P3.1P3. Waves
General properties of waves — Combined Science 0653 - Physics Revision Notes & Topical Questions
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Lesson summary
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
| Property | Transverse | Longitudinal |
|---|---|---|
| Vibration | At right angles to the direction of travel | Parallel to the direction of travel |
| Structure | Crests and troughs | Compressions and rarefactions |
| Vacuum | Only electromagnetic waves can travel through it | Cannot travel through it |
| Media | Solids and the surface of liquids for mechanical waves | Solids, liquids and gases |
| Pressure and density | Constant | Vary along the wave |
| Examples | Light and all electromagnetic waves, water ripples, waves on a rope, seismic S-waves | Sound, 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
| Term | Meaning |
|---|---|
| Wavelength | The distance between the same points on two neighbouring waves. |
| Frequency | The number of waves passing a point per second, in hertz. |
| Amplitude | The maximum displacement of a wave from its undisturbed position. |
| Wavefront | A line joining points on a wave that are in step. |
| Transverse wave | A wave whose vibrations are at right angles to the direction of travel. |
| Longitudinal wave | A wave whose vibrations are parallel to the direction of travel. |
| Compression | A region of a longitudinal wave where particles are close together. |
| Rarefaction | A region of a longitudinal wave where particles are spread apart. |
| Diffraction | The 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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