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ESO Y4B · Physics and Chemistry
Energy · Waves: light and sound

Sound

You play music through a speaker and feel the casing vibrate if you put your hand on it. That vibration pushes the air, the air pushes your eardrum, and your brain interprets it as sound. Without air (or some other medium) there would be nothing to push: that is why you cannot hear explosions in space, however much the cinema insists otherwise.

Before you start, make sure you know: Uniform rectilinear motion (2nd ESO)
Before you start, make sure you know: First-degree equations (2nd ESO)

Sound is a longitudinal mechanical wave

You touch the membrane of a speaker or your own vocal cords while you talk and feel a constant tingling in your fingers: how does that physical movement travel through the air to reach another person's ear?

Animation of a longitudinal sound wave: the speaker membrane vibrates and the rows of particles oscillate backwards and forwards without moving along, so that the zones of compressed and rarefied air travel to the right. A particle marked in pink only vibrates around its position. speaker compressed rarefied zones of compressed air and zones of rarefied air
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In a laboratory, an electric bell is suspended inside a glass bell jar, and the air is gradually removed. The figure shows the experimental setup. a) Describe what is…

In a laboratory, an electric bell is suspended inside a glass bell jar, and the air is gradually removed. The figure shows the experimental setup.

air leaves pump bell bell jar
  1. a) Describe what is heard as the air leaves.
  2. b) What does this experiment demonstrate about what sound needs in order to travel?
  3. c) Why do two astronauts on the surface of the Moon talk to each other by radio even when standing next to each other?
Solve
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Sound travels through air as a series of compressed and rarefied regions that move from the source to the ear. The figure shows these regions of compression and…

Sound travels through air as a series of compressed and rarefied regions that move from the source to the ear. The figure shows these regions of compression and rarefaction.

compression rarefaction v
  1. a) Does the air travel from the loudspeaker to your ear, or does it only oscillate around its position?
  2. b) Considering the direction in which the air oscillates relative to the direction in which the wave travels, is sound a transverse or longitudinal wave? Justify your answer.
  3. c) Describe how you would model it using a stretched spring on a table.
Solve

The qualities of sound and how it weakens with distance

Two singers sing the same musical note in unison: you instantly recognise each one's voice and can tell perfectly whether one sings louder or softer. Which physical quantities of the wave account for these different perceptions?

Lower the frequency and the wave becomes lower in pitch; raise the amplitude and the sound would be louder, although the ear does not "see" the wave: this is how the air that reaches your eardrum vibrates.

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On a guitar, the first string (the thinnest) vibrates open at $330\ \text{Hz}$ and the sixth (the thickest) at $82,5\ \text{Hz}$. a) Which of the two strings sounds…

On a guitar, the first string (the thinnest) vibrates open at $330\ \text{Hz}$ and the sixth (the thickest) at $82,5\ \text{Hz}$.

  1. a) Which of the two strings sounds higher-pitched?
  2. b) Which wave quantity determines the pitch (high or low) of a sound?
  3. c) In what unit is this quantity measured?
Solve
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A violin and a flute play the same note, an A at $440\ \text{Hz}$, at the same volume. The figure shows the waveform produced by each instrument. a) Why can we still…

A violin and a flute play the same note, an A at $440\ \text{Hz}$, at the same volume. The figure shows the waveform produced by each instrument.

violin T 440 Hz flute T 440 Hz
  1. a) Why can we still distinguish which instrument is playing?
  2. b) What is this sound quality called? Explain how the waves produced by each instrument differ.
Solve
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At an outdoor concert, the sound next to the loudspeakers is deafening, whereas $100\ \text{m}$ away it is barely bothersome. The figure represents how the wave energy…

At an outdoor concert, the sound next to the loudspeakers is deafening, whereas $100\ \text{m}$ away it is barely bothersome. The figure represents how the wave energy spreads out as it moves away from the loudspeaker.

100 m
  1. a) Which property of the sound wave decreases with distance from the source, and which remains constant?
  2. b) The loudspeaker emits its energy, spreading it over increasingly large spherical surfaces as the wave travels away: using this idea, explain why the volume drops so much with distance.
  3. c) Relate the above to the recommendation not to stand right next to loudspeakers for long periods.
Solve

The speed of sound: media, echoes and sonar

In a distant storm you see the flash of lightning immediately, but the thunder takes several seconds to rumble: at what speed does sound travel through the air, and why does it not travel equally fast in water or in metals?

Comparative bar chart of the speed of sound in three media: air ($340\ \text{m/s}$), water ($1500\ \text{m/s}$) and steel (more than $5000\ \text{m/s}$). air: 340 m/s water: 1500 m/s steel: more than 5000 m/s
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You shout in front of a court wall and hear the echo $0,5\ \text{s}$ later, as shown in the figure. a) Explain the path travelled by the sound from when it left your…

You shout in front of a court wall and hear the echo $0,5\ \text{s}$ later, as shown in the figure.

wall d = ? t = 0,5 s v = 340 m/s
  1. a) Explain the path travelled by the sound from when it left your mouth until you heard it.
  2. b) Calculate how far away the wall is. (Sound travels at $340\ \text{m/s}$.)
Solve
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Sound travels through seawater at around $1500\ \text{m/s}$. Two dolphins are swimming $3\ \text{km}$ apart. a) How long does it take for the sound from one dolphin to…

Sound travels through seawater at around $1500\ \text{m/s}$. Two dolphins are swimming $3\ \text{km}$ apart.

  1. a) How long does it take for the sound from one dolphin to reach the other through the water?
  2. b) How long would it take to cover the same distance through the air? (In air, sound travels at $340\ \text{m/s}$; give the answer to one decimal place.)
  3. c) In which of the two media does sound travel faster?
Solve
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A ship's sonar sends an ultrasound pulse towards the seabed and the echo returns $0,4\ \text{s}$ later, as shown in the figure. Sound travels through water at…

A ship's sonar sends an ultrasound pulse towards the seabed and the echo returns $0,4\ \text{s}$ later, as shown in the figure. Sound travels through water at $1500\ \text{m/s}$.

ship pulse echo seabed h = ? t = 0,4 s v = 1500 m/s
  1. a) What is the depth under the ship?
  2. b) Why does sonar use ultrasound instead of audible sound?
  3. c) If the ship sails to an area where the seabed is at $600\ \text{m}$, how long will it take for the echo to return?
Solve

The human ear, decibels and noise

Diagram of the sound spectrum showing the regions of infrasound (below 20 Hz), the human audible range (from 20 Hz to 20 000 Hz) and ultrasound (above 20 000 Hz). infrasound< 20 Hz audible20 Hz – 20 000 Hz ultrasound> 20 000 Hz 20 Hz 20 000 Hz frequency
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A healthy young human ear perceives sounds between roughly $20\ \text{Hz}$ and $20\,000\ \text{Hz}$. State whether we can hear each of these sounds and name the range to…

A healthy young human ear perceives sounds between roughly $20\ \text{Hz}$ and $20\,000\ \text{Hz}$. State whether we can hear each of these sounds and name the range to which they belong:

  1. a) A sound of $15\ \text{Hz}$.
  2. b) A sound of $440\ \text{Hz}$.
  3. c) A sound of $25\,000\ \text{Hz}$.

What are sounds with frequencies above $20\,000\ \text{Hz}$ called, and which animal uses them to navigate in the dark?

Solve
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In a city, traffic, roadworks, outdoor bar terraces playing music and ambulance sirens coexist. a) Explain what is meant by noise pollution. b) State two effects of…

In a city, traffic, roadworks, outdoor bar terraces playing music and ambulance sirens coexist.

  1. a) Explain what is meant by noise pollution.
  2. b) State two effects of excessive noise on human health.
  3. c) Propose one measure to reduce noise by acting at the source, and another by acting on the medium through which it travels.
Solve
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A family lives in a flat next to a busy avenue and suffers from traffic noise at night as well. a) Propose a measure to reduce noise by acting on the source, another by…

A family lives in a flat next to a busy avenue and suffers from traffic noise at night as well.

  1. a) Propose a measure to reduce noise by acting on the source, another by acting on the medium of propagation, and another on the receiver, justifying each physically.
  2. b) Explain why a double-glazed window with a cavity insulating layer reduces noise better than single glazing.
  3. c) Indoors, thick curtains, carpets and bookshelves filled with books reduce noise: what do these materials do to the sound instead of reflecting it?
Solve

Summary

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