Know the main regions of the electromagnetic spectrum in order of frequency and in order of wavelength

3.3 Electromagnetic Spectrum

1. Syllabus Alignment – quick check

Syllabus Requirement (Cambridge IGCSE 0625)Current coverage in the notesSuggested improvement
State the speed of EM waves in vacuum and in air.Listed with two bullet points.Keep the bullet points, add a short note that the difference is <≈0.07 %> and that the same equation c = λ f applies.
Write the relationship between wavelength, frequency and speed.Provided as c = λ f.Emphasise that the formula is valid for any medium using the appropriate speed (c in vacuum, v in air).
List the main regions of the EM spectrum in order of decreasing wavelength (increasing frequency) and the reverse order.Two ordered lists are given.Combine into a single two‑column table for instant visual comparison.
State typical wavelength / frequency ranges, everyday uses and any harmful effects for each region.Comprehensive table present.Minor tidy‑up of units, add SI‑prefix column, and ensure ranges are consistent with Cambridge tables.
Explain the advantages of digital signalling over analogue.Short bullet list under “Digital vs. analogue signals”.Expand with a concise “Why digital?” box and give a Cambridge‑style example for each region.
Provide a mnemonic and a quick‑revision checklist.Mnemonic and checklist already included.Keep but format as a boxed list for easy copying.

2. Speed of electromagnetic (EM) waves

  • In vacuum: \(c = 3.00\times10^{8}\ \text{m s}^{-1}\)
  • In air (20 °C, 1 atm): \(v \approx 2.998\times10^{8}\ \text{m s}^{-1}\)

    – only 0.07 % slower than in vacuum.

For any region the relationship between wavelength \(\lambda\) (m) and frequency \(f\) (Hz) is

\(c = \lambda f\)

Replace c by v when the wave travels through air.

3. Order of the spectral regions

Decreasing wavelength (↘) → Increasing frequency (↗)Increasing wavelength (↗) → Decreasing frequency (↘)

  1. Radio waves
  2. Microwaves
  3. Infrared (IR)
  4. Visible light
  5. Ultraviolet (UV)
  6. X‑rays
  7. Gamma rays

  1. Gamma rays
  2. X‑rays
  3. Ultraviolet (UV)
  4. Visible light
  5. Infrared (IR)
  6. Microwaves
  7. Radio waves

4. Main regions – key data, uses and safety

RegionWavelength \(\lambda\)Frequency \(f\)Typical everyday usesHarmful effects (if any)
Radio waves\(>10^{-1}\ \text{m}\) (up to many km)\(<3\times10^{9}\ \text{Hz}\)FM/AM broadcast, digital radio, TV, mobile phones, Bluetooth, RFIDNon‑ionising; very high power can cause tissue heating (e.g., large transmitters)
Microwaves\(10^{-3}\) – \(10^{-1}\ \text{m}\)\(3\times10^{9}\) – \(3\times10^{11}\ \text{Hz}\)Microwave ovens, radar, satellite uplink/downlink, Wi‑Fi (2.4 GHz), 5G, digital TVThermal heating of body tissue at high power; safety interlocks required in ovens
Infrared (IR)\(7\times10^{-7}\) – \(10^{-3}\ \text{m}\)\(3\times10^{11}\) – \(4\times10^{14}\ \text{Hz}\)Remote‑control units, thermal imaging cameras, fibre‑optic links (near‑IR), heating panelsIntense IR can cause skin burns and eye injury (e.g., welding arcs)
Visible light\(4\times10^{-7}\) – \(7\times10^{-7}\ \text{m}\) (violet → red)\(4.3\times10^{14}\) – \(7.5\times10^{14}\ \text{Hz}\)Human vision, illumination, photography, fibre‑optic data links (red/near‑IR lasers)Very bright sources can damage retina; prolonged blue‑light exposure may affect eye health
Ultraviolet (UV)\(1\times10^{-8}\) – \(4\times10^{-7}\ \text{m}\)\(7.5\times10^{14}\) – \(3\times10^{16}\ \text{Hz}\)Sterilisation, fluorescent lamps, black lights, sun‑bathing, UV curing of adhesivesSkin erythema (sunburn), DNA damage → skin cancer, cataracts, photokeratitis
X‑rays\(1\times10^{-11}\) – \(1\times10^{-8}\ \text{m}\)\(3\times10^{16}\) – \(3\times10^{19}\ \text{Hz}\)Medical imaging, security scanners, crystallography, X‑ray astronomyIonising – can break chemical bonds, damage DNA, increase cancer risk; shielding required
Gamma rays\(<1\times10^{-11}\ \text{m}\)\(>3\times10^{19}\ \text{Hz}\)Radioactive decay, cancer radiotherapy, astrophysical observationsHighly ionising – severe tissue damage, mutagenic, potentially lethal; heavy shielding (lead, concrete) essential

5. Digital versus analogue signalling

Why digital?

  • Noise immunity – discrete “0” and “1” levels are less affected by small amplitude variations.
  • Easy storage and processing – data can be compressed, encrypted and error‑corrected.
  • Multiplexing – many digital streams can share the same carrier (e.g., OFDM in Wi‑Fi).

Cambridge‑style examples:

  • Radio & TV – digital broadcast (DAB, DVB‑T) in the radio and microwave bands.
  • Bluetooth & Wi‑Fi – digital packets carried on radio/microwave frequencies.
  • Fibre‑optic links – digital data encoded as light pulses in the visible/near‑IR region.

6. Quick reference – health & safety

RegionKey health / safety concernTypical protection
Radio / MicrowaveThermal heating at very high powerShielded enclosures, interlocks, maintain safe distance from high‑power transmitters
InfraredSkin burns, eye injury from intense sourcesProtective goggles, limit exposure time, use beam‑shields
UltravioletSunburn, DNA damage → skin cancer, cataractsSunscreen, UV‑blocking glasses, avoid prolonged direct exposure
X‑ray / Gamma rayIonising radiation – DNA damage, increased cancer riskLead or concrete shielding, minimise exposure time, maintain distance (ALARA principle)
VisibleGenerally non‑ionising; very bright sources can damage retinaUse appropriate eye‑protection for lasers, avoid staring at intense lights

7. Suggested diagram

A horizontal bar spanning from left (long‑wavelength radio) to right (short‑wavelength gamma). Each region is coloured, labelled, and shows its typical wavelength range (e.g., “10 km – 1 mm”). Small icons – antenna, satellite dish, remote control, eye, X‑ray tube – are placed near the relevant sections to remind students of everyday applications.

8. Revision checklist (boxed for quick copying)

  • Mnemonic (long → short wavelength): R M I V U X G (Radio, Microwave, Infrared, Visible, UV, X‑ray, Gamma).
  • Remember the fundamental relation c = λ f (or v = λ f in air).
  • Associate each region with a familiar example:

    • Radio – FM/AM broadcast, Bluetooth
    • Microwave – satellite link, Wi‑Fi, digital TV
    • Infrared – TV remote, thermal camera, fibre‑optic link
    • Visible – human eye, LED lighting
    • UV – sunburn, sterilisation lamps
    • X‑ray – medical imaging, airport scanners
    • Gamma – radiotherapy, cosmic‑ray astronomy

  • Identify the harmful effect for the ionising regions (UV, X‑ray, Gamma) and the corresponding protection.
  • Digital signalling advantages: noise immunity, easy storage/processing, encryption, error‑checking – essential for modern communications.
  • Quick conversion tip:

    λ (nm) ≈ 300 / f (THz) (useful for visible‑light calculations).