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Class 9 Science Chapter 10: Sound Waves: Characteristics and Applications — Notes, Examples & Practice

Every sound — a temple bell, a friend's voice, thunder — starts with something vibrating. This chapter explains how vibrations travel as waves of compressions and rarefactions, which quantities describe a wave, why some sounds are high and others loud, how echoes let bats and ships 'see' with sound, and how your ear turns tiny pressure changes into the sense of hearing.

1How sound is produced and travels

Sound is produced by vibrating objects: a guitar string, the skin of a tabla, your vocal cords. Touch a ringing bell gently and you can feel it vibrate.

A vibrating object pushes the air particles next to it together, making a region of high pressure — a compression — then pulls back, making a region of low pressure — a rarefaction. These pass from particle to particle. The particles only oscillate back and forth about their mean positions; it is the disturbance (energy) that travels to your ear, not the air itself.

Because the particles vibrate parallel to the direction the wave travels, sound is a longitudinal wave (unlike water ripples or light, which are transverse). Sound is a mechanical wave: it needs a medium (solid, liquid or gas) and cannot travel through a vacuum — a ringing bell in a jar becomes silent as the air is pumped out.

Key points & definitions
  • Sound = longitudinal mechanical wave; needs a medium.
  • Compression: high pressure/density · Rarefaction: low pressure/density.
  • Speed in air ≈ 340 m/s (at about 20–25 °C); faster in liquids (water ≈ 1500 m/s) and solids (steel ≈ 5000 m/s).
Common mistakes
  • Saying air travels from the source to the ear.
  • Thinking sound travels in space — astronauts use radio (electromagnetic waves).

2Describing a wave

The distance between two consecutive compressions (or rarefactions) is the wavelength λ (metre). The time for one complete oscillation is the time period T (second). The number of oscillations per second is the frequency f, measured in hertz (Hz): f=1Tf = \dfrac{1}{T}.

The amplitude is the maximum disturbance of the medium from its normal (mean) value — for sound, the maximum change in pressure or particle displacement.

In one time period the wave moves forward by one wavelength, so its speed is v=λT=fλv = \dfrac{\lambda}{T} = f\lambda. Speed depends on the medium and its temperature (sound is faster in warmer air), not on the frequency.

Key points & definitions
  • f=1Tf = \dfrac{1}{T}
  • v=fλv = f\lambda
  • Amplitude ↔ loudness · Frequency ↔ pitch
Worked example 1

A sound wave has frequency 2 kHz and wavelength 17 cm. Find its speed and time period.

  1. v=fλ=2000×0.17=340v = f\lambda = 2000 \times 0.17 = 340 m/s.
  2. T=12000=0.0005T = \dfrac{1}{2000} = 0.0005 s =0.5= 0.5 ms.

Answer: 340 m/s; 0.5 ms.

Common mistakes
  • Leaving λ in cm when the speed is wanted in m/s.
  • Thinking higher-frequency sound travels faster in the same medium.

3Pitch, loudness and quality

Pitch is how high or low a sound seems, and it depends mainly on frequency: a whistle or a bird's song has high frequency; a lion's roar or a drum has low frequency. A woman's or child's voice usually has a higher pitch than a man's.

Loudness depends on the amplitude (and the energy carried): hitting a drum harder makes larger vibrations and a louder sound. Loudness is measured in decibels (dB); long exposure to sounds above about 80–85 dB, such as loud earphones, can damage hearing permanently.

Quality (timbre) lets you tell a flute from a violin playing the same note at the same loudness: the waveform has a different shape because each instrument produces a mixture of frequencies. A sound of a single frequency is a tone; a pleasant mixture is a note; an unpleasant one is noise.

Key points & definitions
  • Pitch ← frequency · Loudness ← amplitude · Quality ← waveform shape
  • Loudness unit: decibel (dB).
Common mistakes
  • Linking loudness to frequency — a high note can be soft, and a low note can be loud.

4Reflection: echo and reverberation

Sound reflects from hard surfaces like walls, cliffs and buildings, obeying the same laws as light: the angle of incidence equals the angle of reflection.

An echo is a reflected sound heard separately from the original. Our brain keeps a sound for about 0.1 s, so the echo must return at least 0.1 s later. In air at 344 m/s, the sound travels 344×0.1=34.4344 \times 0.1 = 34.4 m in that time, there and back — so the reflecting surface must be at least about 17.2 m away.

In a big hall, many reflections overlap and the sound persists — reverberation. Too much makes speech blurred, so auditoriums use sound-absorbing materials (curtains, panels, carpets, soft seats). Curved reflectors are used on purpose in megaphones, stethoscopes and concert-hall ceilings to direct sound to the audience.

Key points & definitions
  • Echo distance: d=v×t2d = \dfrac{v \times t}{2} (sound goes there and back).
  • Minimum distance for an echo ≈ 17 m (in air at room temperature).
  • Reverberation: persistence of sound by repeated reflections.
Worked example 1

A boy shouts near a cliff and hears the echo after 3 s. How far is the cliff? (Speed of sound 340 m/s)

  1. Total distance travelled by sound =340×3=1020= 340 \times 3 = 1020 m.
  2. This is there and back, so d=10202=510d = \dfrac{1020}{2} = 510 m.

Answer: 510 m.

Trick / memory aid

Echo questions: always divide by 2 — the sound makes a round trip.

Common mistakes
  • Forgetting to halve the distance.

5Range of hearing and ultrasound

Humans hear frequencies from about 20 Hz to 20,000 Hz (20 kHz); the upper limit falls with age. Below 20 Hz is infrasound — produced by earthquakes, whales and elephants. Above 20 kHz is ultrasound — used by bats, dolphins and some insects; dogs can hear some ultrasound.

Ultrasound can travel in a narrow beam and reflects strongly from boundaries, which makes it very useful: ultrasound scanning (sonography) images internal organs and checks the growth of a baby in the womb; ultrasonic cleaning shakes dirt off hard-to-reach parts; it detects cracks in metal blocks; it can break kidney stones into fine grains.

SONAR (Sound Navigation And Ranging) on ships sends ultrasound pulses down and measures the time for the echo from the sea bed or a submarine: depth =v×t2= \dfrac{v \times t}{2}. Bats use the same idea, echolocation, to fly and hunt in the dark.

Key points & definitions
  • Audible: 20 Hz – 20 kHz · Infrasound < 20 Hz · Ultrasound > 20 kHz
  • SONAR depth =vt2= \dfrac{v t}{2} (v in water ≈ 1500 m/s)
Worked example 1

A ship's sonar receives the echo from the sea bed 2.4 s after sending the pulse. If sound travels at 1500 m/s in sea water, how deep is the sea?

  1. Total path =1500×2.4=3600= 1500 \times 2.4 = 3600 m.
  2. Depth =3600÷2=1800= 3600 \div 2 = 1800 m.

Answer: 1.8 km.

Common mistakes
  • Using the speed of sound in air for sonar problems.

6How we hear

The outer ear (pinna) collects sound and funnels it down the ear canal to the eardrum, a thin membrane. Compressions push the eardrum in; rarefactions let it move out — so it vibrates at the frequency of the sound.

In the middle ear, three tiny bones — the hammer, anvil and stirrup — amplify these vibrations and pass them to the inner ear.

In the inner ear, the fluid-filled, snail-shaped cochlea converts the vibrations into electrical signals that travel along the auditory nerve to the brain, which interprets them as sound. Loud noise can damage the delicate hair cells of the cochlea, and they do not grow back.

Key points & definitions
  • Pinna → ear canal → eardrum → hammer, anvil, stirrup → cochlea → auditory nerve → brain
Common mistakes
  • Saying the eardrum sends signals to the brain — the cochlea and auditory nerve do.

Important questions

Try each question on paper first, then tap it to check the answer.

Basic Recall and direct use

Why can't sound travel in a vacuum?Answer
Sound is a mechanical wave; it needs particles of a medium to vibrate and pass on the disturbance. A vacuum has no particles.
A wave has a time period of 0.02 s. Find its frequency.Answer
f=10.02=50f = \dfrac{1}{0.02} = 50 Hz.
Which characteristic of sound depends on (a) frequency (b) amplitude?Answer
(a) Pitch (b) Loudness.

Medium Two or three steps

A person stands between two cliffs and claps. He hears the first echo after 2 s and the second after 3 s. Find the distance between the cliffs. (v=340v = 340 m/s)Answer
Distance to cliff 1 =340×22=340= \dfrac{340 \times 2}{2} = 340 m; to cliff 2 =340×32=510= \dfrac{340 \times 3}{2} = 510 m. Total =850= 850 m.
Why does sound travel faster on a hot day?Answer
In warmer air the particles move faster and pass on the disturbance more quickly, so the speed of sound increases (about 0.6 m/s per °C).
Find the wavelength of a 256 Hz tuning fork's sound in air (v=340v = 340 m/s).Answer
λ=vf=340256≈1.33\lambda = \dfrac{v}{f} = \dfrac{340}{256} \approx 1.33 m.

Advanced Reasoning and HOTS

Explain why sound is a longitudinal wave, and why a slinky pushed back and forth at one end models it.Answer
In sound, particles of the medium vibrate back and forth along the direction in which the wave travels, creating compressions and rarefactions. Pushing a slinky's end back and forth makes its coils bunch up and spread out along its length, travelling forward while each coil only oscillates about its place — exactly the same pattern.
Lightning and thunder happen together, but a girl sees the flash 4 s before she hears the thunder. How far away was the lightning? Why the delay?Answer
Light travels about 3×1083 \times 10^8 m/s and reaches her almost instantly; sound at about 340 m/s takes 4 s. Distance ≈340×4=1360\approx 340 \times 4 = 1360 m ≈ 1.4 km. (No halving — this is not an echo.)

Self-check quiz

Five quick questions. Tap an option to see if you are right.

Sound waves in air are
The SI unit of frequency is
The minimum distance for a distinct echo in air (≈ 340 m/s) is about
Ultrasound has frequency
If the frequency of a sound doubles in the same medium, its wavelength

FAQ

Why do we halve the distance in echo and sonar questions?

The time measured is for the sound to go to the reflecting surface and come back, so the distance to the surface is half of speed × time.

Does sound travel faster in solids?

Yes. Particles in solids are closely packed and strongly linked, so they pass on vibrations quickly: roughly 340 m/s in air, 1500 m/s in water and about 5000 m/s in steel.

How loud is too loud for earphones?

Long listening above about 80–85 dB can damage the hair cells in the cochlea. Keep the volume low enough to hear people around you, and take breaks.

Book references

  • NCERT Exploration, Chapter 10: Sound Waves: Characteristics and ApplicationsRead the chapter and do every exercise set first.
  • Science for Class 9 (Physics, Chemistry, Biology) — Lakhmir Singh & Manjit Kaur (S. Chand)Extra numericals and short answers; chapter order follows the old syllabus, so match by topic.
  • S. Chand's Science for Class 9 — S. ChandUseful extra reading and practice; match by topic.
  • Exemplar Problems in Science, Class IX — NCERTConcept-testing MCQs and short answers (written for the old book).

These notes, examples and questions are written by PrepRung in our own words to help you study the NCERT Exploration book. NCERT and CBSE are not affiliated with PrepRung. Always study from your textbook too.