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P3.1P3. Waves

General properties of waves — Combined Science 0653 - Physics Revision Notes & Topical Questions

5 min read 10 parts Lesson 2 of 9 1 quiz

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P3.1 General properties of waves — COMBINED SCIENCE notes: Describe wave features, use v = fλ and f = 1/T, distinguish transverse from longitudinal waves, and describe reflection, refraction and diffraction.Wave = an oscillation or vibration about a fixed point that transfers ene…

  • Observing waves
  • Amplitude (A)
  • Wavelength (λ)
  • Frequency (f)
  • Crest (peak)
  • Wave speed (v)

Part 1 of 8Waves and energy transfer

Wave
Wave an oscillation or vibration about a fixed point that transfers energy without transferring matter.
Evidence
  • Evidence an object floating on water bobs up and down but does not travel with the wave.
Examples
  • Examples ripples make water particles oscillate up and down, and sound makes air particles vibrate back and forth.
Observing waves
  • Observing waves vibrations in ropes and springs, and water waves in a ripple tank, show wave properties.

Part 2 of 8Features of a wave

Features of a wave
Wavefront
Wavefront a line joining points on a wave that are in step, usually the crests, seen from above.
  • The direction of travel is shown by a ray at right angles to the wavefronts.
  • The gap between wavefronts is the wavelength.
Amplitude (A)
Amplitude (A) the maximum displacement of a wave from its undisturbed position, measured in metres.
  • It is measured from the rest position to a crest or trough, not from crest to trough.
Wavelength (λ)
Wavelength (λ) the distance from one point on a wave to the same point on the next wave, in metres.
  • In a transverse wave it is crest to crest, and in a longitudinal wave it is compression centre to compression centre.
Frequency (f)
Frequency (f) the number of waves passing a point per second, in hertz (Hz).
Crest (peak)
Crest (peak) the highest point of a wave above its undisturbed position.
Trough
Trough the lowest point of a wave below its undisturbed position.
Wave speed (v)
Wave speed (v) the distance travelled by a wave each second, in m/s.

Part 3 of 8Wave equation and period

Wave equation
  • Wave equation v = f × λ, with v in m/s, f in Hz and λ in m.
    What the symbols mean: v = wave speed (m s−1) · f = frequency (Hz) · λ = wavelength (m)
  • It applies to both transverse and longitudinal waves.
Period (T)
Period (T) the time taken for one complete wave to pass a fixed point.
Link
  • Link f = 1 ÷ T and T = 1 ÷ f, with T in seconds.
Speed from distance
  • Speed from distance v = d ÷ t for the distance a wave pulse travels.
Fixed speed
  • Fixed speed a higher frequency means a shorter wavelength.

Part 4 of 8Transverse and longitudinal waves

PropertyTransverseLongitudinal
VibrationAt right angles to the direction of travelParallel to the direction of travel
StructureCrests and troughsCompressions and rarefactions
VacuumOnly electromagnetic waves can travel through itCannot travel through it
MediaSolids and the surface of liquids for mechanical wavesSolids, liquids and gases
Pressure and densityConstantVary along the wave
ExamplesLight and all electromagnetic waves, water ripples, waves on a rope, seismic S-wavesSound, seismic P-waves, waves on a slinky
Compression
  • Compression a region where particles are close together and the pressure is high.
Rarefaction
  • Rarefaction a region where particles are spread apart and the pressure is low.

Part 5 of 8Reflection, refraction and diffraction

Medium
  • Medium the material a wave travels through, and several are called media.
All waves
  • All waves transverse and longitudinal waves can all be reflected, refracted and diffracted.
Reflection
Reflection a wave bounces back at a boundary and stays in the original medium.
  • Angle of incidence = angle of reflection, measured from the normal.
  • Speed, wavelength and frequency do not change.
Refraction
Refraction a change in the speed of a wave when it crosses a boundary between two media.
  • The speed, wavelength and direction change, but the frequency does not.
  • A wave that slows down bunches up, so its wavelength decreases and it turns towards the normal.
  • A wave that speeds up spreads out, so its wavelength increases and it turns away from the normal.
Diffraction
Diffraction the spreading out of waves as they pass through a gap or around an edge, with no change in wavelength.

Part 6 of 8Factors affecting diffraction

Gap width
  • Gap width diffraction is greatest when the gap is about the same size as the wavelength.
Wide gap
  • Wide gap as the gap gets much wider than the wavelength, the waves hardly spread and only the edges curve.
Wavelength
  • Wavelength longer wavelengths diffract more around gaps and edges.
Everyday evidence
  • Everyday evidence long-wavelength radio waves bend round hills and long-wavelength sound bends round corners,
    • but light with a tiny wavelength does not.

Part 7 of 8Investigating waves in a ripple tank

1
Fill a shallow, level tank with water and fit a vibrating straight bar (dipper) driven by a motor to make plane waves.
2
Shine a lamp above the tank so the wavefronts show as bright and dark lines on a screen below.
3
For reflection, place a metal bar at an angle and compare the angles of the incident and reflected wavefronts.
4
For refraction, place a glass block under the water so that the water over it is shallow, and watch the waves slow down and the wavelength shorten.
5
For diffraction, place barriers to make a gap or an edge and change the gap width or the motor frequency.
Motor frequency
  • Motor frequency a higher frequency gives a shorter wavelength and a lower frequency gives a longer wavelength.
Depth
  • Depth waves travel more slowly in shallow water.

Part 8 of 8More from the specification

More from the specification
Wave features
  • Wave features amplitude, wavelength, frequency, and the wave speed equation v = f lambda describe waves.
Transverse and longitudinal
  • Transverse and longitudinal particles vibrate at right angles to travel in a transverse wave and along it in a longitudinal wave.
Wavefront
  • Wavefront a line joining points in phase, shown as an arrow perpendicular to it giving the direction of travel.
Waves transfer energy
  • Waves transfer energy a wave causes particles to oscillate about a fixed position while the energy moves on without net movement of matter.
Image
  • Image reflection forms an image, which identify as virtual or real depending on whether rays actually meet.
Wave features
  • Wave features amplitude, wavelength, frequency, and the wave speed equation v = f lambda describe waves.
Transverse and longitudinal
  • Transverse and longitudinal particles vibrate at right angles to travel in a transverse wave and along it in a longitudinal wave.
Wavefront
  • Wavefront a line joining points in phase, shown as an arrow perpendicular to it giving the direction of travel.
Waves transfer energy
  • Waves transfer energy a wave causes particles to oscillate about a fixed position while the energy moves on without net movement of matter.
Image
  • Image reflection forms an image, which identify as virtual or real depending on whether rays actually meet.

Key terms

TermMeaning
WavelengthThe distance between the same points on two neighbouring waves.
FrequencyThe number of waves passing a point per second, in hertz.
AmplitudeThe maximum displacement of a wave from its undisturbed position.
WavefrontA line joining points on a wave that are in step.
Transverse waveA wave whose vibrations are at right angles to the direction of travel.
Longitudinal waveA wave whose vibrations are parallel to the direction of travel.
CompressionA region of a longitudinal wave where particles are close together.
RarefactionA region of a longitudinal wave where particles are spread apart.
DiffractionThe spreading of waves as they pass through a gap or round an edge.

Avoid these mistakes

1
Measuring amplitude from crest to trough — amplitude is measured from the rest position to a crest or trough.
2
Saying the frequency changes when a wave refracts — it stays the same, only speed and wavelength change.
3
Saying a wave carries matter along with it — it transfers energy only.
4
Saying sound can travel through a vacuum — it is longitudinal and needs a medium.
5
Saying diffraction changes the wavelength — the wavelength stays the same.

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