3.4CH3 Waves
Sound — Cambridge O Level Physics 5054 Revision Notes & Topical Questions
10 min read 12 parts Lesson 4 of 4
Part 1 of 10Production and nature of sound
- Source of sound
- sound is produced by a vibrating object, such as a guitar string, a loudspeaker cone or vocal cords.
- Longitudinal wave
- sound is a series of compressions and rarefactions travelling through a medium.
- Particles vibrate parallel to the direction in which the energy moves.
- Medium required
- sound needs a medium of particles and cannot travel through a vacuum.
- A bell ringing inside a jar fades away as the air is pumped out.
- Compressions and rarefactions
- a vibrating source pushes particles together then pulls them apart (lower pressure).
- (higher pressure)
- a vibrating source pushes particles together then pulls them apart (lower pressure).
- Transfer of energy
- the energy passes from particle to particle, but the particles only oscillate about fixed points.
Part 2 of 10Speed of sound in different media
- Speed in air
- about 330 to 350 m/s at room temperature, taken as 340 m/s in most questions.
- Speed depends on the medium
- sound is slowest in gases, faster in liquids and fastest in solids.
- Particles in solids are closer and more strongly linked, so vibrations are passed on faster.
| Medium | Approximate speed (m/s) |
|---|---|
| Air | 340 |
| Water | 1500 |
| Wood | 3000-4000 |
| Steel | 5000 |
- Effect of temperature
- sound is a little faster in warmer air.
- Frequency does not change the speed
- in one medium all frequencies travel at the same speed, so high and low notes arrive together.
- Using the wave equation
- v = fλ also applies to sound, with v being the speed in the medium.
Part 3 of 10Measuring the speed of sound
- Direct timing method
- use an echo or a two-person method over a measured distance.
- Stand a known distance, such as 100 m, from a large wall.
- Make a sharp sound such as a clap or a starting gun.
- Start the stopwatch at the clap and stop it when the echo is heard.
- The sound travels there and back, so v = 2d ÷ t.
- Repeat the measurement several times and take a mean.
- Alternate method with clapping
- adjust the clapping rate to coincide with the echoes and time many claps, which reduces reaction-time error.
- Two microphones and a timer
- place two microphones a known distance apart, connected to an electronic timer.
- Measure the time for the sound pulse to pass from one to the other and calculate v = distance ÷ time.
- Sources of error
- wind, human reaction time and a short distance make the time too small to measure accurately.
Part 4 of 10Pitch, loudness and quality
- Pitch
- how high or low a note sounds, determined by its frequency.
- High frequency gives a high pitch, and low frequency gives a low pitch.
- Loudness
- determined by the amplitude of the wave, with a larger amplitude meaning more energy and a louder sound.
- Quality (timbre)
- the character of a note, determined by the shape of the waveform, so a violin and a flute differ at the same pitch and loudness.
| Property of sound | Wave feature | Graph on an oscilloscope |
|---|---|---|
| Pitch | Frequency | More waves across the screen |
| Loudness | Amplitude | Greater height |
| Quality | Wave shape | Different pattern |
- Oscilloscope trace
- a microphone connected to a cathode-ray oscilloscope shows the waveform of the sound,
- and the period read from the time base gives f = 1 ÷ T.
- If one wave takes 5.0 ms on the screen, f = 1 ÷ 0.0050 = 200 Hz.
- Range of human hearing
- about 20 Hz to 20 000 Hz, and the range narrows with age.
- Infrasound and ultrasound
- frequencies below 20 Hz are infrasound and above 20 000 Hz are ultrasound.
Part 5 of 10Reflection and echoes
- Reflection
- hard, smooth surfaces reflect sound well, and soft, rough surfaces absorb it.
- Echo
- a reflection of sound heard after the original sound.
- An echo is noticeable if the surface is at least 17 m away, so the delay exceeds about 0.1 s.
- Calculating distance
- the sound travels to the reflector and back, so the distance to the reflector is d = vt ÷ 2.
- Reverberation
- the many overlapping echoes in a large hall; soft furnishings and acoustic tiles reduce it.
- Sonar
- ships send out sound pulses and time the echoes from the sea bed or fish shoals.
- With v = 1500 m/s in water, an echo returning after 0.20 s means a depth of 150 m.
Part 6 of 10Ultrasound and its uses
- Ultrasound
- sound with a frequency above the upper limit of human hearing, above 20 kHz.
- Medical imaging
- pulses of ultrasound are reflected at boundaries between tissues and the echo times build up an image of a fetus or organs.
- It is safe because it is non-ionising.
- Cleaning
- ultrasonic baths shake dirt from delicate objects such as jewellery and surgical instruments.
- Industrial uses
- ultrasonic detectors find cracks in metal, and pulse echo measures the thickness of materials.
- Animals
- bats, dolphins and some other animals use ultrasound echoes to navigate and find prey.
- Why ultrasound is useful
- it has a short wavelength and so can be directed in narrow beams and can detect small features.
Part 7 of 10Everyday sound ideas
- Hearing
- sound waves enter the ear, vibrate the eardrum, and the vibrations are passed through bones to the cochlea and then as signals to the brain.
- Loud sounds
- noise above about 85 dB can damage hearing, so ear protection is needed in noisy workplaces.
- Reducing noise
- absorb it with soft materials, increase the distance, or isolate the source with double glazing.
- Musical instruments
- the pitch of a string depends on its length, tension and thickness, and a shorter, tighter, thinner string gives a higher pitch.
Part 8 of 10Sound in practice
- Sound intensity and distance
- a sound gets quieter with distance because its energy spreads out over a larger area.
- Doubling the distance from a small source greatly reduces the loudness.
- Beats and tuning
- two close frequencies together produce a regular rise and fall in loudness, which musicians use to tune instruments.
- Resonance
- an object vibrates strongly when driven at its natural frequency.
- A singer can break a glass by sounding a note at the glass's natural frequency.
- Absorbing sound
- soft, porous materials such as carpets, foam and curtains absorb sound, while hard surfaces reflect it.
- Sound and hearing damage
- very loud sound can harm the ear because the large amplitude damages the delicate cells.
- Hearing protection reduces the amplitude that reaches the eardrum.
Part 9 of 10Experiments with sound
- Sound cannot travel through a vacuum
- a bell in a bell jar shows it.
- Suspend an electric bell inside a sealed bell jar on a foam pad.
- Switch on the bell and listen to the clear ringing.
- Pump air out of the jar with a vacuum pump.
- The sound becomes fainter until it can hardly be heard, although the clapper can still be seen moving.
- Let air back in and the sound returns.
- Reflection of sound
- it reflects from hard, smooth surfaces such as a wall or board.
- Place a ticking clock at the end of a long tube, with another tube and a hard board angled the same way on the other side of the normal,
- and the sound is loudest when the angle between the tubes and board follows the law of reflection.
- Soft materials such as cloth placed in the path absorb the sound and the reflected note becomes quieter.
- Comparing speeds
- sound travels fastest in solids, slower in liquids and slowest in gases.
- This is why you can hear an approaching train through the rail before you hear it through the air.
- Timbre on an oscilloscope
- two instruments playing the same note give waves of the same frequency and amplitude,
- but different shapes,
- which gives them different qualities.
- A tuning fork gives a smooth sine wave and a violin gives a more complex pattern.
Part 10 of 10Worked examples
A man claps his hands and hears an echo from a cliff 1.2 s later. Calculate the distance to the cliff (speed of sound 340 m/s). [3]3 marks
- Distance there and back = vt = 340 × 1.2 = 408 m.
- Distance to the cliff = 408 ÷ 2.
- d = 204 m.
A note has a frequency of 680 Hz. Calculate its wavelength in air (v = 340 m/s). [2]2 marks
- λ = v ÷ f = 340 ÷ 680.
- λ = 0.50 m.
An oscilloscope shows one complete wave of a sound over 4.0 ms. Calculate the frequency and say whether it is audible. [3]3 marks
- T = 4.0 ms = 0.0040 s.
- f = 1 ÷ T = 250 Hz.What the symbols mean: T = period, the time for one complete wave (s) · f = frequency (Hz)
- It is between 20 Hz and 20 000 Hz, so it is audible.
A ship's sonar sends a pulse and receives the echo from the sea bed after 0.80 s. Sound travels at 1500 m/s in water. Find the depth. [3]3 marks
- Total distance = 1500 × 0.80 = 1200 m.
- Depth = 1200 ÷ 2 = 600 m.
Describe how the sound on an oscilloscope changes when a note becomes louder and higher pitched. [3]3 marks
- Louder means a larger amplitude, so the trace is taller.
- Higher pitch means a higher frequency.
- So more waves appear across the screen for the same time base.
A student stands 85 m from a wall and claps repeatedly until the claps match the echoes, and counts 30 claps in 15 s. Find the speed of sound. [4]4 marks
- Time between claps = 15 ÷ 30 = 0.50 s, which is the time for the sound to go to the wall and back.
- Total distance = 2 × 85 = 170 m.
- Speed = 170 ÷ 0.50 = 340 m/s.
Key terms
| Term | Meaning |
|---|---|
| Sound wave | A longitudinal wave of compressions and rarefactions in a material. |
| Pitch | How high or low a note sounds, set by its frequency. |
| Loudness | How strong a sound seems, set by its amplitude. |
| Echo | A reflected sound heard after the original sound. |
| Ultrasound | Sound with a frequency above 20 000 Hz. |
| Infrasound | Sound with a frequency below 20 Hz. |
| Sonar | Using echoes of sound pulses to find distance or depth. |
Avoid these mistakes
- Saying sound travels in a vacuum — it needs a medium.
- Thinking sound is faster in air than in solids — it is fastest in solids.
- Using the full echo distance as the distance to the wall — halve it because the sound travels there and back.
- Mixing up pitch and loudness — pitch is frequency and loudness is amplitude.
- Saying a higher pitch travels faster — all frequencies have the same speed in one medium.
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