P2.5

Echoes and ultrasound

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

Echoes and ultrasound

Lesson focus: Echoes are reflected sound waves whose return time can reveal distance, structure or movement.

Learning objective

Explain echoes and applications and calculate one-way distance from a round-trip time.

Build on earlier learning

Detecting sound

The ear detects reflected sound as an echo. This lesson uses the delay between emission and detection as quantitative evidence.

You will be successful when you can…

  • Define echo, reverberation and ultrasound.
  • Explain why an echo arrives after the original sound.
  • Calculate range using a round-trip time.
  • Evaluate sonar and medical-ultrasound uses without claiming they are identical.
KEY VOCABULARY

Words that carry the science

echo
A reflected sound detected separately from the original sound.
reflection
A wave changing direction at a boundary and returning into its original medium.
reverberation
Many closely spaced reflections that persist after the source sound.
ultrasound
Sound with frequency above the upper limit of human hearing, conventionally above 20 kHz.
sonar
A system that emits sound and analyses returning echoes to locate objects or boundaries.
range
The one-way distance from the emitter to a target.
BUILD YOUR UNDERSTANDING

Turn reflected sound into ranging evidence

01An echo is delayed reflection

When sound meets a boundary, some energy may . A separate is heard when the reflected wave returns after a sufficient delay.

Many rapid overlapping reflections produce . Soft, porous materials can absorb more sound and reduce strong reflections in theatres or recording spaces.

02Round-trip time must be halved

An emitted pulse travels to the target and back. The measured echo time therefore covers twice the range. Calculate total distance with distance = speed × time, then divide by two.

A diagram of the path prevents a common factor-of-two error. Use the speed in the actual medium, because sound travels much faster in water than in air.

03Ultrasound has several evidence-rich uses

has frequency above 20 kHz. uses echoes in water to estimate depth, map the seabed or detect objects. Bats and dolphins use biological echolocation.

Medical sends pulses into the body and detects reflections from boundaries between tissues. A computer combines many return times and signal strengths into an image. This differs from sonar in context and processing, even though both use reflected sound.

A sound pulse travels from a boat to the seabed and reflects back. The total path is labelled twice the depth, so depth equals speed multiplied by total echo time divided by two.outgoing pulsereturning echodepth = vt ÷ 2total sound path = 2 × depth
Figure · Echo time covers the outward and return journeys. Use distance = speed × time for the total path, then divide by two to find the one-way range.
Interactive model

Measuring distance with an echo

A sound pulse travels to the reflector and back. Distance = speed × time ÷ 2, because the sound goes there and back.

170 mtimer 0.000 scliff

Controls

170 m
Sound travels through
Echo timepress play and wait for the echo
Distance = speed × time ÷ 2–

Speed of sound: about 340 m/s in air and 1500 m/s in sea water. The animation runs slower than real time.

Echo time is proportional to distance, and much shorter in water where sound is faster.01002003004005000.00.51.01.52.02.53.01.00 sAirWaterDistance to reflector / mEcho time / s
WORKED EXAMPLE

Calculate sea depth from sonar

A sonar echo returns after 0.80 s. Sound speed in the water is 1500 m/s. Calculate the water depth.

  1. Write total distance = speed × time.
  2. Calculate 1500 × 0.80 = 1200 m for the outward and return path.
  3. Recognise that this path equals twice the depth.
  4. Divide 1200 m by 2.

How to make the reasoning visible: The water depth is 600 m.

LEARN BY DOING

Interpret four echo measurements

Every listed time is the total outward-and-return time.

ContextSound speed / m/sEcho time / sOne-way range
Wall in air3400.2034 m
Bat prey in air3400.0305.1 m
Seabed in water15001.601200 m
Submerged object15000.04030 m
  1. Show how the 5.1 m bat-prey range is obtained.

  2. Why would using 340 m/s for the seabed row give a poor result?

RETRIEVE · APPLY · CHECK

Check your understanding

Answer from memory, then check against the suggested answer.

What is an echo?

What frequency range is called ultrasound?

Why divide an echo path by two?

Apply the idea

A submarine receives an echo 2.4 s after emitting a pulse. Sound speed is 1500 m/s. Calculate the range.

Stretch and challenge

Two sonar echoes return at the same time but one is weaker. Explain why equal range does not guarantee identical targets.

Exam Question Practice

P2.5Calculate and explain4 marks

Exam Question Practice

Mark points shown after marking

A boat sends a sound pulse down to the seabed. The echo returns 0.60 s later. The speed of sound in water is 1500 m/s.

(a)

Calculate the depth of the seabed. Show your working.

(3)
m
(b)

Explain why you divide by two.

(1)

Total for this question: 4 marks

Command word: For , show the total path before halving it and state why the halving is required.

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