What are the key learning points about the types of wave?
To understand the difference between transverse wave A wave that moves in a direction at right angles to the way in which the particles are vibrating. and longitudinal waveA wave that moves in the same direction (parallel) as the direction in which the particles are vibrating. waves.
To identify the different parts of a wave.
To be able to understand the different graphs used for waves.
What are waves?
Waves transfer energy from one place to another through vibrations(oscillationsThe repeated and regular fluctuations, above and below the same position, e.g the pressure of a sound wave or the voltage of an alternating current.).
For example:
Ripples cause water particles to vibrate up and down.
Sound waves cause air particles to vibrate back and forth.
The direction of these oscillations is the difference between longitudinal waveA wave that moves in the same direction (parallel) as the direction in which the particles are vibrating. and transverse wave A wave that moves in a direction at right angles to the way in which the particles are vibrating. waves.
What are transverse waves?
A transverse wave is one in which the vibrations of the particles are perpendicular (at right angles) to the direction of travel of the wave.
How to demonstrate transverse waves
Transverse waves are often demonstrated by moving a rope rapidly up and down.

Image caption, 1. A hand holds a length of rope taut.

Image caption, 2. The hand is flicked down and an inverted u-shape has appeared in the rope.

Image caption, 3. The hand is jerked up and a second u-shape has appeared in the rope.

Image caption, 4. In the diagram the rope moves up and down, producing peaks and troughs.
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Energy is transferred at right angles to the hand movement.
However, none of the particles are transported along a transverse wave.
Examples of transverse waves include:
Ripples on the surface of water.
Vibrations in a guitar string.
A Mexican wave in a sports stadium.
Electromagnetic waves – eg light waves, microwaves, radio waves, x-rays.
What are mechanical and electromagnetic waves?
Mechanical waves cause oscillationsThe repeated and regular fluctuations, above and below the same position, e.g the pressure of a sound wave or the voltage of an alternating current. of particles in a solid, liquid or gas and must have a medium to travel through – they cannot pass through a vacuumA volume of space that contains no matter..
Electromagnetic waves cause oscillations in electrical and magnetic fields and can travel through a vacuum.
What are longitudinal waves?
A longitudinal wave is one in which the vibrations of the particles are parallel to the direction of travel of the wave.
How to demonstrate longitudinal waves
longitudinal waveA wave that moves in the same direction (parallel) as the direction in which the particles are vibrating. show areas of compression and rarefaction:
Compressions are regions of high pressure due to particles being close together.
Rarefactions are regions of low pressure due to particles being spread further apart.

Image caption, 1. An outstretched slinky spring

Image caption, 2. Ten coils near one end are compressed

Image caption, 3. Ten coils near the other end are compressed

Image caption, 4. The direction of the wave and the direction of the vibrations.
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In the diagram, the compression moved from left to right and energy is transferred from left to right.
The movement of the coils of the slinky and the energy are parallel.
However, none of the particles are transported along a longitudinal waveA wave that moves in the same direction (parallel) as the direction in which the particles are vibrating.
Instead, they move backwards and forwards as the wave is transmitted through the mediumA material through which a wave can be transmitted (propagate)..
Examples of longitudinal waves include:
Sound waves.
ultrasoundSound with a frequency greater than 20,000 Hz (20 kHz). waves.
One way of remembering examples of longitudinal waves is to emphasise the O in lOngitudinal and sOund and ultrasOund.
Key fact
All waves transfer energy from one place to another, but they do not transfer matter.
What are the different parts of a wave?
Waves are described using the following terms:
Rest position (equilibrium position) - the undisturbed position of particles or fields when they are not vibrating.
Displacement - the distance that a certain point in the medium has moved from its rest position.
Peak - the highest point above the rest position.
Trough - the lowest point below the rest position.
Amplitude - the maximum displacement of a point of a wave from its rest position.
Wavelength λ – distance from one point on a wave to the next identical point.
Wavelength is measured in m.
For a transverse waveA wave that moves in a direction at right angles to the way in which the particles are vibrating. it is usually measured from a peak to the next peak, or trough to the next trough.
For a longitudinal waveA wave that moves in the same direction (parallel) as the direction in which the particles are vibrating. it is usually measured from a compression to the next compressionAn area of increased pressure. In longitudinal waves, the particles in areas of compression are closer together than on average., or rarefactionAn area of reduced pressure. In longitudinal waves, the particles in areas of rarefaction are further apart than on average. to the next rarefaction.
Time period T - the time taken for a full wave.
- Period is measured in s.
- A period of 2 s means that the time for one complete vibration is 2 s or that the time taken for one complete wave to pass a point is 2 s.
Frequency f - the number of waves passing a point each second.
- Frequency is measured in hertz Hz.
- A frequency of 50 Hz means there are 50 vibrations every second.
How is information about a wave displayed in a graph
There are two types of graphs used to display information about a wave:
- Displacement–distance graph:
As the x-axis is distance, the following can be measured from this graph:
- amplitude;
- wavelength.
- Displacement-time graph:
As the x-axis is time, the following can be measured from this graph:
amplitude;
period.
Question
A graph of displacement against distance for a wave passing through water is given below.
- What is the wavelength of the wave?
- What is the amplitude of the wave?
Answer
Wavelength is the distance covered by a full cycle of the wave, usually measured from peak to peak, or trough to trough.
The distance between 2 peaks is 8 m.
The wavelength of the wave is 8 m.
Amplitude is the maximum displacement of a point of a wave from its rest position.
The maximum displacement is 2.5 mm.
The amplitude of the wave is 2.5 mm.
Question
What is the amplitude of this wave?
What is the period of this wave?
Answer
Amplitude is the maximum displacement of a point of a wave from its rest position.
The maximum displacement is 0.2 m.
The amplitude of the wave is 0.2 m.
Period is the time for one full cycle of the wave.
The time for one full wave is 0.5 – 0.1 s.
The period is 0.4 s.
How much do you know about types of wave?
More on Unit 2: Waves
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