Sound Waves: Characteristics
and Applications
🔊 detailed handwritten-style notes for quick + deep revision 🎶
📑 Table of Contents
- 1 Production of Sound
- 2 Propagation & Vacuum
- 3 Sound Waves (C & R)
- 4 Longitudinal vs Transverse
- 5 Energy of Sound
- 6 Graph of a Sound Wave
- 7 λ, Frequency & Time Period
- 8 Amplitude, Intensity, Speed
- 9 Pitch, Loudness & Range
- 10 Echo & Reverberation
- 11 Ultrasonic/Infrasonic Uses
- 12 Formula Sheet
- 13 At a Glance
🎻 10.1 Production of Sound
Some metals show sonority — they produce sound when struck (e.g. Taal, bells, cymbals).
Object that produces sound = the source of sound. Sound can be produced by vibrating strings, membranes, air columns and many other objects.
🧪 Rubber Band Activity — key takeaway
- A plucked, vibrating rubber band produces sound.
- Once vibration stops, sound stops too.
- Changing tension (stretch) changes the sound produced.
➡️ Conclusion: Sound is produced only as long as an object vibrates.
🗣️ How humans & animals make sound
In humans, sound is produced by vibration of vocal cords — stretched muscular flaps inside the larynx (voice box) in the throat. The tongue, lips, mouth & nasal cavity help convert this into speech/music.
Some animals (like grasshoppers, crickets) produce sound by rubbing body parts such as wings or legs together.
🔺 Tuning Fork
A tuning fork = U-shaped metal bar (steel/aluminium) with a stem. The two sides of the “U” are prongs, struck on a rubber pad to make them vibrate.
🌬️ 10.2 Propagation of Sound
Sound propagates (travels) through solids, liquids and gases. The material through which sound travels is called a medium.
Proof sound travels through solids
Knock gently on a desk. A friend with their ear on the desk (other ear closed) can hear it clearly — even better than through air. ✅ Sound travels through solids.
Proof sound travels through liquids
Two metal spoons tapped together underwater (without touching the tub) can still be heard. ✅ Sound travels through liquids too.
🔔 10.2.1 Sound needs a medium — Vacuum Bell Jar Experiment
An electric bell rings inside a jar. As air is pumped out (vacuum pump), the sound becomes fainter — near vacuum, almost no sound is heard even though the bell is seen ringing. When air re-enters, sound returns.
💨 10.3 Sound Waves — Compression & Rarefaction
Slinky analogy: Push-pull one end of a stretched slinky quickly. A disturbance (region where turns bunch up / spread out) travels along it — but the marked turn only oscillates back and forth, it does NOT travel with the disturbance.
| Term | Meaning |
|---|---|
| Compression (C) | Region of higher density / pressure than average |
| Rarefaction (R) | Region of lower density / pressure than average |
↔️ Longitudinal vs Transverse Waves
| Longitudinal Wave | Transverse Wave |
|---|---|
| Particles vibrate parallel to propagation direction | Particles vibrate perpendicular to propagation direction |
| Made of compressions & rarefactions | Made of crests & troughs |
| Example: Sound | Example: Light, seismic S-waves |
⚡ 10.4 Energy of Sound Waves
Activity: Stretch a rubber sheet over a bowl, sprinkle grains on it. Produce a loud sound nearby (without touching) — the grains jump! This shows sound carries energy that makes the sheet vibrate.
🎤 Real-life devices
A microphone’s diaphragm vibrates with incoming sound and converts it to an electrical signal. A speaker’s diaphragm/cone does the reverse — vibrating to recreate the sound from an electrical signal.
📈 10.5 Graphical Representation of a Sound Wave
We plot density of medium (y-axis) vs distance (x-axis) at a given instant. Average density is shown as a dashed line.
📏 Wavelength, Frequency & Time Period
| Quantity | Meaning | Symbol | SI Unit |
|---|---|---|---|
| Wavelength | Distance between 2 consecutive crests (or troughs) | λ (lambda) | metre (m) |
| Frequency | No. of density oscillations at a fixed point per unit time | ν (nu) | hertz (Hz) |
| Time Period | Time for ONE complete density oscillation | T | second (s) |
Frequency = oscillations ÷ time = 10 ÷ 2 s = 5 Hz
Time period = 1 ÷ 5 Hz = 0.2 s
Everyday sounds are usually a mixture of many frequencies. Nearly single-frequency sounds come from a tuning fork or a whistle.
📢 Amplitude, Intensity & Speed of Sound
Amplitude
Intensity
Speed of Sound
Speed = distance travelled by a wave point (like a crest) in unit time.
| Medium | Approx. speed of sound (15°C) |
|---|---|
| Solid (Steel) | ≈ 5000 m/s (fastest) |
| Liquid (Water) | ≈ 1500 m/s |
| Gas (Air) | ≈ 340 m/s (slowest) |
Distance = v × t = 340 × 5 = 1700 m ≈ 1.7 km away
👂 Human Perception of Sound
Physical properties (T, λ, ν, amplitude, speed) are measurable. But how we experience sound is subjective — described using pitch and loudness.
| Term | Depends mainly on | Details |
|---|---|---|
| Pitch | Frequency | High frequency = shrill/high pitch (whistle); Low frequency = low pitch (thunder) |
| Loudness | Amplitude | Larger amplitude = louder; decreases with distance from source |
Audible Range
- Infrasound: detected by elephants
- Ultrasound: detected by dogs, cats, bats, dolphins
Ear Anatomy (brief)
Sound → vibrates the eardrum → tiny bones amplify the vibration → cochlea converts it to electrical signals → brain perceives sound. Two ears help the brain pinpoint the sound’s direction using the tiny time gap between the ears.
🎼 Tone, Note, Timbre & Octave
- Tone = single-frequency sound (tuning fork, whistling).
- Musical note = fundamental frequency + overtones (richer sound), e.g. tanpura, singing.
- Timbre = the unique quality that lets us tell apart a flute, tabla, and sitar playing the same note at the same loudness.
- Octave = interval between two notes where one has double the frequency of the other.
Won India’s first Nobel Prize in Science (for the Raman Effect in light). He also made key contributions to acoustics, studying how Indian percussion instruments like the tabla and mridangam produce rich, nuanced sound.
🔁 Reflection of Sound
Sound bounces off solids/liquids — follows the same laws of reflection as light (angle of incidence = angle of reflection; incident ray, reflected ray, normal all lie in the same plane).
10.7.1 Echo
Echoes are stronger from hard, smooth surfaces (reflect well). Soft surfaces (curtains) absorb sound; rough surfaces scatter it — echoes aren’t clear from these.
Distance from wall = (v × t) ÷ 2 = (340 × 0.5) ÷ 2 = 85 m
10.7.2 Reverberation
Auditoriums are designed for a desirable amount of reverberation using sound-absorbing panels, curtains and upholstered chairs — too much reverberation garbles sound.
🦇 Ultrasonic & Infrasonic Waves — Applications
| Type | Frequency |
|---|---|
| Infrasonic waves | < 20 Hz |
| Audible range | 20 Hz – 20 kHz |
| Ultrasonic waves | > 20 kHz |
🦇 Echolocation
Bats emit short bursts of ultrasonic waves; by sensing the echoes reflected from objects/prey, they determine position without seeing. This is called echolocation. Also used by dolphins, whales, and some birds.
🚢 SONAR (SOund NAvigation and Ranging)
Humans use the same principle underwater: ultrasonic waves are sent into water, and reflected waves are analysed to find the distance, direction & speed of objects like submarines or shipwrecks.
Time to reach object = 0.90 ÷ 2 = 0.45 s
Distance = speed × time = 1530 × 0.45 = 688.5 m
🧮 Quick Formula Sheet
🌟 At a Glance — Full Chapter Revision
- Sound is produced by vibrating objects and is a form of energy.
- Sound is a longitudinal mechanical wave — needs a medium, cannot travel in vacuum.
- Sound travels through solids, liquids & gases — fastest in solids, slowest in gases.
- It’s the disturbance (density change) that travels, not the medium’s particles.
- Made of alternating compressions (high density) & rarefactions (low density).
- Wavelength (λ): distance between 2 consecutive crests/troughs.
- Frequency (ν): oscillations per second; Time period (T): time for 1 oscillation; ν = 1/T.
- Amplitude: max. density change → relates to loudness & energy carried.
- Intensity: sound energy per unit area per unit time — decreases with distance.
- Speed of sound: v = λ × ν; depends on medium, temperature & humidity.
- Pitch ~ frequency; Loudness ~ amplitude (but loudness is subjective).
- Audible range: 20 Hz – 20 kHz; below = infrasonic, above = ultrasonic.
- Echo = reflected sound heard separately (gap ≥ 0.1 s); Reverberation = persistence of sound (gap < 0.05 s).
- Echolocation (bats) and SONAR (ships) use reflected ultrasonic waves to locate objects.
