Reflection and the pulse-echo technique Edexcel International A Level Physics revision

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In plain words

Shout at a cliff and count the seconds until the echo: you have measured how far away it is. Bats, ships' sonar and hospital ultrasound scanners all do the same thing, with short bursts of sound too high to hear.

4 things to know

  1. When a wave meets a boundary between two media, some of it is transmitted and some is reflected.
  2. Pulse-echo: a short pulse is sent out, and the time t until its echo comes back is measured. The pulse travels there and back, so the distance to the reflector is vt ÷ 2.
  3. The detail that can be seen is limited by the wavelength: things much smaller than the wavelength can't be picked out. A shorter wavelength (a higher frequency) shows finer detail.
  4. It is also limited by how long each pulse lasts. Pulses must be short, so that echoes from two surfaces close together don't overlap, and spaced out, so that each echo is back before the next pulse leaves.

Worked example

An ultrasound pulse is sent into the body, and the echo from an organ returns 80 µs later. The speed of sound in tissue is 1500 m/s. Find how deep the organ is.

  1. Distance travelled = vt = 1500 × 80 × 10⁻⁶ = 0.12 m.
  2. That is there and back.
  3. Depth = 0.12 ÷ 2 = 0.060 m (6.0 cm).

Tips and tricks

  • Halve the distance: the pulse goes there and back.
  • Short wavelength for small detail; short pulses for surfaces that are close together.
5 questions, about 2 minutes.

It lands in your notebook with its questions as flashcards.

Reflection and the pulse-echo technique: 5 questions and answers

These are the quiz’s questions. Do the quiz first, then come back here for the ones that got you.

  1. An echo returns 0.20 s after a pulse is sent. The speed of sound is 340 m/s. How far away is the reflector?
    • 17 m
    • 34 m (the answer)
    • 68 m
    • 1700 m

    340 × 0.20 ÷ 2.

  2. Why is high-frequency ultrasound used for detailed scans?
    • Its shorter wavelength can pick out smaller detail. (the answer)
    • It travels faster.
    • It is louder.
    • It reflects off nothing.

    Detail much smaller than the wavelength can't be seen.

  3. What happens when a wave meets a boundary between two media?
    • Part of it is reflected and part is transmitted. (the answer)
    • All of it is always reflected.
    • All of it is always transmitted.
    • It stops.

    The echo is the reflected part.

  4. Why must the pulses be short?
    • so that echoes from surfaces close together don't overlap (the answer)
    • so that they travel faster
    • so that their wavelength is longer
    • so that they are not reflected

    Two overlapping echoes can't be told apart.

  5. A scan uses waves of wavelength 0.5 mm. Roughly what is the smallest detail it can show clearly?
    • 0.005 mm
    • 0.5 mm (the answer)
    • 5 cm
    • 5 m

    About one wavelength.

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