Graphical Representations of Transverse & Longitudinal Waves
- Transverse and longitudinal waves can be represented graphically
Transverse Waves
- Transverse waves show areas of crests (peaks) and troughs
Diagram of a transverse wave
- The peaks are the maximum positive displacements
- The troughs are the maximum negative displacements
- The direction of the energy transfer is perpendicular to the direction of vibration of the particles in the wave
Longitudinal Waves
- Longitudinal waves show areas of compressions and rarefactions
Diagram of a longitudinal wave
- The compressions are areas of high pressure due to particles being close together.
- The rarefactions are areas of low pressure due to the particles spread further apart
- The direction of energy transfer is parallel to the direction of vibration of the particles in the wave
Worked example
The graph shows how the displacement of a particle in a wave varies with time.Which statement is correct?
A. The wave has an amplitude of 2 cm and could be either transverse or longitudinal.
B. The wave has an amplitude of 2 cm and has a time period of 6 s.
C. The wave has an amplitude of 4 cm and has a time period of 4 s.
D. The wave has an amplitude of 4 cm and must be transverse.
ANSWER: A
Examiner Tip
Both transverse and longitudinal waves can look like transverse waves when plotted on a graph - make sure you read the question and look for whether the wave travels parallel (longitudinal) or perpendicular (transverse) to the direction of travel to confirm which type of wave it is.