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GCSE/Combined Science/OCR

P4.1Wave behaviour: transverse and longitudinal waves; v = fλ; reflection, refraction and absorption

Notes

Wave behaviour

Transverse vs longitudinal

  • Transverse: oscillations perpendicular to direction of energy transfer (water surface, light, all EM waves, S-waves).
  • Longitudinal: oscillations parallel to direction of energy transfer (sound, P-waves) — show compressions and rarefactions.

In both, energy and information travel without net particle movement.

Wave properties

  • Wavelength λ — distance between two consecutive points in phase (m).
  • Frequency f — number of complete waves per second (Hz).
  • Period T — time for one cycle (s); T = 1/f.
  • Amplitude — maximum displacement from equilibrium (m).
  • Speed v — distance travelled per second.

The wave equation: v = f × λ.

Worked exampleWorked examples

A water wave has frequency 0.4 Hz and wavelength 1.5 m. v = 0.4 × 1.5 = 0.6 m/s.

A sound at 256 Hz in air (v = 340 m/s): λ = 340 / 256 = 1.33 m.

Reflection, refraction, absorption, transmission

When a wave meets a boundary one or more of these can occur:

  • Reflection — wave bounces back; angle of incidence = angle of reflection (smooth surface) → mirror image; rough surface → diffuse scattering.
  • Refraction — wave changes speed and bends as it crosses into a different medium (light slows in glass; bends towards the normal).
  • Absorption — wave's energy transfers to the medium (microwave heating water).
  • Transmission — wave passes through.

The total energy is conserved across all four pathways.

OCR PAG P5 — measuring wave speed

Two methods you must know:

  1. Ripple tank: measure λ with a ruler and f with a stroboscope; v = fλ.
  2. Sound: timing echoes off a wall a known distance away; v = 2d / t.

OCR exam tip

A graph of displacement vs distance shows λ on the x-axis (peak to peak); displacement vs time shows T (period) on the x-axis. Mis-reading these is the most common 1-mark loss.

AI-generated · claude-opus-4-7 · v3-ocr-combined-science-leaves

Practice questions

Try each before peeking at the worked solution.

  1. Question 13 marks

    Apply v = fλ

    OCR Paper P2 (Foundation)

    A water wave has a wavelength of 0.50 m and a frequency of 4.0 Hz.

    Calculate the speed of the wave and give the unit. (3 marks)

    Ask AI about this

    AI-generated · claude-opus-4-7 · v3-ocr-combined-science-leaves

  2. Question 22 marks

    Compare transverse and longitudinal

    OCR Paper P2 (Foundation)

    State two differences between a transverse wave and a longitudinal wave. (2 marks)

    Ask AI about this

    AI-generated · claude-opus-4-7 · v3-ocr-combined-science-leaves

  3. Question 33 marks

    Measure speed of sound by echo

    OCR Paper P2 (Higher) — PAG P5

    A student claps her hands 50.0 m from a wall and hears the echo 0.30 s later.

    Calculate the speed of sound in air. (3 marks)

    Ask AI about this

    AI-generated · claude-opus-4-7 · v3-ocr-combined-science-leaves

Flashcards

P4.1 — Wave behaviour: transverse and longitudinal waves; v = fλ; reflection, refraction and absorption

7-card SR deck for OCR GCSE Combined Science — Leaves (batch 1) topic P4.1

7 cards · spaced repetition (SM-2)