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3.1Waves

General Properties OF Waves — Cambridge IGCSE Physics 0625 Revision Notes & Topical Questions

15 min read 30 parts Lesson 2 of 35 1 quiz

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Curriculum Equation Key Wave Speed & Doppler Effect FormulasFast Exam Solution
v = f × λ | f_obs = f × (v ± v_o) / (v ∓ v_s) | T = 1 / f
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Lesson summary

3.1 General Properties of Waves — IGCSE PHYSICS notes: Describe waves, their features, the wave equation, transverse and longitudinal waves and reflection, refraction and diffraction.Energy transfer — waves transfer energy without transferring matterOscillation — the medium vibra…

  • Wavelength
  • What the symbols mean
  • Crest and trough
  • Wave speed
  • Both wave types
  • Unit conversions

Part 1 of 7Waves and energy

Energy transfer
  • Energy transfer waves transfer energy without transferring matter
Oscillation
  • Oscillation the medium vibrates about a fixed point, for example water ripples move particles up and down and sound moves air back and forth
Evidence
  • Evidence a floating object bobs up and down but does not travel with the wave

Part 2 of 7Features of a wave

Features of a wave
Amplitude
  • Amplitude the maximum displacement of a wave from its undisturbed position, symbol A, unit m
Wavelength
  • Wavelength the distance from one point on a wave to the same point on the next wave, symbol λ, unit m
Frequency
  • Frequency the number of waves passing a point per second, symbol f, unit hertz (Hz)
Period
  • Period the time for one complete wave to pass a point, T = 1 ÷ f
    What the symbols mean: T = period, the time for one complete wave (s) · f = frequency (Hz)
Wavefront
  • Wavefront a line joining points on a wave that are in step, usually the crests
Crest and trough
  • Crest and trough the highest and lowest points of a wave relative to the undisturbed position
Wave speed
  • Wave speed the distance travelled by a wave each second

Part 3 of 7The wave equation

The wave equation
Equation
  • Equation v = fλ, 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)
Both wave types
  • Both wave types transverse and longitudinal waves obey the equation
Unit conversions
  • Unit conversions convert cm to m by dividing by 100, kHz to Hz by multiplying by 1000 and MHz to Hz by multiplying by 1 000 000

Part 4 of 7Transverse and longitudinal waves

PropertyTransverseLongitudinal
VibrationAt right angles to the direction of travelParallel to the direction of travel
PatternCrests and troughsCompressions and rarefactions
VacuumOnly electromagnetic waves travel through itCannot travel through it
ExamplesLight, water ripples, S-wavesSound, P-waves

Part 5 of 7Reflection, refraction and diffraction

Reflection
  • Reflection a wave bounces back at a boundary and stays in the original medium
  • Angle of incidence equals angle of reflection
  • Speed, wavelength and frequency are unchanged
Refraction
  • Refraction a wave changes speed at a boundary between media
  • Speed and wavelength change, frequency stays the same
  • Slowing waves bunch together and turn towards the normal
Diffraction
  • Diffraction waves spread out when they pass through a narrow gap or past an edge
  • Wavelength and speed are unchanged
  • Greatest when the gap width is about equal to the wavelength

Part 6 of 7Ripple tank

Purpose
  • Purpose shows reflection, refraction and diffraction of water waves
Set-up
  • Set-up a lamp above the tank projects the wavefronts onto a screen below
Measuring speed
  • Measure the length across several wavefronts and divide by the number of waves to find λ
  • Count the waves passing a point in a set time to find f
  • Calculate v = fλ and repeat to average

Part 7 of 7More from the specification

1Wave
  • Wave a disturbance that transfers energy from place to place without transferring matter
2Wavelength, frequency and amplitude
  • Wavelength, frequency and amplitude wavelength is the distance between successive crests, frequency is waves per second in hertz, amplitude is the maximum displacement
3Wave speed equation
  • Wave speed equation v = f x wavelength, with speed in metres per second
4Transverse and longitudinal waves
  • Transverse and longitudinal waves particles vibrate at right angles to the direction of travel in transverse waves and parallel to it in longitudinal waves
5Refraction at a glass block
  • Refraction at a glass block light bends towards the normal on entering glass because it slows down,
    • and the emergent ray is parallel to the incident ray
6Wave
  • Wave a disturbance that transfers energy from place to place without transferring matter
7Wavelength, frequency and amplitude
  • Wavelength, frequency and amplitude wavelength is the distance between successive crests, frequency is waves per second in hertz, amplitude is the maximum displacement
8Wave speed equation
  • Wave speed equation v = f x wavelength, with speed in metres per second
9Transverse and longitudinal waves
  • Transverse and longitudinal waves particles vibrate at right angles to the direction of travel in transverse waves and parallel to it in longitudinal waves
10Refraction at a glass block
  • Refraction at a glass block light bends towards the normal on entering glass because it slows down,
    • and the emergent ray is parallel to the incident ray

Key terms

TermMeaning
WavelengthDistance between a point on one wave and the same point on the next wave
FrequencyNumber of waves passing a point per second
AmplitudeMaximum displacement from the undisturbed position
WavefrontLine joining points on a wave that are in step
DiffractionSpreading of waves through a gap or around an edge

Avoid these mistakes

1
Saying a wave carries matter — it carries energy while the medium only oscillates.
2
Measuring amplitude from crest to trough — it is measured from the undisturbed position to a crest or trough.
3
Saying the frequency changes in refraction — frequency stays the same while speed and wavelength change.
4
Forgetting unit conversions in v = fλ — convert to m and Hz first.

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