
- Infra‑red (IR) – \$\lambda\$ = \$7.5\times10^{-7}\$–\$1\times10^{-3}\$ m
- Microwaves – \$\lambda\$ = \$1\times10^{-3}\$–\$0.1\$ m
- Radio waves – \$\lambda\$ = \$0.1\$–\$10^3\$ m
Exam Tip: Remember that frequency and wavelength are inversely related: \$f = \dfrac{c}{\lambda}\$. A quick way to check your order is to see that higher frequency always means shorter wavelength. 📚
| Region | Frequency Range (Hz) | Wavelength Range (m) |
|---|
| Gamma rays | \$10^{19}\$–\$10^{20}\$ | \$10^{-12}\$–\$10^{-9}\$ |
| X‑rays | \$10^{16}\$–\$10^{19}\$ | \$10^{-9}\$–\$10^{-7}\$ |
| Ultraviolet (UV) | \$10^{15}\$–\$10^{16}\$ | \$10^{-7}\$–\$4\times10^{-7}\$ |
| Visible light | \$4.3\times10^{14}\$–\$7.5\times10^{14}\$ | \$4\times10^{-7}\$–\$7.5\times10^{-7}\$ |
| Infra‑red (IR) | \$10^{11}\$–\$10^{14}\$ | \$7.5\times10^{-7}\$–\$1\times10^{-3}\$ |
| Microwaves | \$10^{9}\$–\$10^{11}\$ | \$1\times10^{-3}\$–\$0.1\$ |
| Radio waves | \$10^{3}\$–\$10^{9}\$ | \$0.1\$–\$10^3\$ |