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Waves & The Electromagnetic Spectrum

Waves · 1 question type

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4PH1 Topics

Waves & The Electromagnetic Spectrum14%
  1. Transverse and Longitudinal Waves
  2. Describing Wave Motion
  3. The Wave Equation
  4. The Doppler Effect
  5. Electromagnetic Waves
  6. Applications of Electromagnetic Waves
  7. Dangers of Electromagnetic Waves
Reflection & Refraction9%
Sound7%

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This topic accounts for approximately 14% of your exam marks.

stable
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Stable14%

Wave equation (v = fλ), transverse vs longitudinal and EM spectrum properties tested consistently.

What a wave is

  • A wave is a disturbance produced by an oscillating source that transfers energy (and information) from place to place without transferring matter
  • The particles of the medium oscillate about a fixed position; the wave moves through them, but they do not travel with it
  • A toy duck floating on water is the classic visualisation: a passing ripple lifts the duck up and lets it back down, but the duck itself stays roughly where it was

Two ways a wave can vibrate

  • All waves fall into one of two categories, set by which direction the medium vibrates relative to the wave's travel:
    • Transverse waves: the oscillation is perpendicular to the direction of energy transfer
    • Longitudinal waves: the oscillation is parallel to the direction of energy transfer

Transverse waves

  • A transverse wave shows alternating peaks (the highest points above the rest position) and troughs (the lowest points below it)
  • Transverse waves can travel through solids and along the surface of a liquid, but a mechanical transverse wave cannot travel through the body of a liquid or any gas (the molecules have no lateral spring to vibrate against)
  • Electromagnetic waves are transverse and can travel through solids, liquids, gases, and a vacuum; they are the only transverse waves not bound by needing a material medium
  • Everyday examples of transverse waves:
    • ripples on the surface of a pond
    • a flicked rope or skipping line
    • the vibrations of a plucked guitar string
    • S-waves in earthquakes (one of the two main seismic wave types)
    • all electromagnetic waves (light, radio, X-rays, microwaves and so on)

Longitudinal waves

  • A longitudinal wave shows alternating compressions (particles bunched closer together than average) and rarefactions (particles spread further apart than average)
  • The medium's density and pressure rise and fall as the wave passes
  • Longitudinal waves travel through solids, liquids and gases because the medium can be compressed and expanded along the line of travel; they cannot travel through a vacuum because there are no particles to compress
  • Everyday examples of longitudinal waves:
    • sound waves in air, water and steel
    • P-waves in earthquakes (the faster of the two main seismic wave types)
    • pressure waves in any fluid (a sudden push on a piston of water)
A side-by-side comparison of a transverse wave on a rope and a longitudinal wave on a slinky spring, each with arrows showing the direction of vibration and the direction of energy transfer
A side-by-side comparison of a transverse wave on a rope and a longitudinal wave on a slinky spring, each with arrows showing the direction of vibration and the direction of energy transfer

Side-by-side comparison

FeatureTransverse wavesLongitudinal waves
Direction of oscillationPerpendicular to energy transferParallel to energy transfer
Visible featuresPeaks and troughsCompressions and rarefactions
Density of mediumStays roughly constantRises and falls as wave passes
Pressure of mediumStays roughly constantRises and falls as wave passes
Travels in solids?YesYes
Travels in liquids?On the surface only (or as EM through liquid)Yes (right through)
Travels in gases?EM onlyYes
Travels in a vacuum?EM waves onlyNo
Common examplesRipples, guitar strings, all EM wavesSound, P-waves, pressure waves

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Describing Wave Motion