The wave equation v=fλ is used in almost every wave paper. You must be able to rearrange it: f=v/λ, λ=v/f.
From a displacement–time graph: measure the time for one complete cycle → period T, then f=1/T.
From a displacement–distance graph: measure the distance between two consecutive crests → wavelength λ.
Many ‘analyse’ questions give a graph and ask you to deduce the frequency or wavelength, then calculate speed using v=fλ.
Check graph axes: displacement–time gives period; displacement–distance gives wavelength.
Speed of light (and all EM waves) in vacuum is 3.0×108m/s – you may need to use this in calculations.
Always write the wave equation before substituting values – this shows your reasoning.
A classic 3‑mark ‘describe’ question: “Describe how you could demonstrate the difference between transverse and longitudinal waves using a slinky spring.”
Model answer:
- Stretch the slinky on the floor.
- For transverse: flick one end side‑to‑side. The coils move perpendicular to the direction the pulse travels.
- For longitudinal: push and pull one end. The coils move parallel to the direction of travel, showing compressions and rarefactions.
Diagrams are always helpful.
Transverse waves: examples – ripples on water, all EM waves, S‑waves (earthquakes).
Longitudinal waves: examples – sound, P‑waves.
Polarisation is only possible with transverse waves – this can be an extension question.
Q1. What is the unit of frequency?
Q2. A wave has a frequency of 50 Hz and a wavelength of 6 meters. What is its velocity?
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