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Physics

Electromagnetic Spectrum

PDF
Matthew Williams
|May 20, 2026|5 min read
CSEC PhysicsElectromagnetic SpectrumEM WavesPaper 01Paper 02RadiationSection C

Properties common to all electromagnetic waves, the full spectrum from gamma to radio waves ordered by frequency and wavelength, sources and uses of each type, and associated hazards.

Properties of All Electromagnetic Waves

All electromagnetic (EM) waves share the same fundamental properties:

  • They are transverse waves, oscillations are perpendicular to the direction of travel.
  • They travel at the speed of light in a vacuum: c=3×108c = 3 \times 10^8c=3×108 m s⁻¹.
  • They can travel through a vacuum, no medium is needed.
  • They carry energy.
  • They obey v=fλv = f\lambdav=fλ (in vacuum, c=fλc = f\lambdac=fλ).
  • They can be reflected, refracted, diffracted, and undergo interference.

The Spectrum

EM waves differ in frequency (and therefore wavelength). The spectrum is continuous, there are no sharp boundaries between the named regions.

c=fλ⟹λ=cfc = f\lambda \qquad \Longrightarrow \qquad \lambda = \frac{c}{f}c=fλ⟹λ=fc​

Higher frequency corresponds to shorter wavelength and higher energy per photon.

TypeTypical wavelengthTypical frequencySourceUsesHazards
Gamma (γ\gammaγ)<10−11< 10^{-11}<10−11 m>1019> 10^{19}>1019 HzRadioactive nucleiCancer treatment, sterilising medical instruments, food irradiationIonising, causes cancer, cell damage, genetic mutation
X-rays10−1110^{-11}10−11 to 10−810^{-8}10−8 m101610^{16}1016 to 101910^{19}1019 HzHigh-voltage X-ray tubesMedical imaging of bones, airport security scannersIonising, excess exposure damages cells
Ultraviolet (UV)10−810^{-8}10−8 to 4×10−74 \times 10^{-7}4×10−7 m101510^{15}1015 to 101610^{16}1016 HzSun, UV lampsDetecting forged banknotes, tanning, sterilisationCauses sunburn, cataracts, skin cancer
Visible light4×10−74 \times 10^{-7}4×10−7 to 7×10−77 \times 10^{-7}7×10−7 m4×10144 \times 10^{14}4×1014 to 7×10147 \times 10^{14}7×1014 HzLuminous objects, the SunSight, photography, optical fibresGenerally safe at normal intensities
Infrared (IR)7×10−77 \times 10^{-7}7×10−7 to 10−310^{-3}10−3 m101110^{11}1011 to 4×10144 \times 10^{14}4×1014 HzAll warm objects, heat lampsRemote controls, thermal imaging, cooking (microwave ovens use adjacent range), solar heatersSkin burns at high intensities
Microwaves10−310^{-3}10−3 to 0.10.10.1 m10910^{9}109 to 101110^{11}1011 HzMicrowave generatorsCooking, satellite communication, mobile phone networks, radarInternal heating of body tissue
Radio waves0.10.10.1 m to 10410^4104 m10410^4104 to 10910^9109 HzRadio transmitters, oscillating currentsRadio and TV broadcasting, long-range communicationGenerally safe

Memory aid for order (high frequency to low):

Gamma, X-ray, Ultraviolet, Visible, Infrared, Microwave, Radio

"Gorillas eXcel Under Very Icy Mountain Ranges"

Example/Wavelength calculation (2016 Paper 02, Q4)

Visible light occupies wavelengths of approximately 4×10−74 \times 10^{-7}4×10−7 m to 7×10−77 \times 10^{-7}7×10−7 m.

A rattlesnake can detect EM radiation of frequency 3.5×10143.5 \times 10^{14}3.5×1014 Hz. Calculate its wavelength.

λ=cf=3×1083.5×1014=33.5×108−14=0.857×10−6m≈8.6×10−7m\lambda = \frac{c}{f} = \frac{3 \times 10^8}{3.5 \times 10^{14}} = \frac{3}{3.5} \times 10^{8-14} = 0.857 \times 10^{-6} \text{m} \approx 8.6 \times 10^{-7} \text{m}λ=fc​=3.5×10143×108​=3.53​×108−14=0.857×10−6m≈8.6×10−7m

Since 8.6×10−78.6 \times 10^{-7}8.6×10−7 m is just beyond the red end of the visible range (7×10−77 \times 10^{-7}7×10−7 m), this radiation is infrared, consistent with heat sensing in pit vipers.

Exam Tip

The order of the spectrum must be memorised. Know that gamma rays have the highest frequency and shortest wavelength; radio waves have the lowest frequency and longest wavelength.

When asked which region is most dangerous, the answer depends on context: gamma and X-rays are ionising and most hazardous for cell damage. UV causes skin cancer and sunburn. Infrared and microwaves can burn tissue but are non-ionising.

For wavelength calculations: use λ=c/f\lambda = c/fλ=c/f with c=3×108c = 3 \times 10^8c=3×108 m s⁻¹. Always check your answer, visible light wavelengths are in the range 10−710^{-7}10−7 m, so a calculation giving a very different order of magnitude signals an error.

Previous in syllabus order
Sound
Next in syllabus order
Light, Reflection, and Mirrors