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IGCSE · Cambridge (CIE) · 0654

Compare sound amplitude loudness frequency and pitch

Read time traces while changing one property at a time and distinguish graph amplitude from peak-to-peak height.

Sound · Cambridge IGCSE 0654 · P3.4

Mapped to the named 0654 section using teaching from the corresponding single-science course. A 0654-specific review of every Core and Supplement objective is still in progress. Written practice is self-checked; it does not demonstrate supervised laboratory competence or award an official Cambridge grade.

Before you begin

  • Read an oscillation time trace.
  • Distinguish amplitude from a complete-cycle count.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

A trace spans −2 to +2 units about zero. What is its amplitude?

What you will learn

  • Relate amplitude to loudness under matched conditions.
  • Relate frequency to pitch and read each property separately.
Original matched signal-versus-time traces compare base amplitude and frequency with doubled amplitude at fixed frequency and doubled frequency at fixed amplitude. Height is a plotted signal quantity; amplitude is measured from the reference, not peak to peak. Loudness comparisons assume matched receiving conditions.Matched time windowsBase amplitude and frequencyDouble amplitude · same frequencySame amplitude · double frequencyAmplitude: loudness comparisonFrequency: pitch comparison
Original matched signal-versus-time traces compare base amplitude and frequency with doubled amplitude at fixed frequency and doubled frequency at fixed amplitude. Height is a plotted signal quantity; amplitude is measured from the reference, not peak to peak. Loudness comparisons assume matched receiving conditions.

Change amplitude without changing frequency

A greater sound-wave amplitude generally corresponds to a louder sound at the same receiving conditions. Amplitude is the maximum magnitude from equilibrium or the reference value, not the full peak-to-peak span. A trace ranging from −2 to +2 units has amplitude 2 units and peak-to-peak span 4 units.

Comparisons should use the same source–receiver geometry, medium and measurement settings. Moving closer or changing microphone gain can increase a recorded amplitude without changing the emitted source frequency. Perceived loudness also depends on the listener and frequency; the school comparison holds those conditions suitably matched.

Count repetitions to compare pitch

Higher frequency corresponds to higher pitch within the audible range. A trace with four complete cycles in 0.010 s has frequency 400 Hz. A trace with eight in the same interval is 800 Hz, a higher pitch even if its displacement amplitude is unchanged.

A graph can change amplitude and frequency independently. Compare vertical excursion for amplitude and repeats per same time interval for frequency. A loud bass sound can have greater amplitude but lower frequency than a quiet high-pitched sound.

Sources for this lesson

Pause and explain

Which change raises pitch without changing the stated amplitude?

Put the idea to work

Worked example

Trace A has amplitude 2 units and four cycles in 0.010 s. B has amplitude 1 unit and eight cycles in that time. Compare under matched conditions.

Show the worked solution
  1. A has greater amplitude and is generally louder.
  2. A has 400 Hz; B has 800 Hz.
  3. B has the higher pitch despite smaller amplitude.

Answer A is generally louder; B is higher pitched under the stated comparison.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

A sound trace's amplitude doubles while frequency remains fixed. State the expected loudness and pitch changes under matched conditions.

Give me a hint

Treat the two properties separately.

Compare my reasoning
  1. Amplitude becomes greater.
  2. The sound is generally louder.
  3. Frequency is unchanged, so pitch is unchanged.

Generally louder; unchanged pitch.

Look for these in your work

  • State both properties.
  • Retain matched conditions.
2 · Independent

A trace contains six complete cycles in 0.015 s. Calculate frequency.

Give me a hint

Count cycles per second rather than vertical height.

Compare my reasoning
  1. Count = 6 and time = 0.015 s.
  2. f = 6/0.015.
  3. f = 400 Hz.

400 Hz.

Look for these in your work

  • Use complete cycles.
  • State hertz.
3 · Transfer

A closer microphone records a larger amplitude with the same cycle rate. Must the source pitch have risen?

Give me a hint

Compare arrival amplitude and temporal repetition separately.

Compare my reasoning
  1. Receiver position can change amplitude.
  2. The measured cycle rate remains unchanged.
  3. No pitch increase follows from the amplitude change.

No; the unchanged frequency indicates unchanged pitch in this model.

Look for these in your work

  • Identify the changed receiver condition.
  • Do not infer frequency from amplitude.

Common mistakes

  • Amplitude is half the peak-to-peak span.
  • Louder does not mean higher pitch.
  • Use the same time interval and receiver conditions.
Recall without your notes

What can you explain now?

Does doubling amplitude alone double frequency?

Compare with the explanation

No.

Amplitude and temporal repetition rate are independent properties in the model.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Read amplitude and frequency separately, explain loudness and pitch, and state the comparison conditions.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Sciences — Co-ordinated (Double)

Course scope and assessment

This 2028–2029 pathway maps all 152 detailed subject-content sections in the published 0654 syllabus to original teaching and staged practice. It adapts teaching from the related single-science pathways and excludes clear 0610-only topics such as classification systems, human excretion, tropic responses, food supply, population dynamics, detailed pollution and biotechnology. Some explanations may include wider single-science context. A 0654-specific objective-by-objective review, Core/Supplement audit, human subject-teacher review, supervised laboratory experience and cumulative assessment remain in progress. Written practice is self-checked and does not predict an official grade. The 2025–2027 syllabus has not been reconciled here; choose the 2028–2029 syllabus only.

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