Know that a sound can be transmitted as a digital or analogue signal

3.3 Electromagnetic Spectrum

The electromagnetic spectrum shows all the types of electromagnetic (EM) waves, from the longest‑wavelength radio waves to the shortest‑wavelength gamma rays. EM waves can travel through a vacuum, unlike sound, which needs a medium to move through. Understanding the spectrum helps us recognise how different waves are used in everyday life – from radio broadcasts to X‑ray imaging.

Key Concepts

  • Wavelength (λ) and frequency (f) are inversely related: \$f = \dfrac{c}{\lambda}\$, where \$c\$ is the speed of light (\$3.0 \times 10^8\,\text{m/s}\$).
  • Energy of a photon: \$E = hf\$, where \$h\$ is Planck’s constant (\$6.63 \times 10^{-34}\,\text{J·s}\$).
  • EM waves are classified by their wavelength: radio, microwave, infrared, visible, ultraviolet, X‑ray, gamma.
  • Sound is a mechanical wave that requires a medium; to transmit sound over long distances, it is converted to an electrical signal.
  • Sound signals can be transmitted as analogue (continuous) or digital (discrete).

Sound Transmission: Analogue vs Digital

🎧 Analogue – The electrical signal varies smoothly, mirroring the original sound wave. Think of a vinyl record: the groove’s shape is a continuous representation of the music. Analogue signals are susceptible to noise and distortion but can carry a wide range of frequencies without sampling.

🎶 Digital – The sound is sampled at regular intervals (e.g., 44.1 kHz for CD audio) and each sample is quantised to a finite number of levels. The result is a series of numbers that can be stored, transmitted, and reproduced with great fidelity. Digital signals are immune to many types of noise but require a sampling rate at least twice the highest frequency (Nyquist theorem).

  1. Record the sound.
  2. Convert to an electrical signal.
  3. Choose analogue or digital transmission.
  4. Transmit over the chosen medium (telephone line, fibre, wireless).
  5. Receive and convert back to sound.

Electromagnetic Spectrum Overview

Wave TypeTypical Wavelength (m)Frequency (Hz)Common Use
Radio10 m – 10 km10⁶ – 10¹⁰Broadcast radio, TV
Microwave1 mm – 1 m10¹¹ – 10¹³Wi‑Fi, satellite links
Infrared700 nm – 1 mm10¹⁴ – 10¹⁵Remote controls, thermal cameras
Visible400 nm – 700 nm4.3 × 10¹⁴ – 7.5 × 10¹⁴Human vision, LEDs
Ultraviolet10 nm – 400 nm7.5 × 10¹⁴ – 3 × 10¹⁵Sterilisation, black lights
X‑ray0.01 nm – 10 nm3 × 10¹⁵ – 3 × 10¹⁸Medical imaging, security scanners
Gamma< 0.01 nm>3 × 10¹⁸Nuclear medicine, astrophysics

Exam Tips

Remember that sound cannot travel through a vacuum, but EM waves can. This is why we can receive radio signals from space.


• When asked to compare analogue and digital signals, highlight continuity vs discreteness and the role of sampling.


• For spectrum questions, practice converting between wavelength and frequency using \$f = \dfrac{c}{\lambda}\$ and remember the order of the spectrum from longest to shortest wavelength.


• Use the colour‑coded table as a quick reference during revision.


🎓 Good luck – you’ve got this!