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IGCSE · Cambridge (CIE) · 0972

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.

Section 3.4 · Sound

Sound pathway · 0972 (9–1) · 3.4
Exam scope and assessment notes

Core and Extended · Physics 0972, 2026–2028. Follow the selected spectrum or sound section. Diagrams illustrate stated ideal models and supplied data. Written practice is self-checked. Human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

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.

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.

Test this topic →

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 Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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