Sound

Sound

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๐Ÿ“˜ Chapter Overview


This chapter explores soundโ€™s nature, production, propagation, and characteristics. It discusses how sound waves travel, their speed in various media, concepts of reflection (echo, reverberation), and the structure of the human ear.


๐Ÿ”น 1. What is Sound?

โœ… Sound is a form of energy that travels through a medium and causes the sensation of hearing.

  • It is produced by vibrating objects.
  • Examples:
    • Guitar string
    • Vocal cords
    • Loudspeaker cone

๐Ÿ”น 2. How is Sound Produced?

โœ… Sound is produced by vibration (back-and-forth motion).

  • If a body is not vibrating, it will not produce sound.
  • A tuning fork, rubber band, or stretched string can demonstrate this.

๐Ÿง  Answer:
The vibrating object causes particles of the medium (like air) to vibrate. These vibrations travel in the form of compressions and rarefactions, creating a longitudinal sound wave. The wave reaches our ears, causing our eardrum to vibrate, which is then processed by our brain as sound.

๐Ÿง  Answer:
When the school bell is struck, it begins to vibrate. These vibrations disturb the surrounding air particles, creating compressions and rarefactions. These sound waves travel through the air to our ears, and we hear the bell ringing.

๐Ÿง  Answer:
Sound waves are called mechanical waves because they require a material medium (like air, water, or solids) to travel. They cannot travel in a vacuum, which is a property of mechanical waves.

๐Ÿง  Answer:
No, you will not be able to hear your friend on the moon. This is because the moon has no atmosphere, so there is no medium for sound to travel. Sound cannot travel in a vacuum.

๐Ÿง  Answer:
(a) Loudness depends on the amplitude of the wave. Greater amplitude means louder sound.
(b) Pitch depends on the frequency of the wave. Higher frequency means higher pitch.

๐Ÿง  Answer:
A guitar has a higher pitch than a car horn. Guitar strings vibrate at a higher frequency, producing a sharper and higher-pitched sound.


๐Ÿ”น 3. How Does Sound Travel?

โœ… Sound needs a medium (solid, liquid, or gas) to travel. It cannot travel in a vacuum.

  • Sound travels in the form of longitudinal waves.
  • These waves form compressions and rarefactions in the medium.

๐Ÿ”น 4. Characteristics of a Sound Wave

Sound waves
TermMeaningUnit
Wavelength (ฮป)Distance between two compressions or rarefactionsmetre (m)
Frequency (f)Number of vibrations per secondHertz (Hz)
Time Period (T)Time taken to complete one vibrationsecond (s)
Amplitude (A)Maximum displacement from mean positionmetre (m)
Wave Speed (v)Speed at which sound travels through a mediumm/s

๐Ÿ“˜ Formula:

    \[\boxed{v = f \times \lambda}\]

Where:

  • v = speed of sound (m/s)
  • f= frequency (Hz)
  • \lambda = wavelength (m)

๐Ÿง  Answer:
โ€“ Wavelength (ฮป): The distance between two consecutive compressions or rarefactions.
โ€“ Frequency (f): Number of vibrations per second (unit: Hertz, Hz).
โ€“ Time Period (T): Time taken for one complete vibration (T = 1/f).
โ€“ Amplitude: Maximum displacement of particles from their mean position. Greater amplitude means louder sound.

๐Ÿง  Answer:
The speed of sound is the product of its frequency and wavelength.
Formula:

Speed (v) = Frequency (f) ร— Wavelength (ฮป)

๐Ÿ“˜ Given:
Frequency (f) = 220 Hz
Speed (v) = 440 m/s

๐Ÿ“˜ Formula:

Wavelength (ฮป) = v / f
              = 440 / 220
              = 2 m

โœ… Final Answer: Wavelength = 2 metres

๐Ÿง  Answer:
The time interval between successive compressions is the time period (T) of the wave.

๐Ÿ“˜ Given: Frequency (f) = 500 Hz

๐Ÿ“˜ Formula:

Time period (T) = 1 / f
              = 1 / 500
              = 0.002 seconds

โœ… Final Answer: 0.002 seconds

๐Ÿง  Answer:

Loudness Intensity
It is the perception of sound by our ears. It is the amount of sound energy passing per unit area per second.
It is a subjective quantity (varies from person to person). It is an objective quantity (measurable).
Measured in decibel (dB). Measured in watt per square meter (W/mยฒ).
Depends on amplitude and sensitivity of ear. Depends only on amplitude and distance from source.

๐Ÿ”น 5. Speed of Sound in Different Media

MediumApprox. Speed (m/s)
Air (25ยฐC)346
Water1500
Steel5000

โœ… Sound travels fastest in solids, slower in liquids, and slowest in gases.

๐Ÿง  Answer:
Sound travels the fastest in iron, then in water, and the slowest in air at a given temperature.

โœ… Order of speed:
Iron > Water > Air

๐Ÿ“Š Typical Speeds:

  • In air (at 25ยฐC): ~346 m/s
  • In water: ~1500 m/s
  • In iron: ~5000 m/s

๐Ÿ”น 6. Reflection of Sound

โœ… Like light, sound can also reflect.

  • Laws of reflection:
    • Angle of incidence = Angle of reflection
    • Incident wave, reflected wave, and normal lie in the same plane

Applications:

  • Megaphone
  • Stethoscope
  • SONAR
  • Auditorium design

๐Ÿ”น 7. Echo

โœ… Echo is the reflection of sound heard after a short delay.

  • Minimum time gap for echo = 0.1 seconds
  • Minimum distance required = 17.2 m (for speed 343 m/s)

๐Ÿ“˜ Given:
Time (t) = 3 seconds
Speed of sound (v) = 342 m/s

๐Ÿง  Explanation:
In echo problems, the sound travels to the surface and back. So the time includes the round trip.

๐Ÿ“˜ Formula:

Distance = (v ร— t) / 2
         = (342 ร— 3) / 2
         = 1026 / 2
         = 513 m

โœ… Final Answer: Distance of reflecting surface = 513 metres


๐Ÿ”น 8. Reverberation

โœ… Reverberation is the persistence of sound due to multiple reflections.

  • Happens in large halls.
  • Controlled using sound-absorbing materials like:
    • Carpets
    • Curtains
    • Foam panels
echo vs reverberation

๐Ÿง  Answer:
The ceilings of concert halls are curved so that sound reflects uniformly in all directions. This ensures that sound reaches every corner of the hall clearly. Curved surfaces help in the even distribution of sound by reflecting it toward the audience, improving audibility and clarity.


๐Ÿ”น 9. Range of Hearing

Type of SoundFrequency Range
Infrasonic< 20 Hz
Audible20 Hz to 20,000 Hz (20 kHz)
Ultrasonic> 20,000 Hz
  • Humans hear in the audible range.
  • Dogs and bats can hear ultrasound.

๐Ÿง  Answer:
The audible range of the average human ear is from 20 Hz to 20,000 Hz (20 kHz).

๐Ÿง  Answer:

  • (a) Infrasound: Frequencies below 20 Hz
  • (b) Ultrasound: Frequencies above 20,000 Hz (20 kHz)

๐Ÿ”น 10. Uses of Ultrasound

  • Medical imaging (sonography)
  • Cleaning delicate objects (watches, electronic parts)
  • Detecting cracks in machines
  • SONAR technology

๐Ÿ”น 11. SONAR (Sound Navigation and Ranging)

Sonar

โœ… Used to detect depth or objects under water.

  • Emits ultrasound waves
  • Waves reflect back from object
  • Time taken is recorded

๐Ÿ“˜ Formula:

    \[\boxed{\text{Distance} = \dfrac{v\times t}{2}}\]

Where:

  • v: Speed of sound in water (~1500 m/s)
  • t : total time for echo to return

๐Ÿ”น 12. Structure of Human Ear

PartFunction
PinnaCollects sound
Ear CanalPasses sound to eardrum
EardrumVibrates with sound
Ear BonesAmplify vibrations
CochleaConverts vibration into nerve signals
Auditory NerveSends signal to brain for interpretation

๐Ÿ“Š Summary of Important Concepts

ConceptDetails
Sound needs mediumCannot travel in vacuum
Sound waves typeLongitudinal
Echo time requirementโ‰ฅ 0.1 seconds
Human hearing range20 Hz โ€“ 20 kHz
Ultrasound useSonography, SONAR, cleaning
Speed of sound in air~346 m/s
Formula for speedv = f \times \lambda
SONAR distance formulad = \frac{v \times t}{2}

๐Ÿง  Key Points to Remember

  • Vibrating objects produce sound.
  • Sound travels as longitudinal waves.
  • Loudness โˆ square of amplitude.
  • Pitch โˆ frequency.
  • Speed of sound is highest in solids.
  • Human ears detect sound via mechanical-to-electrical conversion.

Exercise

๐Ÿง  Answer:
Sound is a form of energy produced by vibrating objects. When an object vibrates, it disturbs the particles of the surrounding medium (like air), creating sound waves that travel to our ears and make us hear the sound.

๐Ÿง  Answer:
When a vibrating object moves forward, it pushes air particles together creating a compression (region of high pressure). When it moves backward, it leaves a space between particles, creating a rarefaction (region of low pressure). These alternate compressions and rarefactions travel in the form of sound waves.

Diagram: Use the 16:9 labeled diagram showing sound propagation with compressions and rarefactions (as created earlier).

๐Ÿง  Answer:
In a sound wave, the particles of the medium vibrate parallel to the direction of wave propagation. Since this is the defining property of longitudinal waves, sound is called a longitudinal wave.

๐Ÿง  Answer:
The quality or timbre of sound helps us identify different voices. Even if pitch and loudness are the same, each personโ€™s voice has a unique quality which allows us to recognize it.

๐Ÿง  Answer:
Light travels much faster than sound. So, even though thunder and lightning occur at the same time, the light reaches us first, and the sound reaches a few seconds later, causing the delay in hearing the thunder.

๐Ÿ“˜ Given: Speed of sound = 344 m/s Frequency range = 20 Hz to 20,000 Hz (20 kHz)

Formula:

Wavelength = Speed / Frequency

๐Ÿงฎ Calculation:

For 20 Hz:
ฮป = 344 / 20 = 17.2 m

For 20,000 Hz:
ฮป = 344 / 20000 = 0.0172 m

โœ… Final Answer:
Wavelength range = 0.0172 m to 17.2 m

๐Ÿ“˜ Given:
Speed of sound in aluminium โ‰ˆ 6420 m/s
Speed of sound in air โ‰ˆ 343 m/s

๐Ÿง  Concept:
Time is inversely proportional to speed (t โˆ 1/v)

Ratio = time in air / time in aluminium
      = speed in aluminium / speed in air
      = 6420 / 343 โ‰ˆ 18.72

โœ… Final Answer: Ratio = 18.72 : 1

๐Ÿ“˜ Given:
Frequency = 100 Hz = 100 vibrations per second
Time = 1 minute = 60 seconds

Number of vibrations = 100 ร— 60 = 6000

โœ… Final Answer: 6000 vibrations in a minute

๐Ÿง  Answer:
Yes, sound follows the same laws of reflection as light:

  • Angle of incidence = Angle of reflection
  • Incident wave, reflected wave, and normal lie in the same plane

๐Ÿง  Answer:
Yes, on a hotter day the speed of sound increases because air becomes less dense. So the sound takes less time to return, and an echo may be heard more distinctly if the time gap is โ‰ฅ 0.1 s.

๐Ÿง  Answer:

  • Used in SONAR to detect underwater objects.
  • Used in stethoscopes by doctors to hear heartbeats.
  • Used in the design of auditoriums and concert halls for better acoustics.

๐Ÿ“˜ Given:
Height (h) = 500 m
g = 10 m/sยฒ
Speed of sound (v) = 340 m/s

Step 1: Time taken to fall

tโ‚ = โˆš(2h/g) = โˆš(2ร—500 / 10) = โˆš100 = 10 s

Step 2: Time for sound to travel back

tโ‚‚ = Distance / Speed = 500 / 340 โ‰ˆ 1.47 s

โœ… Final Answer:
Splash is heard after 10 + 1.47 = 11.47 seconds

๐Ÿ“˜ Given:
Speed (v) = 339 m/s
Wavelength (ฮป) = 1.5 cm = 0.015 m

๐Ÿ“˜ Formula:

Frequency (f) = v / ฮป
             = 339 / 0.015
             โ‰ˆ 22600 Hz

โœ… Final Answer:
Frequency โ‰ˆ 22,600 Hz โ†’ This is not audible as it is above 20,000 Hz (ultrasound).

๐Ÿง  Answer:
Reverberation is the prolonged persistence of sound due to multiple reflections from surfaces like walls, ceiling, and floor. It makes sound unclear or noisy in a hall.

To reduce reverberation:

  • Use sound-absorbing materials (curtains, carpets)
  • Install false ceilings with acoustic tiles
  • Add padded furniture to absorb sound

๐Ÿง  Answer:
Loudness is the perception of sound intensity by the human ear. It tells how strong or weak a sound is.

It depends on:

  • Amplitude of the sound wave (more amplitude โ†’ more loudness)
  • Sensitivity of the listenerโ€™s ear

โœ… Unit of Loudness: Decibel (dB)

๐Ÿง  Answer:
Ultrasound waves are used to clean delicate objects like watches, electronic components, or surgical instruments. The high-frequency waves produce vibrations in a cleaning fluid, loosening dirt particles even from tiny holes or corners.

๐Ÿง  Answer:
Ultrasound waves are passed through a metal block. If there is a defect or crack, part of the wave is reflected back early. The remaining wave passes through. By analyzing the reflected waves, technicians can locate hidden flaws without cutting the metal.

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