Sound Waves: Characteristics and Applications Class 9 Notes and Numericals
Updated 15 October 2026 · Fact-checked
Sound Waves: Characteristics and Applications in Class 9 explains that sound is made by vibrations and travels as a longitudinal wave of compressions and rarefactions through a medium, never through vacuum. You learn wavelength, frequency, time period, amplitude, intensity and speed ($v = \lambda \nu$), pitch and loudness, echo and reverberation, and uses of ultrasound and echolocation.
What Sound Waves: Characteristics and Applications is about
This is Chapter 10 of the NCERT book *Exploration* and part of CBSE's Unit III, Motion, Force, Work and Sound. It opens with two puzzles: can astronauts on a spacewalk hear each other, and how do bats find insects in the dark?
The chapter covers:
- Production: sound comes from vibrating objects (rubber band, tuning fork, vocal cords, air in a flute).
- Propagation: sound needs a medium (solid, liquid or gas); the bell-jar experiment shows it cannot travel through vacuum.
- Sound waves: alternate compressions and rarefactions; particles only vibrate about their mean positions; sound is a longitudinal mechanical wave. Transverse waves for comparison.
- Energy: sound carries energy (grains jumping on a stretched sheet); microphones and speakers.
- Graph: density against distance, with crests and troughs.
- Characteristics: wavelength , frequency (Hz), time period , amplitude, intensity, speed ; speed in solids > liquids > gases.
- Perception: pitch (frequency), loudness (amplitude), audible range 20 Hz to 20 kHz, infrasound and ultrasound, noise and hearing.
- Reflection: echo (at least 0.1 s gap, at least 17 m away), reverberation, and echolocation and sonar.
Expect numericals on , , echo and sonar distances, graph-drawing questions, and reasoning about the medium.
Weightage: This chapter is part of Unit III, Motion, Force, Work and Sound, which carries 23 of the 80 theory marks in the school annual exam, shared with Describing Motion Around Us, How Forces Affect Motion, Work, Energy and and Simple Machines.Source: CBSE Science (086) syllabus, Class IX 2026-27, course structure, Unit III Motion, Force, Work and Sound
Key concepts
- Production of sound by vibration
- NCERT section 10.1 Production of Sound
Activity 10.1: a rubber band stretched over an open box makes sound only while it vibrates; when the vibration stops, the sound stops. Tightening it changes the sound.
Sound is produced by vibrating objects. A vibration is a repeated to-and-fro motion (oscillation). The object making the sound is the source.
- Strings (sitar, veena), membranes (tabla, dholak), air columns (bansuri), metal (bells, the *taal*, which shows sonority).
- Humans: the vocal cords in the larynx (voice box) vibrate; the tongue, lips, mouth and nose shape the sound into speech. Touch your throat while speaking and you feel the vibration.
- Insects: crickets and grasshoppers rub wings or legs.
Tuning fork (Activity 10.2): a U-shaped steel or aluminium bar with prongs and a stem. Struck on a rubber pad (never a hard surface), it hums; touching a prong to water makes ripples, proving the prongs vibrate. It gives an almost single-frequency sound.
In Kongthong, Meghalaya, each person has a whistled 'tune name' (*Jingrwai Iawbei*).
Worked example
A vibrating tuning fork that is too faint to see moving is touched to the surface of water in a bowl. What do you observe, and what does it prove? Why should you not strike it on a stone floor?
Try it first, then show the solutionSolution
- Water splashes and ripples spread from the prong.
- This shows the prongs are vibrating, so sound is produced by vibration.
- Striking a hard surface can damage the prongs and change the frequency, and makes unwanted extra sounds.
Answer: Ripples form, proving the prongs vibrate; a rubber pad protects the fork and gives a clean note.
- Sound needs a medium
- NCERT section 10.2 Propagation of Sound
Activity 10.3: with your ear on a desk, you hear a friend's faint scratch clearly: sound travels through solids. Activity 10.4: spoons tapped under water can be heard: sound travels through liquids.
The material that carries sound is the medium (solid, liquid or gas). A space with no matter is a vacuum.
Bell-jar experiment: an electric bell rings inside a glass jar. As a vacuum pump removes the air, the sound gets fainter until almost nothing is heard, though the bell is still seen ringing. Letting air back in brings the sound back.
Conclusion: sound cannot travel through vacuum.
- Space is nearly a vacuum, so astronauts on a spacewalk cannot hear each other directly or hear metal clanking; they use radio sets in their suits.
- A movie showing a loud bang when a spacecraft explodes in space is wrong (the flash of light is fine, as light needs no medium).
Worked example
In the bell-jar experiment, why does the sound not become completely silent even when the pump runs for a long time? Why can we still see the bell?
Try it first, then show the solutionSolution
- A school pump cannot remove all the air; a little remains, and the bell's support also touches the jar, so a faint sound still travels.
- Light does not need a medium, so we see the bell through the near-vacuum.
Answer: Some air and the solid support still carry faint sound; light needs no medium.
- Sound as a longitudinal wave: compressions and rarefactions
- NCERT section 10.3 Sound Waves
Slinky (Activity 10.5): push and pull one end: regions where turns are close together and regions where they are spread out travel along the slinky. A marked turn only moves back and forth about its place.
Air in a tube with an oscillating piston:
- Piston moves forward → pushes air together → compression (C), a region of higher density (and pressure).
- Piston moves back → air spreads out → rarefaction (R), a region of lower density.
- Collisions pass these on, so a series of C and R travels away from the source.
A sound wave is a series of compressions and rarefactions moving through a medium without the medium itself flowing. The particles only vibrate about their mean positions; it is energy that travels. From a small source, sound spreads in all directions as spherical waves.
Types of waves:
- Longitudinal: particles vibrate parallel to the direction the wave travels (sound).
- Transverse: particles vibrate perpendicular to the direction of travel (ripples on water, a shaken rope; light is a transverse wave that needs no medium).
- Mechanical waves need a medium; sound is one.
Sudden loud sounds (crackers, thunder) come from air heated and expanding very fast; a supersonic aircraft makes a sonic boom.
Worked example
Assertion: compressions and rarefactions move through the air from a speaker to your ear. A student says this means air from the speaker reaches your ear. Correct the student.
Try it first, then show the solutionSolution
- Each air particle only vibrates back and forth about its own mean position.
- It bumps its neighbour, passing on the compression or rarefaction.
- So the disturbance and its energy travel to your ear, not the air particles near the speaker.
Answer: The pattern of density and the energy travel; the air particles do not move along with the wave.
- Sound carries energy; graph of a sound wave
- NCERT section 10.5 Graphical Representation of a Sound Wave
Activity 10.6: grains sprinkled on a rubber sheet stretched over a bowl jump when a loud sound is made nearby, without touching the bowl. Louder sound makes them jump higher. So sound is a form of energy: the vibrating source passes energy to the medium, and particles pass it on by collisions.
- A microphone turns sound energy into an electrical signal (sound vibrates a thin diaphragm).
- A speaker does the reverse: an electrical signal vibrates a cone, which makes sound.
Graph of a sound wave: plot density of the medium (y-axis) against distance from the source (x-axis) at one instant. The curve goes above the average density (dashed line) at compressions and below it at rarefactions.
- Highest point (maximum density, centre of a compression): crest.
- Lowest point (minimum density, centre of a rarefaction): trough.
One can also plot density against time at a fixed place.
Worked example
Describe a density-distance graph for a sound wave of wavelength 6 cm and density amplitude 2 units, starting at average density at 0 cm and rising. Where are the first two crests and troughs?
Try it first, then show the solutionSolution
- Draw a dashed horizontal line for average density; mark distance in cm on the x-axis.
- Draw a smooth wave rising 2 units above and falling 2 units below the line, repeating every 6 cm.
- A crest comes a quarter wavelength (1.5 cm) after the start, a trough half a wavelength later: crests at 1.5 and 7.5 cm, troughs at 4.5 and 10.5 cm.
Answer: A wave 2 units either side of average; crests at 1.5 and 7.5 cm, troughs at 4.5 and 10.5 cm (6 cm apart).
- Wavelength, frequency and time period
- NCERT section 10.6 Characteristics of a Sound Wave
- Wavelength (λ): distance between two consecutive crests (or two consecutive troughs), i.e. one compression + one rarefaction. SI unit: metre.
- One oscillation: at a fixed point, density goes from maximum to minimum and back to maximum.
- Frequency (ν): number of oscillations per second at a fixed point. SI unit: hertz (Hz) = s.
- Time period (T): time for one complete oscillation. SI unit: second.
A higher frequency means a shorter time period.
Activity 10.7: an app such as Phyphox shows the frequency of sung notes Sa, Re, Ga, Ma, Pa, Dha, Ni, Sa rising step by step. Thinner or tighter rubber bands vibrate faster and give a higher frequency.
Most everyday sounds mix many frequencies; a tuning fork or whistle gives almost one frequency (a tone). A musical note has a lowest frequency (fundamental) plus overtones; their pattern gives each instrument its timbre (why a flute and a tabla sound different at the same pitch and loudness). An octave is a doubling of frequency.
Worked example
At a point, 30 density oscillations occur in 3 s. Find the frequency and time period. How many oscillations would a 25 Hz source complete in one minute?
Try it first, then show the solutionSolution
- Hz.
- s.
- In 60 s at 25 Hz: oscillations.
Answer: 10 Hz, 0.1 s; 1500 oscillations.
- Amplitude, intensity and speed of sound
- NCERT section 10.6 Characteristics of a Sound Wave
Amplitude: the largest change in density (in a compression or rarefaction) from the average density. A larger amplitude carries more energy (grains jump higher when the plate is struck harder).
Intensity: the sound energy passing through unit area (held perpendicular to the direction of travel) in unit time. As sound spreads over a bigger area away from the source, intensity decreases with distance.
Speed (v): distance a crest moves per second. In one time period the wave moves one wavelength:
(speed = wavelength × frequency)
Medium (at 15 °C) Approximate speed Steel 5000 m s Water 1500 m s Air 340 m s - Fastest in solids, then liquids, slowest in gases (about 4 to 5 times faster in water and 15 to 20 times faster in solids than in air).
- In air, speed rises with temperature and humidity: about 331 m s at 0 °C and 344 m s at 22 °C.
- In a given medium, speed does not depend on frequency; a higher frequency simply has a shorter wavelength.
Lightning and thunder: light arrives almost at once, sound later. Distance = speed of sound × delay.
Worked example
A sound of 680 Hz travels in air at 340 m s. Find its wavelength. If it enters water (1500 m s), what are its frequency and wavelength there?
Try it first, then show the solutionSolution
- m.
- Frequency is set by the source, so it stays 680 Hz in water.
- m.
Answer: 0.5 m in air; 680 Hz and about 2.2 m in water.
- Pitch, loudness and the range of hearing
- NCERT section 10.6 Characteristics of a Sound Wave
Physical properties (frequency, amplitude) can be measured; how we perceive them is personal.
- Pitch: how we perceive frequency. Shrill sounds (whistle, siren, a mosquito) have high pitch (high frequency); deep sounds (thunder, a lion's roar) have low pitch. Boys' voices deepen in adolescence as vocal cords lengthen and thicken and vibrate more slowly.
- Loudness: how we perceive amplitude (and intensity). Larger amplitude sounds louder; loudness falls with distance. Loudness is measured in decibels (dB): rustling leaves a few dB, conversation about 60 dB, crackers over 100 dB.
Audible range: about 20 Hz to 20 000 Hz (20 kHz); it narrows with age.
- Below 20 Hz: infrasonic (elephants hear it; earthquakes and volcanoes produce it).
- Above 20 kHz: ultrasonic (dogs, cats, bats and dolphins hear it).
Noise is unwanted or harmful sound. Long exposure above safe limits harms sleep, health and hearing; hearing is tested with audiograms, and hearing aids (microphone, amplifier, speaker) help.
The ear: sound vibrates the eardrum; tiny bones amplify the vibration; the cochlea turns it into electrical signals for the brain. Two ears let the brain judge direction from the tiny time difference.
Worked example
Using 340 m s, find the wavelengths in air of the lowest and highest frequencies humans can hear.
Try it first, then show the solutionSolution
- 20 Hz: m.
- 20 000 Hz: m cm.
Answer: 17 m and 1.7 cm.
- Reflection of sound: echo and reverberation
- NCERT section 10.7 Reflection of Sound
Sound reflects from solid or liquid surfaces and obeys the same laws as light: the incident and reflected directions make equal angles with the normal, and all three lie in one plane.
Echo: a reflected sound heard separately from the original.
- Our ear keeps a sound for about 0.1 s, so the echo must arrive at least 0.1 s later.
- At 340 m s, sound goes m in 0.1 s: there and back, so the reflector must be at least 17 m away.
- Distance to a reflector (sound goes there and back).
- Hard, smooth surfaces give strong echoes; soft surfaces (curtains) absorb sound; rough ones scatter it.
Reverberation: repeated reflections in a big hall that make sound linger after the source stops; reflections arrive within about 0.05 s of each other and blur together. Too much makes speech unclear. Halls use sound-absorbing panels, upholstered seats, curtains and carpets. Curved ceilings and stage walls direct sound to the audience.
The Whispering Gallery of Gol Gumbaz in Bijapur (Vijayapura), Karnataka, lets a whisper be heard many times across the dome.
Worked example
You clap in front of a cliff and hear the echo after 0.8 s (speed of sound 340 m s). How far away is the cliff? What is the least distance at which you could hear an echo?
Try it first, then show the solutionSolution
- Distance m.
- Least distance m.
Answer: 136 m; 17 m.
- Ultrasound, infrasound, echolocation and sonar
- NCERT section 10.8 Ultrasonic and Infrasonic Waves, and their Applications
Uses of ultrasonic waves (above 20 kHz):
- Ultrasonography: imaging organs and a baby in the womb without surgery.
- Breaking kidney stones into small pieces.
- Cleaning delicate machine parts and ultrasonic welding.
- Finding cracks and defects inside metal blocks.
- Locating objects by reflection.
Uses of infrasonic waves (below 20 Hz): detecting earthquakes, volcanic eruptions and severe storms, because they travel far through air and the ground.
Echolocation: locating objects by reflected sound. Most bats send out short bursts of ultrasound and use the echoes from prey and obstacles; dolphins, whales and some birds do this too.
SONAR (sound navigation and ranging): a ship sends ultrasonic pulses into water and times the echo to find the distance, direction and speed of submarines, shoals of fish, shipwrecks or the sea bed:
Car parking sensors use the same idea in air (about 40 kHz). Audio surveillance detects drones from their low humming. Sir C. V. Raman also studied the acoustics of the tabla and mridangam; the black *syaahi* patch on the drum head gives them their rich tones.
Worked example
A ship's sonar pulse returns from the sea bed after 3 s. If sound travels at 1500 m s in seawater, how deep is the sea there?
Try it first, then show the solutionSolution
- The pulse goes down and comes back, so one-way time s.
- Depth m.
Answer: 2250 m.
Science in real life: Sound Waves: Characteristics and Applications
Each concept, met in an everyday situation. Read the situation, try the problem, then check the solution. The one-line hook is what to remember.
Speed in solids
Suppose you put your ear to a railway line and hear a train's rumble long before you hear it through the air.
Why does the sound come through the rail first?
Try it first, then show the solutionSolution
- Sound travels about 15 times faster in steel than in air.
- So vibrations from the distant train reach your ear through the rail first. (Never actually do this on a working line.)
Answer: Sound is much faster in steel than in air.
Memory hook: Solids shout first.
Lightning distance
Suppose during a storm you count 6 seconds between a lightning flash and the thunder.
How far away is the storm, roughly?
Try it first, then show the solutionSolution
- Distance m.
- About 2 km; if the gap shortens, the storm is coming closer.
Answer: About 2 km away.
Memory hook: Three seconds per kilometre.
Echo
Suppose you shout in a small bathroom and then in a large empty hall.
Why is there no clear echo in the bathroom?
Try it first, then show the solutionSolution
- The walls are only 1 to 2 m away, so reflections return in much less than 0.1 s.
- They mix with the original sound (reverberation) instead of being heard separately.
Answer: The walls are too close; an echo needs a reflector at least about 17 m away.
Memory hook: Seventeen metres for an echo.
Noise and hearing
Suppose you listen to music on earphones at full volume for hours every day.
What could happen and how can you protect your hearing?
Try it first, then show the solutionSolution
- Long exposure to loud sound can damage the inner ear and cause permanent hearing loss.
- Keep the volume moderate, take breaks, and avoid very loud places; get an audiogram if you notice difficulty hearing.
Answer: Risk of hearing loss; keep volume and time limited.
Memory hook: Turn it down, keep your sound.
Topics in this chapter
Sound Waves: Characteristics and Applications: formulas and key facts
- Frequency and time period
- ;
- Wave equation
- Echo or sonar distance
- (t is the time for the round trip)
- Minimum echo distance
- ≈ 17 m in air at 340 m s⁻¹
- Lightning distance
- Speeds of sound
In air about 340 m s⁻¹ (331 at 0 °C, 344 at 22 °C) In water about 1500 m s⁻¹ In steel about 5000 m s⁻¹ - Hearing range
- 20 Hz to 20 kHz; below 20 Hz infrasonic; above 20 kHz ultrasonic.
- Perception
- Pitch ↔ frequency; loudness ↔ amplitude; timbre ↔ pattern of overtones.
- Units
- Wavelength m; frequency Hz (s⁻¹); time period s; speed m s⁻¹; loudness dB.
- Reverberation
- Reflections arriving within about 0.05 s blend; echo needs at least 0.1 s.
Sound Waves: Characteristics and Applications: diagrams to practise
Practise each one on paper: draw it from the checklist, then tick off every label.
Bell-jar experiment (Fig. 10.7)
Draw an experiment to show that sound needs a medium.
Draw
- A glass bell jar on a flat base with an electric bell hanging inside.
- Wires from the bell to a power supply outside.
- A tube from the base to a vacuum pump.
Label
- Bell jar
- Electric bell
- To power supply
- To vacuum pump
Watch out: Write the observation: the sound fades as air is pumped out though the bell is seen ringing.
Compressions and rarefactions (Figs. 10.8, 10.9, 10.12)
Show how sound travels through air as a longitudinal wave.
Draw
- A tube with a piston at one end; dots for air particles.
- Groups of closely packed dots (compressions) alternating with widely spaced dots (rarefactions).
- An arrow along the tube for the direction of travel and a double-headed arrow parallel to it for particle vibration.
Label
- Piston (source)
- Compression (C)
- Rarefaction (R)
- Wavelength λ (C to next C)
- Direction of wave propagation
- Direction of particle vibration
Watch out: Make the vibration arrow parallel to the travel arrow: that is what 'longitudinal' means.
Density-distance graph of a sound wave (Fig. 10.16)
Draw the graph, mark crests, troughs, wavelength and amplitude.
Draw
- Axes: distance on x, density on y; a dashed horizontal line for average density.
- A smooth repeating wave above and below the dashed line.
- Mark one wavelength from crest to crest, and amplitude from the dashed line to a crest.
Label
- Density
- Distance
- Average density
- Crest (compression)
- Trough (rarefaction)
- Wavelength λ
- Amplitude
Watch out: Amplitude is measured from the average line, not from trough to crest.
Sonar and echolocation (Figs. 10.27, 10.28)
Show how a ship finds the depth of the sea or how a bat finds prey.
Draw
- A ship on the sea surface with a transmitter sending downward arrows to the sea bed (or a submarine).
- Return arrows from the sea bed back up to a receiver on the ship.
- For a bat: arcs of ultrasound going to a moth and reflected arcs returning.
Label
- Transmitter
- Ultrasonic waves sent
- Reflected waves
- Receiver
- Sea bed / object
- Depth d
Watch out: Write next to the diagram.
How the school exam asks Sound Waves: Characteristics and Applications
The question patterns to expect, and the method that works for each.
| Question type | How it is asked | Method |
|---|---|---|
| Production and propagation | Bell jar, astronauts, ear on the desk, spoons in water, explosion in a space movie. | Sound needs a medium; light does not; solids and liquids carry sound well. |
| Wave nature | Compressions and rarefactions; longitudinal versus transverse; what reaches the ear (energy, not particles). | Particles vibrate about mean positions; the disturbance and energy travel. |
| Graphs | Mark C and R on a graph; find wavelength or amplitude from a graph; draw a wave of given λ and amplitude; compare two waves. | Read crest-to-crest distance for λ; height from the average line for amplitude; more waves in the same distance means shorter λ, higher ν. |
| Numericals | , , echo and sonar distances, lightning, sound through steel versus air, temperature effect on speed. | Write the formula, convert units (kHz to Hz, cm to m), remember to halve for round trips. |
| Perception and applications | Pitch versus loudness; ranges; uses of ultrasound and infrasound; echo versus reverberation; reducing reverberation. | Link each perception to its physical property; give one clear use per range. |
| Competency | Parking sensors, bats, ultrasonography, designing an auditorium, measuring speed of sound with a balloon. | Identify reflection and timing; explain why we time from 'seeing' (light) to 'hearing'. |
Tricks to remember Sound Waves: Characteristics and Applications
Short memory aids. Say each one aloud once, then use it on a question the same day.
Vacuum is voiceless
No particles, no sound; light still gets through.
Use it when: Medium questions.
Very Lazy Nightingale
v = λ × ν: Velocity = Lambda × Nu.
Use it when: The wave equation.
Echo halves
Sound goes there and back, so halve the time (or the distance).
Use it when: Echo and sonar numericals.
Pitch–frequency, Loud–amplitude
P and F are 'Pitch Follows Frequency'; L and A are 'Loudness Arises from Amplitude'.
Use it when: Perception questions.
Steel, Water, Air: 5000, 1500, 340
Solids are fastest, gases slowest.
Use it when: Speed comparisons.
Sound Waves: Characteristics and Applications: exam-level solved questions
Ordered from exam level to HOTS. Cover the solution, write your own, then compare step by step.
Example 1: Which needs a medium? · 1 mark · MCQExam level
Which of these needs a material medium to travel?
(a) Light from the Sun
(b) Radio signals from a satellite
(c) The sound of a ringing bell
(d) Heat radiation from a fire
Try it first, then show the solutionSolution
- Light, radio and heat radiation can cross the vacuum of space.
- Sound is a mechanical wave and needs particles to pass on the vibration.
Answer: (c)
Example 2: Frequency of a tuning fork · 1 mark · MCQExam level
A tuning fork completes 1200 oscillations in 3 s. Its frequency is
(a) 400 Hz
(b) 3600 Hz
(c) 1200 Hz
(d) 0.0025 Hz
Try it first, then show the solutionSolution
- Frequency = oscillations per second.
- Hz.
Answer: (a)
Example 3: Type of wave (assertion-reason) · 1 mark · Assertion-reasonExam level
Assertion (A): A sound wave in air is a longitudinal wave.
Reason (R): Air particles vibrate perpendicular to the direction in which the sound travels.
(a) A and R are both true, and R explains A correctly.
(b) A and R are both true, but R does not explain A.
(c) A is true, R is false.
(d) A is false, R is true.
Try it first, then show the solutionSolution
- Sound in air is longitudinal: A is true.
- In a longitudinal wave the particles vibrate parallel to the direction of travel; perpendicular vibration describes a transverse wave, so R is false.
Answer: (c)
Example 4: Lightning · 2 marks · Very short answerExam level
Thunder is heard 3 s after a lightning flash. Taking sound as 340 m s⁻¹, how far away was the lightning? Why can the time for light be ignored?
Try it first, then show the solutionSolution
- Distance m, about 1 km.
- Light travels about m s⁻¹, so it takes only about 3 millionths of a second for 1 km.
Answer: About 1020 m.
Example 5: Echo in a corridor · 2 marks · Very short answerHarder exam level
A student claps in a long corridor and hears the reflection from the far wall 0.15 s later (sound 340 m s⁻¹). Is it a separate echo? How far is the wall? If she walks 10 m towards the wall and claps again, will she still hear an echo?
Try it first, then show the solutionSolution
- 0.15 s is more than 0.1 s, so it is heard as an echo.
- Distance m.
- After moving 10 m: distance m; return time s, less than 0.1 s, so it merges with the clap (reverberation), not a separate echo.
Answer: Yes, an echo; 25.5 m; no echo at 15.5 m (about 0.09 s).
Example 6: Wreck under the sea · 3 marks · Short answerHarder exam level
A ship's sonar detects an echo from a wreck 1.2 s after sending a pulse. Sound travels at 1530 m s⁻¹ in seawater. How deep is the wreck? Why is ultrasound used rather than audible sound?
Try it first, then show the solutionSolution
- Depth m.
- Ultrasound has a short wavelength, so it travels in a narrow beam and reflects well from small objects.
- It also does not disturb people on board and is not confused with ship noises.
Answer: 918 m; ultrasound gives a narrow beam, clear echoes and no audible disturbance.
Example 7: Echo on a cold morning · 3 marks · Short answerHarder exam level
On a winter morning at 0 °C (sound 331 m s⁻¹) a boy hears the echo of his shout from a cliff after 2.0 s. How far is the cliff? In the afternoon, at 22 °C (344 m s⁻¹), how long will the echo take?
Try it first, then show the solutionSolution
- Distance m.
- Afternoon: s.
- Sound is faster in warmer air, so the echo returns about 0.08 s sooner.
Answer: 331 m; about 1.92 s (about 0.08 s sooner).
Example 8: Comparing two waves · 3 marks · Short answerHarder exam level
On the same scales, wave P shows 2 complete waves in 8 cm and wave Q shows 4 complete waves in 8 cm. Both travel at 340 m s⁻¹. Find each wavelength and frequency. Which has the higher pitch?
Try it first, then show the solutionSolution
- P: cm m; Hz.
- Q: cm m; Hz.
- Q has the higher frequency, so the higher pitch.
Answer: P 4 cm, 8500 Hz; Q 2 cm, 17 000 Hz; Q is higher-pitched.
Example 9: Planning an echo experiment · 2 marks · Very short answerHarder exam level
For a school echo experiment, students stand 25 m from a large brick wall. With sound at 340 m s⁻¹, how long after a clap does the echo return? Will it be heard separately? Why is a brick wall better than a hedge?
Try it first, then show the solutionSolution
- s, more than 0.1 s, so the echo is heard separately.
- A hard, smooth, large surface reflects sound strongly; a hedge is soft and uneven, so it absorbs and scatters sound.
Answer: About 0.15 s, heard separately; a brick wall reflects strongly, a hedge absorbs and scatters.
Example 10: Echoes in water and air · 3 marks · Short answerHOTS / competency
A person stands 17 m from a dam wall in air and claps (340 m s⁻¹). How far from the same wall must a diver be under water (1500 m s⁻¹) for the echo to take the same time? Would the diver 17 m away hear a separate echo?
Try it first, then show the solutionSolution
- In air: s, just enough for an echo.
- For the same 0.1 s in water: m.
- A diver only 17 m away: s, far less than 0.1 s, so no separate echo.
Answer: 75 m; at 17 m the echo returns in about 0.023 s, too soon to be heard separately.
Example 11: Measuring the speed of sound with a balloon · 4 marks · Case-basedHOTS / competency
On a 200 m field, a student starts a stopwatch on seeing a balloon burst and stops it on hearing the pop. Five trials give 0.62, 0.55, 0.60, 0.57 and 0.58 s. Find the average speed of sound. Why do we time from seeing to hearing, and give one source of error.
Try it first, then show the solutionSolution
- Average time s.
- Speed m s⁻¹.
- Light reaches us almost instantly, so the delay is the time sound takes to cross the field.
- Errors: human reaction time in starting and stopping the watch; wind; inaccurate distance.
Answer: About 342 m s⁻¹; light's travel time is negligible; reaction time is the main error.
Case-study practice (Section E style)
Read the situation, then answer every part. In a school exam set on the board pattern this is a 4-mark question split into 1 + 1 + 2 marks.
Ultrasound scan at a clinic
A doctor uses an ultrasound probe at about 3 MHz to check a patient's kidneys. Sound travels through body tissue at about 1540 m s⁻¹. A pulse reflected from a kidney stone returns after 0.00013 s.
(i) · 1 mark
Is 3 MHz audible to humans? Give a reason.
Answer
Answer: No
3 MHz = 3 000 000 Hz, far above 20 kHz, so it is ultrasonic.
(ii) · 1 mark
Find the wavelength of this ultrasound in tissue.
Answer
Answer: About 0.51 mm
m.
(iii) · 2 marks
How deep is the stone below the probe, and how can ultrasound also help treat it?
Answer
Answer: About 10 cm; break the stone
m cm (1 mark). High-energy ultrasound can break kidney stones into small pieces that pass out of the body (1 mark).
Where the marks are
How a typical answer is split into step marks. Show every step: a right final answer alone rarely earns full marks.
A source produces a sound of frequency 250 Hz in air at 340 m s⁻¹. Find its wavelength and time period. (2 marks)
| Step | Marks |
|---|---|
| m | 1 |
| s | 1 |
Two friends stand 680 m apart along a long steel fence. One knocks the fence. Find the time gap between the sounds reaching the other through steel (5000 m s⁻¹) and air (340 m s⁻¹). Will they be heard separately? (3 marks)
| Step | Marks |
|---|---|
| Through air: s | 1 |
| Through steel: s | 1 |
| Gap s, more than 0.1 s, so two separate sounds are heard | 1 |
With a labelled diagram, explain how sound travels through air as a longitudinal wave, and why it cannot travel through vacuum. (5 marks)
| Step | Marks |
|---|---|
| Diagram of a vibrating source (piston or tuning fork) with alternate compressions and rarefactions labelled | 1 |
| Forward motion compresses air (higher density); backward motion makes a rarefaction (lower density) | 1 |
| Particles collide with neighbours and pass the disturbance on, vibrating only about mean positions | 1 |
| Particle vibration is parallel to the direction of travel, so the wave is longitudinal | 1 |
| In vacuum there are no particles to compress or rarefy, so sound cannot travel (bell-jar evidence) | 1 |
Where students lose marks in Sound Waves: Characteristics and Applications
The slips examiners see most often, and what to write instead.
Mistake: Forgetting to halve the echo time
Students use the full time as one-way travel.
Wrong working
Echo after 0.8 s: m.
Right working
m.
Do this: Round trip → divide by 2.
Usually costs: The answer mark.
Mistake: Saying air particles travel from the source to the ear
We 'feel' sound coming at us.
Wrong working
Sound reaches us because air near the tuning fork moves to our ear.
Right working
Particles only vibrate about mean positions; the compressions and rarefactions and the energy travel.
Do this: Remember the marked turn on the slinky.
Usually costs: 1 mark.
Mistake: Thinking frequency changes speed
Higher notes 'sound faster'.
Wrong working
A 1000 Hz sound travels faster in air than a 500 Hz sound.
Right working
In the same medium both travel at the same speed; the 1000 Hz sound has half the wavelength.
Do this: Speed depends on the medium (and temperature), not the frequency.
Usually costs: 1 mark in MCQs.
Mistake: Confusing pitch with loudness
Both are 'how a sound feels'.
Wrong working
A loud sound has a high pitch.
Right working
Loudness depends on amplitude; pitch depends on frequency. A lion's roar is loud but low-pitched.
Do this: Pitch–frequency, loudness–amplitude.
Usually costs: 1 mark.
Mistake: Measuring amplitude from trough to crest
It looks like the 'size' of the wave.
Wrong working
Amplitude = vertical distance from trough to crest.
Right working
Amplitude = maximum change from the average density (half the trough-to-crest height).
Do this: Draw the average line first.
Usually costs: 1 mark in graph questions.
NCERT exercise guide: Sound Waves: Characteristics and Applications
What each exercise in the NCERT chapter tests, how to approach it, and a question of the same kind solved step by step. Questions here are written in our own words.
Revise, Reflect, Refine
What it tests: Evidence for mechanical waves, effect of frequency, frequency from compressions, echo or reverberation at 0.05 s, comparing graphs, drawing a wave, the space-movie error, time period from wavelength, sonar depth, parking sensors, temperature and thunder delay, wavelength and frequency from graphs, and echo times in air and water.
How to approach it: Write the given values with units, choose , or , and state assumptions.
Like the parking sensor question in Revise, Reflect, Refine
A car's ultrasonic parking sensor starts beeping when an obstacle is 0.9 m behind. With sound at 345 m s⁻¹, how long does a pulse take to go and return?
Show the solutionSolution
- Total path m.
- s, about 5.2 ms.
Answer: About 0.0052 s.
Think It Over
What it tests: Whether astronauts on a spacewalk can talk and hear clanking, and how bats use sound to find prey.
How to approach it: Use 'sound needs a medium' and 'echolocation by ultrasound'.
Like the opening Think It Over questions
Two astronauts repairing a space station touch helmets and find they can just hear each other. Explain why, though they cannot hear each other when apart.
Show the solutionSolution
- Space is nearly a vacuum, so sound cannot travel between them through space.
- When helmets touch, the vibrations pass through the solid helmet material, which is a medium.
- So sound travels by contact, but not across empty space.
Answer: Touching helmets give a solid path for sound; empty space gives none.
Let us explore
What it tests: The Journey Beyond: earphone use and hearing loss, a paper cone to direct sound, curved hall designs, measuring the speed of sound with a bursting balloon, and simulations on temperature and humidity.
How to approach it: For the balloon activity, start timing when you see the burst (light arrives almost at once) and stop when you hear it; average several trials and divide distance by time.
Practice questions on Sound Waves: Characteristics and Applications
Write each answer on paper first. Open the hint only if you are stuck, and the answer only when you have finished.
Q1 · 1 mark · MCQExam level
Sound cannot travel through
(a) steel
(b) water
(c) vacuum
(d) airHint
No particles.
Answer
(c) vacuum
Q2 · 1 mark · MCQExam level
Halving the frequency of a sound in the same medium will
(a) halve its speed
(b) double its wavelength
(c) double its speed
(d) halve its time periodHint
with fixed.
Answer
(b) double its wavelength (speed is unchanged; the time period doubles).
Q3 · 1 mark · Assertion-reasonExam level
Assertion (A): Astronauts on a spacewalk talk to each other by radio.
Reason (R): Radio waves, like light, do not need a material medium.
(a) A and R are both true, and R explains A correctly.
(b) A and R are both true, but R does not explain A.
(c) A is true, R is false.
(d) A is false, R is true.Hint
Which waves cross a vacuum?
Answer
(a)
Q4 · 2 marks · Very short answerExam level
Define wavelength and time period of a sound wave and give their SI units.
Hint
Crest to crest; one oscillation.
Answer
Wavelength: distance between two consecutive crests (or troughs), in metres. Time period: time for one complete density oscillation at a point, in seconds.
Q5 · 2 marks · Very short answerHarder exam level
A tuning fork of 512 Hz is sounded in air at 344 m s⁻¹. Find the wavelength and the time period.
Hint
.
Answer
m; s.
Q6 · 2 marks · Very short answerHarder exam level
In a cartoon, an astronaut on the Moon hears a boulder crash on the far side of a crater. Is this possible? Could he sense the crash if he were kneeling with his hands on the ground?
Hint
Medium: none above the ground, but the ground is solid.
Answer
He cannot hear it through the Moon's surroundings, which are a near vacuum with no air to carry sound. Through the solid ground, however, the vibrations could travel and be felt (or reach his suit through contact), because solids carry sound.
Q7 · 3 marks · Short answerHarder exam level
Distinguish between echo and reverberation. How are reverberations reduced in a cinema hall?
Hint
Time gap; soft materials.
Answer
Echo: a single reflection heard separately, at least 0.1 s after the original (reflector at least about 17 m away). Reverberation: many reflections arriving close together (within about 0.05 s), making sound linger. Reduced by sound-absorbing panels, curtains, carpets and upholstered seats, and by shaping walls and ceilings.
Q8 · 3 marks · Short answerHarder exam level
Explain how a bat catches a moth in total darkness. Name the waves used and the property of sound involved.
Hint
Echolocation.
Answer
The bat sends short bursts of ultrasonic waves. They reflect from the moth and return; from the time delay and direction of the echoes the bat judges the moth's position and closes in. This is echolocation, using reflection of sound.
Q9 · 3 marks · Short answerHarder exam level
Compare the speeds of sound in steel, water and air by finding (i) water : air (ii) steel : water, using 5000, 1500 and 340 m s⁻¹. Why is sound faster in solids?
Hint
Divide.
Answer
(i) (ii) . In solids, particles are packed closely and strongly linked, so a disturbance is passed on very quickly.
Q10 · 3 marks · Short answerHarder exam level
List four uses of ultrasound and one use of infrasound.
Hint
Medicine, industry, sea.
Answer
Ultrasound: imaging organs (ultrasonography), breaking kidney stones, cleaning delicate parts, detecting cracks in metal, sonar, parking sensors. Infrasound: detecting earthquakes, volcanic eruptions or severe storms.
Q11 · 3 marks · Short answerHOTS / competency
A child shouts towards a cliff 85 m away on a day when sound travels at 340 m s⁻¹. After 3 s the child shouts again. Does the second shout overlap the first echo? Explain with calculation.
Hint
Echo time.
Answer
Echo time s, so the echo of the first shout returns at 0.5 s, well before the second shout at 3 s. No overlap; the echo is heard clearly.
Q12 · 3 marks · Short answerHOTS / competency
Why can the same note on a flute and a tabla sound different even at the same loudness? Explain with the terms fundamental, overtones and timbre.
Hint
Mixture of frequencies.
Answer
Each instrument's note has the same lowest frequency (fundamental) but a different mix and strength of higher frequencies (overtones), set by its shape, material and construction. This pattern is the timbre, which lets us tell the instruments apart.
Test your recall
Answer in your head or on paper first, then open the card. Pulling an answer out of memory makes it stick far better than re-reading.
1.What produces sound?Show answer
Vibrating objects.
2.Which part of the human body produces the voice?Show answer
The vocal cords in the larynx (voice box).
3.Define a compression and a rarefaction.Show answer
Compression: region of higher density than average; rarefaction: region of lower density than average.
4.What is a longitudinal wave?Show answer
A wave in which particles of the medium vibrate parallel to the direction in which the wave travels.
5.What is the SI unit of frequency?Show answer
The hertz (Hz), equal to one oscillation per second.
6.Write the relation between speed, wavelength and frequency.Show answer
.
7.In which medium is sound fastest: steel, water or air?Show answer
Steel.
8.What is the audible range of humans?Show answer
About 20 Hz to 20 000 Hz.
9.What minimum time gap is needed to hear an echo?Show answer
About 0.1 s.
10.What does SONAR stand for?Show answer
Sound navigation and ranging.
Best order to study it
- Learn production of sound with the rubber band and tuning fork activities (10.1).
- Learn propagation through solids, liquids and gases and the bell-jar experiment (10.2).
- Understand compressions, rarefactions and longitudinal waves with the slinky and piston (10.3).
- Learn energy of sound and the density-distance graph (10.4, 10.5).
- Learn λ, ν, T, amplitude, intensity, speed, pitch and loudness with numericals (10.6).
- Finish with echo, reverberation, ultrasound, echolocation and sonar (10.7, 10.8) and all Revise, Reflect, Refine questions.
Quick revision checklist
The night before the exam: can you do each of these without looking?
- Can you describe two activities showing sound comes from vibration?
- Can you explain the bell-jar experiment and the astronaut puzzle?
- Can you draw compressions and rarefactions and label λ?
- Can you explain the difference between longitudinal and transverse waves?
- Can you mark crest, trough, λ and amplitude on a density graph?
- Can you use and ?
- Can you rank speeds in steel, water and air and say how temperature matters?
- Can you link pitch and loudness to physical properties?
- Can you solve echo and sonar problems with the factor of 2?
- Can you list three uses each of ultrasound and infrasound?
Sound Waves: Characteristics and Applications: frequently asked questions
Which practical goes with this chapter?
The CBSE syllabus lists determining the speed of a pulse sent along a stretched string or a slinky (helical spring), by measuring the distance and the time it takes.
Do I need to know decibel calculations?
No. Know that loudness is measured in decibels and typical values (about 60 dB for conversation, over 100 dB for crackers); calculations are not required.
Is the structure of the human ear in the syllabus?
It appears in a Ready to Go Beyond box: eardrum, tiny bones, cochlea. A short description is useful; a detailed diagram is not listed in the syllabus.
Do echo questions always use 340 m s⁻¹?
Use the value given in the question (340, 343, 344 or 346 m s⁻¹ for air, about 1500 m s⁻¹ for seawater). If none is given, 340 m s⁻¹ is a safe choice for air.
How many marks does this chapter carry?
It is part of Unit III, Motion, Force, Work and Sound, which carries 23 of the 80 theory marks together with three other chapters; CBSE does not fix marks per chapter.
Based on: CBSE Science (086) syllabus, Class IX 2026-27; NCERT Exploration, Science Textbook for Grade 9 (First Edition 2026)