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Questions and Answers
What two material properties primarily determine the speed of sound in a medium?
What two material properties primarily determine the speed of sound in a medium?
What type of wave is a sound wave classified as?
What type of wave is a sound wave classified as?
According to Fourier's Theorem, how can complex sounds be represented?
According to Fourier's Theorem, how can complex sounds be represented?
What phenomenon occurs when two coherent waves interact and combine their effects?
What phenomenon occurs when two coherent waves interact and combine their effects?
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What is the result of constructive interference between two waves?
What is the result of constructive interference between two waves?
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What happens during destructive interference between two waves?
What happens during destructive interference between two waves?
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When waves cross at a point, what principle describes the resulting displacement?
When waves cross at a point, what principle describes the resulting displacement?
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What occurs when a wave encounters the end of a medium?
What occurs when a wave encounters the end of a medium?
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What is the frequency of the oscillator that completes 40.0 vibrations in 30.0 seconds?
What is the frequency of the oscillator that completes 40.0 vibrations in 30.0 seconds?
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How fast does the maximum of the wave travel along the rope?
How fast does the maximum of the wave travel along the rope?
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What is the wavelength of the wave if its frequency is 1.33 Hz and wave speed is 0.425 m/s?
What is the wavelength of the wave if its frequency is 1.33 Hz and wave speed is 0.425 m/s?
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What type of wave is sound classified as?
What type of wave is sound classified as?
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What sequence describes the transformation of sound energy in the human ear?
What sequence describes the transformation of sound energy in the human ear?
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What must sound waves propagate through?
What must sound waves propagate through?
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How do sound waves create pressure variations?
How do sound waves create pressure variations?
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Which of the following is NOT a form of energy involved in the hearing process?
Which of the following is NOT a form of energy involved in the hearing process?
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What occurs when sound waves pass through an opening or around a barrier?
What occurs when sound waves pass through an opening or around a barrier?
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How does the sharpness of diffraction change with wavelength?
How does the sharpness of diffraction change with wavelength?
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Which of the following statements about reflection of sound is true?
Which of the following statements about reflection of sound is true?
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What phenomenon occurs when sound waves change speed as they enter a new medium at an angle?
What phenomenon occurs when sound waves change speed as they enter a new medium at an angle?
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Which law of reflection states that the incident angle equals the reflected angle?
Which law of reflection states that the incident angle equals the reflected angle?
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How does temperature affect the speed of sound in air?
How does temperature affect the speed of sound in air?
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What happens to a sound wave at the boundary between two different mediums?
What happens to a sound wave at the boundary between two different mediums?
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What is a common effect of diffracted sound waves on their quality?
What is a common effect of diffracted sound waves on their quality?
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What does Doppler imaging primarily assess?
What does Doppler imaging primarily assess?
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At what intensity range can ultrasound be used to shatter gallstones?
At what intensity range can ultrasound be used to shatter gallstones?
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What is one of the effects of ultrasound treatment on tense muscles?
What is one of the effects of ultrasound treatment on tense muscles?
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How does ultrasonic cavitation help in fat cell reduction?
How does ultrasonic cavitation help in fat cell reduction?
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Which of the following is NOT a use of ultrasound in interventional radiology?
Which of the following is NOT a use of ultrasound in interventional radiology?
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What occurs when ultrasound waves cross a tissue boundary at an angle?
What occurs when ultrasound waves cross a tissue boundary at an angle?
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What is the likely outcome when an ultrasound wave interacts with small-scale variations in acoustic properties within organs?
What is the likely outcome when an ultrasound wave interacts with small-scale variations in acoustic properties within organs?
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Which process primarily contributes to energy loss in soft tissues during ultrasound propagation?
Which process primarily contributes to energy loss in soft tissues during ultrasound propagation?
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What is true about the angle of reflection when ultrasound waves encounter a smooth, flat surface?
What is true about the angle of reflection when ultrasound waves encounter a smooth, flat surface?
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What does attenuation in ultrasound refer to?
What does attenuation in ultrasound refer to?
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Which law relates the angles of incidence and refraction for ultrasound waves crossing a boundary?
Which law relates the angles of incidence and refraction for ultrasound waves crossing a boundary?
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What is the relationship between frequency and attenuation as it pertains to ultrasound?
What is the relationship between frequency and attenuation as it pertains to ultrasound?
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How do ultrasound waves behave when they encounter tissue interfaces with different acoustic properties?
How do ultrasound waves behave when they encounter tissue interfaces with different acoustic properties?
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What process describes how ultrasound waves spread out as they move away from the source?
What process describes how ultrasound waves spread out as they move away from the source?
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What physical characteristic of tissue influences how much ultrasound energy is absorbed?
What physical characteristic of tissue influences how much ultrasound energy is absorbed?
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Which phenomenon occurs when waves catch up with each other as the source of sound moves toward the listener?
Which phenomenon occurs when waves catch up with each other as the source of sound moves toward the listener?
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An ultrasound wave reflecting off a stationary blood cell results in what frequency shift?
An ultrasound wave reflecting off a stationary blood cell results in what frequency shift?
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What happens to the wavelength of an ultrasound wave when it reflects off a blood cell moving away from the probe?
What happens to the wavelength of an ultrasound wave when it reflects off a blood cell moving away from the probe?
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What determines the Doppler shift in frequency when using ultrasound?
What determines the Doppler shift in frequency when using ultrasound?
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How is the velocity of sound in tissue related to the Doppler shift?
How is the velocity of sound in tissue related to the Doppler shift?
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Which of the following is NOT a step in the interaction of ultrasound with tissue?
Which of the following is NOT a step in the interaction of ultrasound with tissue?
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Study Notes
Sound Waves
- Sound is a longitudinal mechanical wave that propagates through a medium.
- A wave is a vibration or disturbance in space.
- A medium is the substance that all sound waves travel through and need to move.
- Sound is a sensation created in the human brain in response to pressure fluctuations in the air.
- As an object moves through air, the air near the object is disturbed.
- The disturbances are transmitted through the air at the speed of sound.
Types of Waves
- A wave is a form of energy transfer.
- Mechanical waves need a medium to propagate.
- Water
- Sound
- Electromagnetic waves do not need a medium to propagate.
- X-rays
- Radio waves
- Light
Direction of Propagation
- Waves can be categorized into:
- Transverse waves: The particles of the medium oscillate perpendicular to the motion of the wave.
- Examples: Water waves, electromagnetic waves traveling in a medium.
- Longitudinal waves: The particles of the medium oscillate parallel to the motion of the wave.
- Examples: Sound waves.
- Two main sections of longitudinal waves:
- Compression: Area of high molecular density and pressure.
- Rarefaction: An area of low molecular density and pressure.
- Transverse waves: The particles of the medium oscillate perpendicular to the motion of the wave.
Properties of Waves
- Wavelength (λ): Distance between identical points on consecutive waves.
- Amplitude (A): Maximal distance that a particle in the medium is displaced from its equilibrium position.
- Velocity (v): Velocity with which the disturbance propagates through the medium.
- Period (T): Time it takes for two successive maxima (or minima) to pass through the same point in the medium.
- Frequency (f): Inverse of the period (f = 1/T). Unit: Hertz (Hz).
- Speed = wavelength x frequency
Wave Speed
- Wave speed equals the wavelength multiplied by the frequency.
- Wave speed is measured in meters/second.
Example Calculation
- Formulas showing how to calculate wavelength and wave speed are presented.
Sound Waves (continued)
- Sound is a longitudinal wave.
- Sound needs a medium to propagate.
- Particles move in a direction parallel to the direction of wave propagation.
- Sound is a mechanical disturbance generated by the passage of energy through a medium.
Frequency Range of Sound Waves
- The human ear does not respond uniformly to sounds of all frequencies.
- The human ear can hear sounds with frequencies between 20Hz and 20kHz.
- Different frequency ranges are utilized for different applications. (e.g., infrasound, ultrasound)
Power and Intensity of a Sound Wave
- Traveling sound waves transport energy from one point to another.
- The rate at which the source produces energy is called power (measured in Watts, W).
- Intensity (I): Power per unit area (Measured in W/m² or decibels, dB).
- Power and intensity increase with pressure (p).
Pitch of a Sound Wave
- The sensation of frequency is referred to as pitch.
- High pitch corresponds to high frequency sound waves, vice versa.
- The relationship between pitch and frequency are explained
Loudness vs. Pitch
- Loudness depends mainly on wave amplitude.
- Pitch depends mainly on frequency.
Wavelengths of Sound Waves
- Shorter wavelengths correspond to higher frequencies and higher pitch.
Noise-Induced Hearing Loss (NIHL)
- Noise-induced hearing loss occurs when structures in the inner ear become damaged due to loud noises.
- Loud noises primarily affect the cochlea
Energy and Power
- The speed at which a sound wave travels is dependent on the density and elasticity of the medium.
- Speed is in meters per second
- Density is mass per unit volume
- Elasticity is the stiffness or flexibility of the material.
Wave Speed (continued)
- The relationship between wave speed, density, and elasticity is explored.
- Medium properties affect speed
Complex Sounds
- Several single frequencies can combine to create complex sound.
- Complex sounds can be broken down into individual frequencies.
- Fourier's Theorem: Repetitive waves can be reproduced by combining simple sine waves with different frequencies and amplitudes.
Principle of Superposition
- When two waves are in the same place at the same time, they superimpose
- The addition of their displacements is how their amplitudes are added together vectorially
Superposition of Waves
- Interference is a phenomenon where two coherent waves combine by adding their intensities or displacements considered with their phase difference.
- Constructive interference occurs when waves overlap in a way to create a larger wave.
- Destructive interference occurs when waves overlap to cancel each other out.
Interaction of Waves with Matter
- Waves continue to interact when they encounter the end of the medium.
- Involves the behavior of waves (i.e. transmission, reflection, scattering, diffraction and refraction).
- Examples of interactions, including interactions of sound and light waves (with different mediums)
Diffraction
- Diffraction is a change in direction of waves as they pass through an opening or around a barrier.
- The amount of diffraction depends on wavelength.
- Increased wavelengths increase the bending
Reflection
- When a wave reaches the boundary between mediums, part of the wave reflects and part of it transmits across the boundary.
- The reflection amount depends on the difference of the two mediums.
- Laws of reflection are given:
- Incident ray, reflected ray, and the normal ray all lie in the same plane.
- Incident angle = reflected angle
Principles of Sound Waves
- Speech occurs due to vocal cord vibrations creating vibrations in the air that propagate to the surroundings.
- Objects hit by sound waves will vibrate and generate new waves.
Refraction
- When sound waves change mediums at angles other than 90 degrees, the sound bends from its original direction.
- Speed of sound is affected by changes in temperature.
- The speed also increases with warmer temperatures due to increased particle vibrations.
Standing vs. Travelling Waves
- Standing wave: Forms when two waves with equal amplitude and frequency travel in opposite directions.
- Traveling wave: A wave that moves, either longitudinal or transverse.
Harmonics - Closed Pipe
- A closed pipe has one open end, and one closed end.
- Sounds in closed pipes occur only at odd harmonics.
- Fundamental frequency of a closed pipe= v/4L
- v = the speed of sound
Harmonics - Open Pipe
- Open pipes occur when both ends are open.
- Sounds in open pipes occur at the fundamental and all harmonics.
- Fundamental frequency= v/2L
- v=the speed of sound
Doppler Effect
- The Doppler effect is the shift in frequency caused by motion.
- Shift is directly related to variations in frequency, angle of incidence, and the velocity of the wave in the medium.
- The frequency heard varies if the source of the sound is moving relative to the listener.
Mach Number
- The ratio of the source object speed to the speed of sound.
- Determines the presence of shock waves.
- Number was named after Ernst Mach, a 19th-century scientist who studied air dynamics.
Application of Sound
- Sound can be reflected and refracted like other waves.
- Reflection and refractions of sound allow for applications to finding distances (like using echo and sonar)
- Includes using stethoscopes, ultrasound.
Ultrasound (continued)
- Ultrasound uses high-frequency sound waves (unaudible to humans.)
- Ultrasound frequencies used for imaging are typically 2–15 MHz.
- Sound velocity and attenuation are dependent on the medium properties
- Ultrasound can generate echoes off objects
Ultrasound Frequencies for Imaging
- Various frequency ranges are used for different types of imaging.
- These frequencies relate to the penetration depths and resolution needed for the imaging applications.
Ultrasound Propagation
- Reflection: Waves bounce back when encountering tissue interfaces with different acoustic properties.
- Refraction: Sound waves bend when passing through different tissues.
- Change in speed
- Oblique angles
- Attenuation: Waves lose energy as they travel through certain tissues.
- Factors include absorption and scattering.
Scattering
- Reflection occurs at large interfaces, like between organs, due to the varying acoustic impedance of different biological tissues
- Within most organs, there are many small variations in acoustic properties that scatter sound
- Scattering interacts with the medium in order to send sound in different directions (but it is a weak interaction compared to reflection)
Refraction
- Deflection
- Angle of incidence and the change in the speed of sound in the tissue matter
- Snell's law (used in refracting situations)
Attenuation and Absorption
- Ultrasound waves lose intensity as they travel through the medium.
- Absorbtion is the way energy is converted to heat due to sound interactions with the medium
- Includes scattering, diffraction, and absorption
- Decreases linearly with frequency
Diffraction
- The ultrasound waves diverge or spread out as it moves away from the source.
- Determined by the relationship between the width of the source and the wavelength of the wave.
Interaction of Ultrasound with Tissue
- Emit high-frequency ultrasound waves (to image the body).
- Waves reflect off tissue interfaces based on density and acoustic impedance.
- Some waves are absorbed.
- Remaining waves transmit through.
- Analyze returning echoes.
Doppler Effect with Ultrasound
- The Doppler effect refers to changes in received frequency between emitted ultrasound waves and detected echoes if the ultrasound source or the object are moving.
- The observed shift in frequency varies depending on whether the object is moving toward or away from the transducer. -Movement speed affects the frequency.
Doppler Imaging with Ultrasound
- Doppler imaging uses both normal and Doppler imaging to image blood flow.
- Healthy artery flows are smooth in the similar direction.
Ultrasound in Medical Therapy
- Ultrasound can be used to treat cancers, pulverize tissue in surgical procedures, break down gallstones, and reduce pain from injuries, etc.
Ultrasound in Interventional Radiology
- Ultrasound imaging can be used for musculoskeletal pathology.
- Ultrasound imaging helps guide medical procedures like aspiration, biopsies, and drug injection.
Ultrasonic Cavitation
- Uses high-frequency ultrasound technology to break down fat cells.
- Apply pressure on fat cells with ultrasonic vibrations.
- The pressure creates vibrations that break fat cells into a liquid form.
- The body removes the liquid fat as waste through urine.
Application of Sound - Stethoscopes
- Stethoscopes collect sounds (like heartbeats) from the body and transmit them through tubes and to the physician's ears.
- The sound travels through the tube by reflections.
- Chest pieces and earpieces transmit the sound of various intensity levels
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Description
Explore the fascinating world of sound waves and their properties in this quiz. Test your knowledge on key concepts such as the speed of sound, wave interference, and sound propagation through different mediums. Perfect for students of physics looking to deepen their understanding of acoustics.