P2.3

Amplitude and frequency

Indicative relationship: Activate 2 · Sound and Light
KS3 science lesson

Amplitude and frequency

Lesson focus: and describe different features of a sound and correspond broadly to and .

Learning objective

Interpret traces and calculate frequency while keeping amplitude, frequency, loudness and pitch distinct.

Build on earlier learning

Sound and energy transfer

The previous lesson modelled sound as changing pressure. A microphone trace now makes those variations measurable.

Practical

Seeing sound on an oscilloscope

  1. Connect a microphone to an oscilloscope.
  2. Play quiet and loud notes: the trace becomes taller (greater amplitude).
  3. Play low and high notes: more waves fit on the screen (higher frequency).

Record: Sketches of each trace with amplitude and frequency labelled.

Interactive model

Sound waves and the oscilloscope

A loudspeaker makes air particles vibrate backwards and forwards, in the same direction the sound travels. A microphone turns the vibrations into a trace on an oscilloscope.

Air particles, slowed down. The red one never travels.

Controls

2
400 Hz
Waves on the screen2.0 (screen shows 5 ms)
Wavelength in air0.85 m

Taller trace: louder. More waves on the screen: higher pitch. Speed of sound in air ≈ 340 m/s.

You will be successful when you can…

  • Measure amplitude from the centre line.
  • Calculate frequency from cycles and time.
  • Link amplitude with loudness under comparable conditions.
  • Link frequency with pitch without treating the trace as a particle path.
KEY VOCABULARY

Words that carry the science

microphone
A detector that converts sound-induced vibrations into an electrical signal.
trace
A graph of signal value against time.
amplitude
The maximum signal displacement from the equilibrium line.
frequency
The number of complete cycles per second, measured in hertz.
pitch
The perceptual quality mainly related to frequency.
loudness
A perception affected by sound intensity, frequency and the listener; larger comparable amplitudes usually sound louder.
BUILD YOUR UNDERSTANDING

Read a sound trace without confusing its axes

01Amplitude is measured from equilibrium

On a centred , is the maximum vertical displacement from the middle line. Crest-to-trough height equals twice the .

For the same equipment and scale, a larger signal amplitude represents a larger pressure variation and usually a louder sound. Gain settings must be held constant for a fair comparison.

02Frequency counts cycles in a stated time

Frequency = number of cycles ÷ time. One hertz means one complete cycle per second. A shorter period means more cycles each second and therefore a higher .

Humans usually perceive higher frequency as higher . Frequency is an objective measurement; is a perception and can be influenced by context.

03Traces depend on settings and sampling

Comparisons require the same time scale and vertical sensitivity. Changing an oscilloscope or app scale can make the same signal look taller or more spread out without changing the sound.

Real sounds are often complex rather than smooth sine waves. The repeating time pattern can still reveal frequency, while amplitude must be interpreted using the calibrated scale.

Four oscilloscope screens show the same time interval. Compared with a quiet, low note, the louder trace has larger amplitude with the same number of waves. The higher-pitched trace has more waves in the same time with the same amplitude. The last trace has both.Quiet, low noteLouder: larger amplitudeHigher pitch: higher frequencyLouder and higher pitchEvery screen shows the same time interval and the same vertical scale.
Figure · On the same microphone scale, greater amplitude indicates a larger pressure variation and usually a louder sound. More cycles in the same time means higher frequency and higher pitch.
WORKED EXAMPLE

Calculate frequency from a trace

A trace shows 8 complete cycles in 0.020 s. Calculate the frequency.

  1. Write frequency = number of cycles ÷ time.
  2. Use 8 complete cycles and 0.020 s.
  3. Calculate 8 ÷ 0.020 = 400.
  4. Attach the unit hertz because frequency counts cycles per second.

How to make the reasoning visible: The frequency is 400 Hz.

LEARN BY DOING

Compare four microphone traces

All traces were collected with identical time and voltage scales.

TraceCycles in 0.010 sAmplitude / divisionsInterpretation
A21200 Hz, smaller amplitude
B23200 Hz, larger amplitude
C51500 Hz, smaller amplitude
D53500 Hz, larger amplitude
  1. Which pair isolates the effect of amplitude, and what audible difference is expected?

  2. Compare B and D.

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

How is amplitude measured on a centred trace?

What does frequency measure?

Which wave feature mainly determines pitch?

Apply the idea

A sound completes 12 cycles in 0.030 s. Calculate its frequency.

Stretch and challenge

Two screenshots show traces of different heights. Explain why this alone does not prove one original sound was louder.

Exam Question Practice

P2.3Explain4 marks

Exam Question Practice

Mark points shown after marking

Trace X has twice the amplitude of trace Y. Both show six cycles in the same time.

Two oscilloscope traces on identical grids. Each shows six complete cycles across the screen. Trace X is twice as tall (twice the amplitude) as trace Y.XYBoth traces use the same time and voltage settings
Traces X and Y on the same settings. Illustrative.
(a)

Compare the loudness of the two sounds.

(2)
(b)

Compare the pitch of the two sounds.

(2)

Total for this question: 4 marks

Command word: For , treat amplitude and frequency as two independent comparisons.

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