Sound Waves and Their Properties

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Questions and Answers

What is the frequency emitted by the source (target) in the given scenario?

  • 36 × 10^3 Hz (correct)
  • 3600 Hz
  • 38 × 10^3 Hz
  • 30 m/s

In the context of the Doppler effect, when the source is approaching the listener, which signs are used in the formula for calculating shifted frequencies?

  • No signs needed
  • Upper signs (correct)
  • Lower signs
  • Mixed signs

In the formula for Doppler shifted frequency, what variable represents the speed of the listener?

  • v_s
  • n_0
  • v_L (correct)
  • n'

If the bat is receding while the car is approaching, how would this affect the frequency detected by the car's detector?

<p>It would decrease the detected frequency (B)</p> Signup and view all the answers

What is the Doppler shifted frequency when the car (listener) is detected in motion towards a closing source (bat)?

<p>Higher than the emitted frequency (A)</p> Signup and view all the answers

What is the speed of sound in air?

<p>330 m/s (D)</p> Signup and view all the answers

How much time does sound take to travel a distance of 80 m in air?

<p>0.24 s (B)</p> Signup and view all the answers

What should the surface behind the speaker be designed as to achieve good acoustics?

<p>Parabolic surface (D)</p> Signup and view all the answers

What should be done to echoes and reverberation in an auditorium?

<p>Eliminate or reduce them (A)</p> Signup and view all the answers

Which of the following conditions improves sound loudness throughout the auditorium?

<p>Ensuring uniform sound distribution (A)</p> Signup and view all the answers

What is the effect caused by sound produced in the hall mixing with echoes?

<p>Echelon effect (B)</p> Signup and view all the answers

What should be avoided to prevent unnecessary focusing of sound in an auditorium?

<p>Curved surfaces of walls or ceilings (B)</p> Signup and view all the answers

When do echoes combine with the original sound to prolong it?

<p>When the reflecting surface is closer than 15 m (C)</p> Signup and view all the answers

What is the calculated speed of sound in air at NTP?

<p>332.3 m/s (C)</p> Signup and view all the answers

What factor primarily affects the speed of sound in a gas according to the provided content?

<p>Temperature (D)</p> Signup and view all the answers

What is the time difference when comparing your friend's hearing of sound with the broadcasted sound?

<p>0.4446 s (D)</p> Signup and view all the answers

What is the relationship between loudness in decibels (db) and bel?

<p>Loudness in db is 10 times the loudness in bel. (D)</p> Signup and view all the answers

What is the sound intensity of 20 db in terms of the least audible intensity I0?

<p>I = 100 I0 (C)</p> Signup and view all the answers

What correction did Laplace make regarding the propagation of sound?

<p>Understanding compression and rarefaction as slow phenomena (B)</p> Signup and view all the answers

At what intensity level does immediate ear damage occur according to the approximate decibel ratings?

<p>150 db (D)</p> Signup and view all the answers

If the pressure of the enclosed air is increased from P0 to P, how does the speed of sound change?

<p>It increases by 1.5 times (B)</p> Signup and view all the answers

How much louder is a sound measured at 100 db compared to the threshold of hearing?

<p>1000 times (D)</p> Signup and view all the answers

What is the relationship between the specific heat of a gas and the temperature increase at constant pressure?

<p>Higher specific heat leads to a smaller temperature increase (C)</p> Signup and view all the answers

Which of the following statements is true regarding sound waves traveling through open air?

<p>Pressure changes have no effect unless temperature changes. (D)</p> Signup and view all the answers

What is the effect of exposure to sounds measured at 110 db?

<p>Strongly painful sensation (D)</p> Signup and view all the answers

What can be inferred about sounds measuring at 30 db in a quiet rural area?

<p>They represent virtual silence. (C)</p> Signup and view all the answers

What does the constant Cp represent for gases in the context provided?

<p>Specific heat at constant pressure (D)</p> Signup and view all the answers

Which of the following sound sources corresponds to an intensity of about 70 db?

<p>Highway traffic at 8 m (B)</p> Signup and view all the answers

Which decibel rating indicates the threshold of hearing?

<p>0 db (C)</p> Signup and view all the answers

What type of wave is a sound wave classified as?

<p>Mechanical wave (B)</p> Signup and view all the answers

Which of the following statements about sound is true?

<p>Sound waves are longitudinal waves. (D)</p> Signup and view all the answers

What is the definition of wavelength in the context of wave motion?

<p>The distance between two successive particles in the same state of vibration (C)</p> Signup and view all the answers

What is the significance of amplitude in wave motion?

<p>It is the largest displacement of a particle from its rest position. (A)</p> Signup and view all the answers

Which of the following best describes reverberation?

<p>The continued sound produced after the source has stopped. (A)</p> Signup and view all the answers

Which characteristic of a sound wave determines its pitch?

<p>Frequency (B)</p> Signup and view all the answers

What occurs when sound waves reflect off a surface creating an echo?

<p>Reflection (D)</p> Signup and view all the answers

Which of the following is not a common property of all waves?

<p>Directionality (C)</p> Signup and view all the answers

What is the frequency of a sound wave with a speed of 340 m/s and a wavelength of 1.7 m?

<p>200 Hz (C)</p> Signup and view all the answers

Which of the following describes a characteristic of transverse waves?

<p>Particles move perpendicular to the direction of wave travel (D)</p> Signup and view all the answers

If the speed of sound in two locations is in the ratio of 1:1.1, assuming temperatures are the same, what can be concluded about the medium in these locations?

<p>The second medium is less dense (A)</p> Signup and view all the answers

What is the recorded frequency of a siren from a police car traveling towards a stationary observer emitting a frequency of 250 Hz at 15 m/s?

<p>261.54 Hz (A)</p> Signup and view all the answers

What is Newton's formula for the velocity of sound, and what is its limitation?

<p>Velocity = $331 + 0.6T$; assumes uniform temperature (D)</p> Signup and view all the answers

If an echo is received 0.45 seconds after it was sent and the speed of sound in water is 1500 m/s, how deep is the shoal of fish?

<p>337.5 m (B)</p> Signup and view all the answers

What is the speed of sound in air if a tuning fork of frequency 170 Hz produces sound waves of wavelength 2 m?

<p>340 m/s (D)</p> Signup and view all the answers

When a sound wave has a period of 0.005 seconds, what is its frequency?

<p>200 Hz (A)</p> Signup and view all the answers

Flashcards

Wave (General Definition)

A disturbance that travels through a medium, transferring energy and momentum without transferring matter.

Mechanical Wave

A wave that requires a material medium (like air, water, or a solid) to propagate.

Amplitude (A)

The maximum displacement of a particle from its rest position as a wave passes through.

Wavelength (λ)

The distance between two successive points in a wave that are in the same phase of vibration.

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Period (T)

The time taken for one complete vibration of a particle in the medium.

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Electromagnetic Wave

A wave that does not require a material medium to propagate (e.g., light waves).

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Vibration

The back-and-forth motion of particles in a medium as a wave passes through.

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Pitch of Sound

The quality of sound that allows us to distinguish between high-pitched and low-pitched sounds. It depends on the frequency of vibration.

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Doppler Effect

The change in frequency of a wave as the source and observer move relative to each other. It's a result of the compression or stretching of the wavefronts.

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Source Velocity

The speed of the source relative to the medium (air in this case). It's usually denoted by 'vs'.

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Listener Velocity

The speed of the listener relative to the medium (air). It's usually denoted by 'vL'.

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Emitted Frequency

The frequency of sound waves emitted by the source. It's usually denoted by 'n0'.

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Detected Frequency

The frequency of sound waves detected by the listener. It's usually denoted by 'n'.

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Decibel (db) vs. Bel (bel)

Loudness expressed in decibels (db) is 10 times the loudness expressed in bels (bel).

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Formula for Sound Intensity Level (Ldb)

The formula for calculating sound intensity level (Ldb) in decibels is: Ldb = 10 * log10(I/I0), where I is the sound intensity and I0 is the reference intensity.

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Threshold of Hearing

The threshold of hearing corresponds to a sound intensity level of 0 dB.

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Sound Intensity at 10 dB

A sound intensity level of 10 dB corresponds to a sound intensity 10 times greater than the threshold of hearing.

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Sound Intensity at 20 dB

A sound intensity level of 20 dB corresponds to a sound intensity 100 times greater than the threshold of hearing.

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Sound Intensity and Ear Damage

A 160 dB sound can cause immediate ear damage.

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Logarithmic Nature of Decibel Scale

The decibel scale is logarithmic, meaning that a small increase in decibels corresponds to a large increase in sound intensity.

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Reverberation Time

The time taken for a sound to decay to one-millionth of its original intensity after the sound source is stopped. This is caused by multiple reflections within a closed space.

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Reverberation

The persistence of sound after the source has stopped, as a result of repeated reflections from walls, ceilings, and other surfaces.

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Echo

A sound reflected back to the listener with sufficient intensity and delay to be perceived as a separate sound.

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Speed of Sound

The distance a sound wave travels in a given time.

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Echelon Effect

The phenomenon where multiple echoes, arriving at slightly different times, create a distorted, uneven sound field, affecting sound clarity.

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Sound Absorption

The ability of a material to absorb sound energy, preventing reflections.

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Sound Reflection

The ability of a material to reflect sound energy back into the room, enhancing loudness.

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Acoustics

The science of designing spaces to ensure optimal sound transmission and reception, considering factors like reverberation, absorption, and reflection.

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Speed of Sound in Air

The speed of sound in air is calculated using a formula that takes into account the properties of air. This formula was initially proposed by Newton, but later corrected by Laplace.

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Laplace's Corrected Formula

The formula for speed of sound in air is v = √(γP/ρ), where v is the speed of sound, γ is the adiabatic index, P is the pressure, and ρ is the density of the air.

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Adiabatic Index (γ)

The adiabatic index (γ) is a ratio of specific heats for a gas, representing the change in heat capacity at constant pressure (Cp) and constant volume (Cv). It's a measure of how well a gas can store energy.

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Factors Affecting Speed of Sound

The speed of sound in air is affected by factors like temperature, humidity, and the presence of wind. These factors influence the density and properties of the air, which in turn affects the speed of sound waves.

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Sound in a Closed Box

An enclosed box of rigid walls with constant density air will have a pressure change when heated. The speed of sound in this enclosed air will be affected by this pressure change.

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Speed of Sound & Pressure Change

When the pressure of air enclosed in a rigid box changes, the speed of sound will change proportionally. This means if pressure increases, the speed of sound will increase.

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Speed of Sound & Temperature

The speed of sound is directly proportional to the square root of the absolute temperature. Doubling the absolute temperature will increase the speed of sound by the square root of 2.

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Speed of Sound & Altitude

The speed of sound changes based on altitude, with higher altitudes generally having lower speeds. This is due to changes in air density and temperature.

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Longitudinal Wave

A wave that travels through a medium and causes particles in the medium to oscillate in the same direction as the wave's motion. Examples include sound waves in air.

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Transverse Wave

A wave that travels through a medium and causes particles in the medium to oscillate perpendicular to the direction of the wave's motion. Examples include light waves and water waves.

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Newton's Formula for Speed of Sound

The speed of sound in a medium is determined by the medium's elasticity and density. The more elastic and less dense the medium, the faster the sound travels.

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Frequency of a Wave

The frequency of a wave is the number of complete cycles of the wave that pass a given point per second. It's measured in Hertz (Hz).

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Period of a Wave

The period of a wave is the time it takes for one complete cycle of the wave to pass a given point. It's the inverse of frequency.

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Study Notes

Sound Waves

  • Sound is a periodic wave
  • It requires a medium to travel
  • Mechanical waves: require a material medium for propagation
  • Electromagnetic waves: do not require a material medium
  • Matter waves: associated with moving objects

Common Wave Properties

  • Amplitude (A): Maximum displacement from rest position, measured in meters (m)
  • Wavelength (λ): Distance between two successive points in phase (e.g., two consecutive crests), measured in meters (m)
  • Period (T): Time taken for one complete vibration, measured in seconds (s)
  • Frequency (f): Number of vibrations per second, measured in Hertz (Hz), f = 1/T
  • Velocity (v): Speed of the wave, calculated as v = λ/T or v = fλ, measured in meters per second (m/s)
  • Phase and Phase Difference: Describes the relative position of points on a wave, expressed as angles

Types of Waves

  • Mechanical Waves: Require matter (solid, liquid, or gas) for propagation, such as sound waves, water waves, seismic waves
  • Electromagnetic Waves: Do not require matter for propagation, such as light waves, radio waves, X-rays
  • Matter Waves: Associated with any moving object, studied in quantum mechanics

Speed of Sound

  • Speed of sound depends on:
    • The properties of the medium
    • Temperature
  • Sound travels faster in solids than in liquids and faster in liquids than in gases.
  • Higher temperatures generally lead to a faster speed of sound.
  • Newton's formula: v = √(E/ρ), E is the elasticity and ρ is density
  • Laplace's formula: v = √(γP/ρ), γ is the adiabatic index, P is pressure

Doppler Effect

  • The apparent change in frequency of a wave (sound or light) due to relative motion between the source and observer
  • Increasing relative velocity between source and observer increases observed frequency.
  • Decreasing relative velocity between source and observer decreases observed frequency.
  • Applicable for both sound and light waves, but with different implications.

Sound Quality and Loudness

  • Pitch: The perceived highness or lowness of a sound, related to frequency

  • Timbre: The quality or tone of a sound, relating to the combination of harmonics and fundamental frequencies

  • Loudness: The perceived intensity of a sound, related to its amplitude (energy), measured in decibels (dB)

  • Loudness is a logarithmic scale, meaning a doubling of intensity corresponds to an increase of about 3dB.

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