Grade by Grade
E. Waves and Sound · Waves and Sound

Echolocation, Infrasonic and Ultrasonic Hearing

E3.6 E2.4 A2.1 A2.2About 65 minutes
Learning goals
  • I can explain how bats and toothed whales use echolocation, using wave properties.
  • I can explain why high frequencies are used to detect small objects and why low frequencies travel far.
  • I can calculate distances from echo times and wavelengths from frequencies.
  • I can describe technologies and careers that use sound, and a Canadian contribution to the science of sound.

Words to know

echolocation
Finding objects by sending out sounds and listening to the echoes.
sonar
SOund Navigation And Ranging: technology that uses underwater sound pulses and their echoes to find depth or objects.
time of flight
The time between sending a pulse and receiving its echo; distance = v × t ÷ 2.
infrasonic hearing
The ability to detect sound below about 20 Hz.
ultrasonic hearing
The ability to detect sound above about 20 kHz.
sonographer
A health professional who uses ultrasound equipment to make images of the inside of the body.

Seeing with sound

On a summer evening near a lake in Ontario, watch bats swooping over the water. They catch flying insects in near-darkness. They are not relying on their eyes: they are listening. In this last teaching lesson of the unit, you will use everything you know about waves (frequency, wavelength, reflection, speed and the Doppler effect) to explain how animals hear sounds we cannot, and how people copy them.

Echolocation

An echolocating animal sends out short, loud calls and listens for the echoes:

  • The time delay of an echo gives the distance: d = v t ÷ 2.
  • The loudness and direction of the echo give the size and position of the target (two ears compare arrival times and loudness).
  • A Doppler shift in the echo tells whether the target is moving toward or away.

Bats that hunt insects use mostly ultrasonic calls, above 20 kHz. Why so high? The wavelength must be about as small as the target, or the wave mostly passes around it instead of reflecting. A 20 kHz call in air has λ ≈ 17 mm, too big to give a strong echo from a small mosquito; an 80 kHz call has λ ≈ 4.3 mm. The trade-off: high-frequency sound is absorbed by air more quickly, so it only works over short distances (a few metres to tens of metres). As a bat closes in on an insect, it calls faster and faster, a rapid "feeding buzz", to update the target's position.

Toothed whales such as dolphins, porpoises and the belugas of the Arctic and the St. Lawrence River produce rapid clicks and focus them with a fatty organ in the forehead called the melon. Sound travels about 4.5 times faster in water than in air, so the same frequency has a longer wavelength in water.

Some insects fight back: many moths can hear bat calls and dive or swerve when they detect them, and some tiger moths make clicks of their own.

batoutgoing callsinsectechoesdistance d = v t ÷ 2 (t = time from call to echo)
Echolocation. The bat's outgoing calls reflect from an insect, and the time until the echo returns tells the bat the distance.
20 kHz in air: λ ≈ 17 mm80 kHz in air: λ ≈ 4.3 mmShorter wavelengths reflect well from smaller objects, so higher-frequency calls reveal smaller insects and finer detail.(drawn at the same scale: 10 px = 1 mm)
Two ultrasonic calls drawn to the same scale. The 80 kHz call has a wavelength about a quarter as long, so it reflects strongly from much smaller insects.

Infrasonic and ultrasonic hearing

Ultrasonic hearing (above 20 kHz): bats, dolphins, dogs and cats all hear above the human range. That is why a dog whistle, which sounds silent to us, makes a dog's ears perk up.

Infrasonic hearing (below 20 Hz): elephants make very low rumbles, partly below 20 Hz, and large whales such as blue and fin whales make very low-frequency calls. Low frequencies have long wavelengths and are absorbed very little, so they travel far: elephant rumbles can be detected kilometres away, and some whale calls travel hundreds of kilometres through the ocean. Long waves also bend easily around obstacles such as trees and hills.

The pattern: high frequency → short wavelength → fine detail, short range. Low frequency → long wavelength → long range, little detail.

People using sound

  • Sonar on ships sends sound pulses down and times the echoes to map the sea floor and find fish or submarines.
  • Medical ultrasound uses frequencies of millions of hertz (MHz). Echoes from the boundaries between tissues build an image of a baby before birth, the heart or other organs, without the ionizing radiation of X-rays. Doppler ultrasound measures blood flow.
  • Ultrasonic sensors on cars beep as you back toward an obstacle; ultrasonic cleaners shake dirt off jewellery and tools.
  • Some people who are blind have learned to echolocate with tongue clicks, sensing walls, cars and doorways from the echoes.

A Canadian pioneer

Reginald Fessenden (born in Quebec in 1866) was an inventor best known for pioneering radio broadcasting. After the sinking of the Titanic in 1912, he developed an underwater sound device, the Fessenden oscillator, for signalling between ships, and in 1914 he demonstrated that it could detect an iceberg by its echo, an early step toward sonar.

Careers in sound (A2.1)

  • Audiologist: tests hearing and fits hearing aids; usually a university degree followed by a master's degree in audiology.
  • Diagnostic medical sonographer: makes ultrasound images; usually a college or specialized post-secondary program and certification.
  • Acoustical engineer: designs quiet buildings, concert halls, noise barriers and products; an engineering degree.
  • Hydrographer or sonar technician: maps waters and the sea floor with sonar; college or university training, sometimes through the Canadian Armed Forces or the Canadian Hydrographic Service.
shipechopingsea floorfish give weaker echoes
Sonar. A ship sends a sound pulse (ping) down; the echo from the sea floor returns after time t, so the depth is v t ÷ 2. Not to scale.
Worked example

Example 1: How far is the moth?

A bat hears the echo of its call 0.020 s after making it. The air is 20 °C. How far away is the moth?

  1. v = 343 m/s. The sound travels there and back.
  2. d = v t ÷ 2 = 343 × 0.020 ÷ 2 = 3.4 m.

About 3.4 m

Worked example

Example 2: Choosing a frequency

A bat hunts insects about 5 mm long. Roughly what frequency gives a wavelength of 5 mm in air at 20 °C?

  1. Set λ ≈ 5 mm = 0.005 m.
  2. f = v/λ = 343 ÷ 0.005 = 68 600 Hz ≈ 69 kHz.
  3. This is ultrasonic, well above human hearing, which matches what insect-hunting bats use.

About 70 kHz

Worked example

Example 3: A beluga's click

A beluga in sea water (v = 1530 m/s) hears the echo of a click from a seal 0.040 s later. How far away is the seal? If the click is 50 kHz, what is its wavelength in water?

  1. d = v t ÷ 2 = 1530 × 0.040 ÷ 2 = 30.6 m ≈ 31 m.
  2. λ = v/f = 1530 ÷ 50 000 = 0.0306 m ≈ 3.1 cm.

About 31 m; λ ≈ 3.1 cm

Worked example

Example 4: An elephant's rumble

An elephant's rumble has a frequency of 15 Hz. Find its wavelength in air at 20 °C and explain why such sounds travel far.

  1. λ = v/f = 343 ÷ 15 ≈ 23 m.
  2. Waves this long are absorbed very little by air and bend around trees and hills, so they keep their energy over long distances.

About 23 m

Just for fun

Funny-but-true: some tiger moths answer a hunting bat with ultrasonic clicks of their own. In some species the clicks warn "I taste terrible"; in others they seem to jam the bat's sonar. Talk about talking back!

Hands-on activity

Try human echolocation

You need: a partner, a chair, a blindfold (or simply close your eyes), and a large flat object such as a big hardcover book, a cutting board or a tray. Stay seated the whole time so nobody can trip.

  1. Sit on the chair with your eyes closed. Practise a sharp tongue click (like "tsk") or a short "sh" sound.
  2. Your partner silently holds the board about 30 cm in front of your face, or holds nothing. Click several times and say "board" or "no board".
  3. Do 20 trials, with the partner choosing randomly (they can flip a coin). Record how many you got right.
  4. Try with the board at 60 cm, and try a soft object such as a pillow.
  5. Calculate the echo delay for 30 cm: t = 2d/v.

What to look for: many people score well above 10 out of 20 (chance) at 30 cm. The echo delay is only 2 × 0.30 ÷ 343 ≈ 0.0017 s, too short to hear as a separate echo; instead the click sounds slightly "fuller" or "brighter" because the echo overlaps it. The pillow is harder to detect because soft materials absorb sound instead of reflecting it.

Your turn

1

What is echolocation?

2

A bat's echo returns after 0.010 s in 20 °C air. How far is the insect?

3

Why do insect-hunting bats use ultrasonic frequencies?

4

Why can elephant rumbles be detected kilometres away?

5

Give two technologies that use ultrasound.

6

Name one career that uses the physics of sound, and the training it needs.

7

What did Reginald Fessenden contribute to underwater sound?

More practice: warm-up

1

What does sonar stand for?

2

Is a dog whistle infrasonic or ultrasonic?

3

Name an animal that uses infrasound.

4

Which organ do dolphins use to focus their clicks?

5

Write the formula for distance from an echo time.

More practice: on your own

1

A ship's sonar echo from the sea floor returns after 1.2 s. Sound travels 1500 m/s in this water. How deep is it?

2

Find the wavelength of a 40 kHz bat call in 20 °C air. Could it detect a 1 mm gnat well? Explain.

3

A medical ultrasound uses 5.0 MHz in soft tissue (v = 1540 m/s). Find the wavelength.

4

Explain the trade-off between range and detail when choosing an echolocation frequency.

5

A bat flying toward a moth hears an echo that is higher in frequency than its call. What does this tell the bat?

Challenge

1

A bat flying at 5.0 m/s toward a wall emits a call and hears the echo 0.10 s later (v = 343 m/s). How far was the wall when the call was made?

2

A dolphin's click has a wavelength of 1.5 cm in sea water (1530 m/s). What frequency is it? Would a human hear this click in air at the same frequency?

3

A blue whale call at 17 Hz travels 500 km through the ocean (v = 1500 m/s). How long does it take, and what is its wavelength? Why might ship noise in the same frequency range be a problem for whales?

Check your understanding

Quiz

1.

Bats that hunt small insects mostly use…

2.

An echo returns 0.050 s after a call in 20 °C air. The object is about…

3.

Why do low-frequency sounds travel farther than high-frequency sounds?

4.

Which animal is known for using infrasonic rumbles?

5.

A diagnostic medical sonographer…

6.

Reginald Fessenden showed in 1914 that his underwater sound device could…

For parents and teachers

Big idea: expectation E3.6 asks students to explain natural phenomena, such as echolocation and animals' infrasonic or ultrasonic hearing, using wave properties. The lesson also covers careers (A2.1) and a Canadian contributor (A2.2).

How to help: The seated echolocation game is surprisingly fun. On a summer evening, watch for bats near water and talk about how they find food. Ask your teen which career in this lesson interests them most and what training it needs.

Common difficulties:

  • Forgetting to halve the round-trip time.
  • Mixing up infrasonic (below 20 Hz) and ultrasonic (above 20 kHz).
  • Not connecting frequency to wavelength: always compute λ = v/f and compare it with the target size.