← Going Further 6–8

Why Can You Hear Through a Wall but Not See Through It?

Topic 10 · Grades 6–8 · Reflection, absorption and transmission of waves

What this builds on from class
In this unit 9 sections
  1. A wave meets a wall
  2. Same wall, different waves
  3. Why light can’t get through a brick
  4. Light bends when it goes in
  5. How sound gets through a wall
  6. Why light needs no medium
  7. Investigate at home
  8. Questions
  9. Where to go next

It is a wedding night in Bhaktapur. Next door, the band is playing and the loudspeakers are booming. You shut your window and your door. You can still hear the drum: dhum, dhum, dhum, right through the brick wall. But you can’t see a single light of the party, and you can hardly make out the singer’s words.

Light and sound are both waves. Both carry energy from one place to another. So why does the same wall stop one and let the other through? And why does the drum get through better than the singer? In this topic you will build one simple model that explains it, and use it for light, sound, colors, mirrors, a microwave oven and your phone.

A wave meets a wall

When a wave reaches the edge of a material, three things can happen to it. You met them for light in Grade 8 Grade 8: Light: some light is reflected, some absorbed, some passed through. The same three are true of every wave.

  • Reflected: the wave bounces back off the surface, like a ball off a wall. An echo is reflected sound; your face in a mirror is reflected light.
  • Absorbed: the wave goes into the material and its energy stays there, mostly as heat. A black pot on a fire absorbs light and warms up.
  • Transmitted: the wave passes through and carries on out the other side. Light through a window is transmitted.

Usually all three happen at once, in different amounts. And because energy can’t appear or disappear, the three always add up to all the energy that arrived:

energy arriving = energy reflected + energy absorbed + energy transmitted

This is our model: a simple picture of what happens, which lets us explain and predict. Figure 10.1 shows it for two real cases.

Light meets a window paneSound meets a brick walllight in: all of itreflected: about 8 %through: about 90 %absorbed: about 2 %(warms the glass a little)sound in: all of itreflected: about 97 %absorbed:about 3 %through: about1 part in 100,000(too thin to draw)
Figure 10.1 The model: where a wave’s energy goes when it meets a material. The width of each arrow shows its share of the energy. Left: light on a 4 mm window pane. Right: the sound of talking on a half-brick wall: almost all bounces back, and the part that gets through is too thin to draw. (The two panels aren’t drawn to the same scale.)

A wave arrives at a sheet of material. 70 % of its energy is reflected and none gets through. What happens to the rest?

Pick an answer to see why.

Same wall, different waves

Here is the most important part of the model. What a material does to a wave depends on the material, and on the kind of wave. A material can be clear for one wave and a solid wall for another.

You already know a material that does this. Your phone works inside a brick house. The phone talks to the tower with radio waves, which are electromagnetic waves like light Grade 9: Electromagnetic spectrum. They pass through the brick wall that stops light completely, weakened but not stopped. So a brick wall is “transparent”, at least partly, to the waves your phone uses.

Material Visible light Radio waves (phone, Wi-Fi) Sound
window glass mostly through mostly through mostly reflected; some through
brick wall reflected and absorbed; none through weakened, but enough gets through almost all reflected; a tiny part through
metal sheet, foil reflected reflected mostly reflected; some through
your hand red light a little way through; the rest absorbed or reflected partly through, partly absorbed partly through

Glass is another example. It lets through visible light, but not all the waves near it:

  • Ultraviolet: ordinary window glass absorbs almost all of the ultraviolet that causes sunburn (UVB). So you hardly ever get sunburnt through a closed window, though glass lets through some of the longer ultraviolet Grade 9: Ultraviolet rays.
  • Infrared: glass absorbs the long infrared that warm things give out. A thermal camera, which sees this infrared, can’t see through a window at all. To it the glass is a solid sheet, which shows only its own warmth and, like a dim mirror, a faint reflection of you.
  • X-rays pass through skin and muscle easily, but much more of them is absorbed by bone. That is how an X-ray photo shows your bones Grade 9: X-ray imaging.

What makes a wave different from another of the same kind? Its frequency (how many times it vibrates each second) and so its wavelength. Radio waves, light and X-rays are the same kind of wave with very different frequencies. Deep and high sounds are the same kind of wave with different frequencies too. So the full model says: what a material does to a wave depends on the material and on the wave’s frequency.

Your phone gets a signal inside a brick house, but you can’t see through the walls. Why?

Pick an answer to see why.

Why light can’t get through a brick

Everything is made of tiny particles: atoms, and molecules made of atoms. When light enters a material, it meets these particles. In many materials, like brick, wood and your skin, the particles take in the light’s energy. The light is absorbed, and its energy becomes heat. In brick this happens in a very thin layer, less than a millimeter deep. Not a trace of light reaches the far side of a wall.

Some of the light that arrives is reflected instead, scattered in every direction off the rough surface Grade 8: Light. That is the light you see the wall by. A dark wall absorbs most of it; a white wall reflects most of it. You saw this in Grade 8: black things absorb and get hot, white and shiny things reflect Grade 8: The color of an object and radiation.

Glass and water are different. Their particles can’t take in the energy of visible light, so the light passes them by. That is what makes them transparent. But glass’s particles can take in ultraviolet and long infrared, which is why glass stops those.

Colored glass

A piece of red glass, or red cellophane, is clear to red light but not to other colors. White light is all the colors mixed together. The red glass absorbs the blue, green and yellow parts, and transmits only the red. So the light that comes out is red. A filter is a sheet that lets some colors through and absorbs the rest.

Light through colored filters

Shine white light from a torch through one colored filter, then two. The strips show which colors are left in the light after each filter. Which pair makes a shadow?

torchfilter 1filter 2wallfrom the torchafter filter 1after filter 2violet, bluegreenorange, red
Filter 1:
Filter 2:
Reaches the wall
red light

Each filter lets its own colors through and absorbs the rest. What reaches the wall is only the colors that every filter lets through.

A filter doesn’t add color to light. It only takes colors away. A red filter followed by a green one lets through nothing, because the green filter absorbs all the red light that the red filter let through. A yellow filter lets through red and green light (together they look yellow), so a yellow filter followed by a red one still lets red light through.

You look at a white sheet of paper through a green filter. What color does it look?

Pick an answer to see why.

Light bends when it goes in

In Grades 6 to 8 you met light that is reflected and absorbed. There is one more thing that happens when light is transmitted from one material into another: it bends.

Put a pencil in a glass of water and look from the side. The pencil seems broken at the surface. Light from the part under water bends as it comes out of the water into the air, so it reaches your eye from a different direction.

Why does light bend? Light travels at different speeds in different materials: about 300,000 km every second in air, about 225,000 km/s in water and about 200,000 km/s in glass. When a beam enters water at a slant, one side of the beam reaches the water first and slows down first, while the other side is still in the faster air. So the beam swings round, like a row of marching students when one end of the row walks onto soft sand first. This bending of light as it passes from one material into another is called refraction. You will study it fully in Grade 10 Grade 10: Refraction of light.

At the surface, not all the light goes in. Some is reflected. How much depends on the angle.

Light at the surface of water

A torch shines on a pond. Change the angle of the torch, and watch how much light bounces off and how much goes in and bends. The width of each beam shows its share of the light.

airWaterstraight downbounces offgoes in
Bounces off
2.4 %
Goes in
97.6 %
Angle inside, from straight down
29°

Some light bounces off; most goes in, and bends towards the line straight down.

Shining nearly straight down, only about 2 % of the light is reflected by water, and 4 % by glass. The rest goes in, and bends only a little. But when the beam only skims the surface, much more is reflected, and what goes in bends a lot.

That is why a lake looks like a mirror when you look across it. Light from the far shore and the sky reaches the far water at a low angle, so a large part of it is reflected towards you. Look straight down into the same lake from a boat, and little is reflected: you see into the water, and in a clear lake, down to the bottom.

A wide lake with small ripples, hills and a snowy peak behind; the water near the camera is dark, the far water reflects the hills and the pale sky
Figure 10.2 Phewa Lake, Pokhara, seen from a boat. The water near the boat, seen steeply, looks dark: most of the light goes into it. The far water, seen at a low angle, works like a mirror: you see the hills and the pale sky reflected in it. Photo: Gaurav Dhwaj Khadka, CC BY-SA 4.0

A torch shines on a still pond. In which case does the most light bounce off the water?

Pick an answer to see why.

How sound gets through a wall

Now for sound. You learned in Grade 8 that sound travels as a wave in a material: each particle pushes the next one Grade 8: How sound travels. In Grade 9 you heard a fingernail scratch through a table: sound travels very well inside a solid Grade 9: Mechanical waves. The hard part is getting from the air into the wall, and out again.

Here is what happens. The sound in your neighbor’s room pushes and pulls on the wall, many times a second. The wall is heavy and stiff, so it hardly moves: most of the sound bounces back into their room. That is the reflection you met as echoes in Grade 9 Grade 9: Reflection of sound. But the wall does move, a tiny amount, far less than the width of a hair. As it shakes, its other face pushes and pulls on the air in your room, and that makes a new, much weaker sound wave on your side. So sound gets through a wall by shaking it.

Two things decide how much the wall shakes:

  • How heavy the wall is. A heavier wall is harder to shake, so less sound gets through. This is why a brick wall stops more sound than a wooden door, and a thick wall more than a thin one.
  • The pitch of the sound. A low, deep sound pushes the wall slowly. Each push lasts long enough to get the heavy wall moving. A high sound changes direction so fast that the wall hardly has time to move before the push reverses. So low sounds get through far better than high ones.

That is the drum and the singer. The drum’s boom is low, and gets through. The words of a song are carried mostly by higher sounds, and they are stopped. A simple rule describes both: double the weight of the wall, or double the frequency of the sound, and only about a quarter as much sound energy gets through.

Sound through a wall

Choose a wall, then change the pitch of the sound. How much of the sound’s energy gets through? The drawing is to scale: the thickness of the wall, and the length of the sound wave in air.

loudspeakerHalf brickmost bounces backthe wave here:1/220 as tallyou1 m
Sound energy that gets through
about 1 part in 50,000
Quieter on your side by
47 dB

Most of the sound bounces back off the wall, and a little gets through. Try a lower pitch, or a heavier wall.

The numbers come from the simple rule above, which engineers call the mass law. Real walls let through a little more, because of their stiffness, and because sound sneaks through any gap, under the door or round a window frame. But the pattern is right: heavier walls and higher pitches let less through.

How can 1 part in 100,000 still be heard? Because your ears are amazing. You learned in Grade 8 that each 10 dB means ten times the sound energy Grade 8: Intensity of sound. Your ears hear sounds from 0 dB up to about 120 dB: the loudest sound you can stand has a million million times the energy of the faintest you can hear. A wall that lets through 1 part in 100,000 makes a sound 50 dB quieter. Music at 90 dB next door reaches you at about 40 dB: as loud as a quiet library, and easy to hear at night.

You can hear the boom of the drum through the wall, but not the singer’s words. Why?

Pick an answer to see why.

Soft things absorb sound

So far the wall has mostly reflected the sound. Soft, porous things, like curtains, carpets, cushions, foam and clothes, are different: they absorb sound. The air pushes into their tiny holes and fibers, rubs against them, and the sound’s energy becomes a little heat. That is why an empty room with bare walls echoes, but the same room full of furniture and people doesn’t Grade 9: Acoustic protection.

But a curtain is light and full of holes, so it lets plenty of sound through as well. To keep sound out, you need something heavy and airtight, like a wall. To stop sound echoing inside a room, you need something soft. The two jobs need different materials.

An old black-and-white portrait photograph of a seated man in a dark suit
Figure 10.3 Wallace Sabine (1868–1919), who started the science of sound in buildings. Photo: photographer unknown, from Sabine’s Collected Papers on Acoustics (1922), Public domain

Why light needs no medium

Here is the last puzzle. Sound needs a material, such as air, water or a wall, to travel. Light doesn’t: sunlight crosses 150 million kilometers of empty space Grade 8: Mechanical and electromagnetic waves. Why the difference?

A sound wave is particles pushing their neighbors. Where there are no particles, there is nothing to push, and sound can’t go on.

A light wave is something quite different. It isn’t particles moving. It is a ripple in electric and magnetic fields. You met fields in How Can Something Push Without Touching?: the space round a magnet or a charge, where it pushes and pulls on other things. A magnet pulls a pin across empty space, with nothing in between. Fields don’t need any material: they can fill empty space.

In a light wave, the electric field gets stronger and weaker, and points one way, then the other, over and over. A changing electric field makes a magnetic field, and a changing magnetic field makes an electric field. So each part of the wave makes the next, and the ripple carries itself along, with nothing to push. That is why light is called an electromagnetic wave, and why it can cross empty space.

empty space: no particlesSounddrumair particles bunch up and spread outnothing to push:the sound can’t go onLightlampelectric field rises and falls; no particles neededlight carries on
Figure 10.4 Two kinds of wave. Top: sound is air particles pushing their neighbors, bunched together in some places and spread out in others. Where the particles end, the sound can’t go on. Bottom: light is a ripple in the electric field (drawn as arrows; a magnetic field, at right angles to it, isn’t drawn). It needs no particles, so it carries on across empty space. Not to scale: a drum’s sound waves are about a meter long, and light’s are less than a thousandth of a millimeter.

Why can light cross empty space, while sound can’t?

Pick an answer to see why.

For the deeper story, how scientists worked out that light is an electromagnetic wave, and why it also behaves like a stream of particles, go further still to Is Light a Wave or a Stream of Particles? in Going Further 9–12. It also explains the other reason you can hear round a corner but not see round it: sound waves spread out round edges far more than light.

Investigate at home

Questions

A sheet of tinted glass absorbs 30 % of the light that reaches it and reflects 8 %. What share of the light gets through?

Pick an answer to see why.

Which pair of filters lets no light through?

Pick an answer to see why.

Why do sound engineers line a recording studio with foam, but build its walls of heavy concrete?

Pick an answer to see why.

a.

Draw a model of a wave meeting a material, like Figure 10.1, for each of these. Show the arrows for reflected, absorbed and transmitted waves, thick for a large share and thin for a small one, and say what happens to the absorbed energy.

  • i.Sunlight falling on a black tin roof.
  • ii.Sunlight falling on a mirror.
  • iii.A shout reaching a thick curtain.
Answer
  • i.Thick arrow absorbed, thin arrow reflected (the roof looks dark, so it reflects little), no arrow through: the tin is opaque. The absorbed energy heats the roof.
  • ii.Thick arrow reflected, all in one direction (regular reflection), thin arrow absorbed, none through. The mirror warms very slightly.
  • iii.A fairly thick arrow absorbed (the curtain is soft and porous), a medium arrow transmitted (it is light and full of holes, so a lot gets through), and a thin arrow reflected. The absorbed energy becomes a tiny amount of heat in the cloth.
b.

A student says: “Glass is transparent, so it lets every kind of wave through.” Give two pieces of evidence from this topic that show she is wrong, and say what is right instead.

Answer

Any two of: ordinary window glass absorbs almost all of the ultraviolet that causes sunburn (UVB); a thermal camera can’t see through a window, because glass absorbs long infrared; glass reflects about 4 % of light at each surface, more at low angles; a glass window reflects most of the sound that reaches it. What is right: a material can transmit one wave and absorb or reflect another. Glass is transparent to visible light, but not to everything. What it does depends on the kind of wave and its frequency.

c.

By the mass law, a full brick wall lets through about 1 part in 800,000 of the energy of a 500 Hz note.

  • i.Using the rule in this topic, about how much gets through at 1,000 Hz? At 250 Hz?
  • ii.Use your answer to explain why music from a neighbor’s room sounds “boomy”.
Answer
  • i.Twice the frequency, a quarter as much: about 1 part in 3,200,000 (3.2 million) at 1,000 Hz. Half the frequency, four times as much: 1 part in 200,000 at 250 Hz.
  • ii.The low notes of the music (drums, bass) get through the wall much better than the high ones (voices, cymbals). So on your side you hear mostly the low part of the music, which sounds deep and boomy, and the words are lost.
d.

In some cinemas, the walls between two halls are made of two separate brick walls with a gap between them, instead of one wall of the same total weight. Why might two walls work better than one? (Hint: think about what the sound must do to get through.)

Answer

To get through one wall, the sound must shake it, and its far side shakes the air beyond. With two walls, the sound must shake the first wall, which shakes the air in the gap, which must then shake the second wall, which shakes the air in the next hall. At each step most of the sound is reflected and only a small part goes on. So the small part that gets through the first wall is cut down again by the second. (The gap must not be bridged by bricks or ties, or the shaking passes straight across.)

e.

Light from a torch shines on a swimming pool. Use the widget in this topic to answer.

  • i.How does the share of light reflected change as the beam gets closer to skimming the water?
  • ii.A lifeguard on a tall chair looks into the pool, nearly straight down. A swimmer at the far end of the pool looks along the water. Who can see the bottom of the pool more easily? Explain.
Answer
  • i.Straight down, only about 2 % is reflected. The share grows as the beam gets lower, slowly at first and then quickly: about 6 % at 60° from straight down, about 35 % at 80°, and more than half at 85°, when the beam almost skims the surface.
  • ii.The lifeguard. Light from the bottom reaches him nearly straight up through the surface, so almost all of it gets out of the water, and little light from the sky is reflected into his eyes from the surface. The swimmer looks at the water at a low angle, so the surface reflects much of the sky’s light into his eyes, like a mirror, and he sees glare instead of the bottom.
f.

Astronauts on the Moon talked to each other by radio, even when standing side by side. Explain why, using the words “particles” and “field”.

Answer

The Moon has no air, so there are no particles between the astronauts. Sound is particles pushing their neighbors, so it can’t travel from one helmet to the other. Radio waves are electromagnetic waves, ripples in the electric and magnetic field, and a field can exist in empty space. So radio waves can travel from one astronaut’s radio to the other’s, with no air at all.

Where to go next