Chapter 3

The Electromagnetic Spectrum

The family of transverse EM waves, their order by frequency, shared properties and everyday uses.

A family of transverse waves

The electromagnetic (EM) spectrum is the full range of electromagnetic waves. Although their wavelengths differ enormously, they share important properties: they are all transverse waves, they can travel through a vacuum, and in a vacuum they all travel at the same speed — the speed of light, c = 3 × 10⁸ m/s.

Key idea

Wave speed v = f λ. For EM waves in a vacuum v = 3 × 10⁸ m/s, so higher frequency means shorter wavelength.

Order and uses

From longest wavelength (lowest frequency) to shortest wavelength (highest frequency):

Radiobroadcasting, communication
Microwavescooking food, satellite & mobile signals
Infraredremote controls, thermal imaging, heaters
Visible lightseeing, optical fibres, photography
Ultravioletfluorescent lamps, detecting forged notes, sterilising
X-raysimaging bones, security scanners
Gamma rayssterilising equipment, treating cancer

Worked example

A radio wave has frequency 100 MHz (1 × 10⁸ Hz). Its wavelength λ = v ÷ f = (3 × 10⁸) ÷ (1 × 10⁸) = 3 m.

Remember

  • Gamma rays and X-rays have the highest frequency and are the most dangerous (ionising).
  • Excessive ultraviolet causes skin cancer and eye damage.
  • All EM waves transfer energy without transferring matter.

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