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UNIT SYLLABUS

W.1 Characterizing Waves

SL
Understanding the properties of waves, including frequency, wavelength, period, and amplitude.

1 Key Formulas

Wave Equation
v=fλv = f\lambda
Period
T=1fT = \frac{1}{f}

2 Exam Preparation & Topic Explanations

Wave Equation and Graphs

The wave equation v=fλv = f\lambda is used in almost every wave paper. You must be able to rearrange it: f=v/λf = v/\lambda, λ=v/f\lambda = v/f.

From a displacement–time graph: measure the time for one complete cycle → period TT, then f=1/Tf = 1/T.

From a displacement–distance graph: measure the distance between two consecutive crests → wavelength λ\lambda.

Many ‘analyse’ questions give a graph and ask you to deduce the frequency or wavelength, then calculate speed using v=fλv = f\lambda.

Pro Exam Strategy
  • Check graph axes: displacement–time gives period; displacement–distance gives wavelength.

  • Speed of light (and all EM waves) in vacuum is 3.0×108m/s3.0 \times 10^8\, m/s – you may need to use this in calculations.

  • Always write the wave equation before substituting values – this shows your reasoning.

Transverse vs Longitudinal – Exam Describe Questions

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.

Pro Exam Strategy
  • 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.

3 MCQ Practice

Q1. What is the unit of frequency?

  • Meters
  • Seconds
  • Hertz
  • Newtons

Q2. A wave has a frequency of 50 Hz and a wavelength of 6 meters. What is its velocity?

  • 0.12m/s0.12\, m/s
  • 8.33m/s8.33\, m/s
  • 300m/s300\, m/s
  • 3000m/s3000\, m/s

4 Short Answer Questions

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