All subjects · Physics · WPH12 (Unit 2)

Core practical 4: speed of sound in air

Core practical 4 measures the speed of sound using a signal generator, loudspeaker, microphone and a two-beam (dual-trace) oscilloscope.

Method

Calculation

λ = total distance / n, and v = fλ, with f read from the signal generator (or found from the oscilloscope: T = number of divisions for one cycle x time-base setting, f = 1/T). Repeating for several frequencies and plotting λ against 1/f gives a straight line of gradient v.

Improving accuracy

Worked example

At 2.0 kHz the microphone is moved until the traces have come back into phase 5 times, a total distance of 0.85 m. Find the speed of sound.

  1. λ = 0.85 / 5 = 0.17 m
  2. v = fλ = 2000 x 0.17

Answer: v = 340 m/s

Key idea: Each return to in phase = one wavelength moved. Measure over many wavelengths; v = fλ or the gradient of λ against 1/f.

Check yourself

  1. Sound of frequency 1500 Hz has a measured wavelength of 0.228 m. Find the speed of sound in m/s.
    Show answer

    342 m/s. v = fλ = 1500 x 0.228 = 342 m/s.

  2. At 2000 Hz, the microphone moves 0.68 m as the traces come back into phase 4 times. Find the speed of sound in m/s.
    Show answer

    340 m/s. λ = 0.68 / 4 = 0.17 m; v = 2000 x 0.17 = 340 m/s.

  3. On the oscilloscope, one cycle spans 2.5 divisions with the time-base at 0.20 ms per division. Find the frequency in Hz.
    Show answer

    2000 Hz. T = 2.5 x 0.20 ms = 0.50 ms; f = 1 / 0.00050 = 2000 Hz.

  4. The microphone is moved until the two traces are back in phase for the first time. How far has it moved?
    • One wavelength
    • Half a wavelength
    • A quarter of a wavelength
    • Two wavelengths
    Show answer

    One wavelength. Points one wavelength apart oscillate in phase.

  5. Why is the microphone moved through several wavelengths rather than one?
    • To make the sound louder
    • To change the frequency
    • To reduce the percentage uncertainty in the wavelength
    • To remove reflections
    Show answer

    To reduce the percentage uncertainty in the wavelength. The uncertainty in reading positions stays the same, but the measured distance is larger.

  6. A graph of λ (y-axis) against 1/f (x-axis) is a straight line through the origin. What is its gradient?
    • The speed of sound
    • The frequency
    • The period
    • 1 / speed of sound
    Show answer

    The speed of sound. λ = v x (1/f), which has the form y = mx with m = v.

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Sources

Last updated 7 November 2026. Spotted a mistake? Tell us.