Acoustic Principles and Sound Waves Quiz

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Questions and Answers

What characterizes rarefactions in sound waves?

  • Regions with no particle motion
  • Regions with maximum energy transfer
  • Regions of higher particle density and pressure
  • Regions of lower particle density and lower pressure (correct)

Which term describes the time required to complete a single cycle of a sound wave?

  • Frequency
  • Wavelength
  • Amplitude
  • Period (correct)

Which acoustic variable indicates the concentration of force in a specific area?

  • Pressure (correct)
  • Frequency
  • Distance
  • Density

What happens to sound waves when they are in phase?

<p>They amplify each other (C)</p> Signup and view all the answers

What does the frequency of a sound wave measure?

<p>The number of cycles occurring in one second (B)</p> Signup and view all the answers

Which acoustic parameter measures the maximum deviation from the average value of an acoustic variable?

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

What does propagation speed refer to in sound waves?

<p>The rate at which sound travels through a medium (C)</p> Signup and view all the answers

What is the correct relationship between the amplitude and intensity of a sound wave?

<p>Amplitude directly affects intensity (A)</p> Signup and view all the answers

What does the x-axis represent in an m-mode ultrasound through echocardiography?

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

Which statement best describes a direct relationship?

<p>Both variables change in the same direction. (B)</p> Signup and view all the answers

If factor A is tripled, how does this impact factor B if they are reciprocals?

<p>Factor B will be reduced to one-third of its original value. (D)</p> Signup and view all the answers

Which of the following is an example of an inverse relationship?

<p>Car size and gas mileage. (D)</p> Signup and view all the answers

In a reciprocal relationship, what occurs when one factor is increased by 8 times?

<p>The other factor will decrease to 1/8 of its value. (A)</p> Signup and view all the answers

What is represented on the y-axis of a spectral Doppler tracing?

<p>Velocity of blood (D)</p> Signup and view all the answers

Which of the following is a true statement about reciprocal relationships?

<p>When one factor increases, the other decreases proportionally. (B)</p> Signup and view all the answers

Which example best illustrates an unrelated relationship?

<p>Hair color and intelligence (D)</p> Signup and view all the answers

What happens to factor C when factor D, a reciprocal, is doubled?

<p>Factor C is halved (D)</p> Signup and view all the answers

Why is it necessary to include units when stating numerical values?

<p>Units provide clarity and context (A)</p> Signup and view all the answers

Which prefix corresponds to a factor of 10^-3 in the metric system?

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

What is the scientific notation for the number 0.00000123?

<p>1.23 x 10^-6 (D)</p> Signup and view all the answers

Which of the following units is a base metric unit?

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

How should the number 5 kilometers be expressed in millimeters?

<p>500,000 mm (D)</p> Signup and view all the answers

What is the purpose of using scientific notation?

<p>To simplify the understanding of large numbers (B)</p> Signup and view all the answers

What does the acronym 'm' represent in the metric system?

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

What is the wavelength of a sound wave with a frequency of 10 MHz in soft tissue?

<p>0.154 mm (C)</p> Signup and view all the answers

If the frequency of a sound wave in soft tissue is 1 MHz, what is its wavelength?

<p>1.54 mm (C)</p> Signup and view all the answers

Which of the following statements about wavelength and frequency is correct?

<p>Wavelength increases as frequency decreases. (D)</p> Signup and view all the answers

How can propagation speed be calculated if the distance traveled by sound and the time taken are known?

<p>Divide distance by time. (B)</p> Signup and view all the answers

Why does high-frequency sound provide better resolution in imaging?

<p>High frequency waves are associated with shorter wavelengths. (D)</p> Signup and view all the answers

What determines the propagation speed of sound in a medium?

<p>The properties of the medium only. (D)</p> Signup and view all the answers

What happens to the wavelength if the frequency of sound in soft tissue increases?

<p>It decreases. (D)</p> Signup and view all the answers

What is the propagation speed of sound in MRI through soft tissue if a sound wave travels 20 cm in 4 seconds?

<p>8 cm/s (C)</p> Signup and view all the answers

What is the unit of measurement for power?

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

If the amplitude of a sound wave is increased by a factor of 3, how does the power change?

<p>Increases by a factor of 9 (A)</p> Signup and view all the answers

What happens to power when the amplitude is decreased by half?

<p>Power is decreased to one-fourth (B)</p> Signup and view all the answers

Which equation describes the relationship between intensity, power, and beam area?

<p>Intensity = power ÷ beam area (C)</p> Signup and view all the answers

If the power in a sound beam is doubled while the beam area remains constant, how does the intensity change?

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

How is intensity related to amplitude?

<p>Intensity is directly proportional to amplitude squared (C)</p> Signup and view all the answers

What is a common typical value for ultrasound intensity?

<p>0.001 - 100 watts/cm² (D)</p> Signup and view all the answers

What does intensity describe in a sound wave?

<p>The concentration of energy in the sound beam (B)</p> Signup and view all the answers

What occurs when two waves overlap at the same location and time?

<p>They interfere to form a new wave. (B)</p> Signup and view all the answers

When does constructive interference occur?

<p>When the amplitude of the new wave is greater than that of the original waves. (A)</p> Signup and view all the answers

How does frequency relate to the cycles of a wave?

<p>Frequency measures how often cycles occur in a wave. (D)</p> Signup and view all the answers

What is a primary property of waves of different frequencies at the moment of interference?

<p>The interference can be both constructive and destructive. (D)</p> Signup and view all the answers

What determines whether a parameter of a sound wave can be changed during ultrasound imaging?

<p>The transducer and ultrasound system used. (B)</p> Signup and view all the answers

Which of the following statements about the speed of sound in soft tissue is true?

<p>It is consistently 1540 m/s. (C)</p> Signup and view all the answers

What aspect can influence the biologic effects of sound waves?

<p>The frequency of the sound wave. (B)</p> Signup and view all the answers

Which acoustic parameter typically cannot be changed during the operation of a transducer?

<p>Speed of sound in the medium. (D)</p> Signup and view all the answers

Flashcards

Graph

A visual representation of the relationship between two variables, usually plotted on a horizontal (x-axis) and vertical (y-axis).

X-axis

The horizontal axis of a graph, which represents the independent variable.

Y-axis

The vertical axis of a graph, which represents the dependent variable.

Direct Relationship

A relationship between two variables where an increase in one variable leads to an increase in the other, and vice versa.

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Inverse Relationship

A relationship between two variables where an increase in one variable leads to a decrease in the other, and vice versa.

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Reciprocal Relationship

A specific type of inverse relationship where the product of two numbers is always 1.

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Reciprocals

The product of two reciprocal numbers is always 1.

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Reciprocal Relationship: Proportional Change

If one factor in a reciprocal relationship changes, the other factor changes proportionally in the opposite direction. For example, if factor A doubles, factor B halves, and vice versa.

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Sound

A mechanical, longitudinal wave that travels through a medium by compressing and expanding particles.

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Compressions

Regions of higher particle density and higher pressure in a sound wave.

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Rarefactions

Regions of lower particle density and lower pressure in a sound wave.

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Acoustic Variables

Changes in pressure, density, and particle motion in a medium caused by a sound wave.

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Period

The time it takes for one complete cycle of a sound wave.

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Frequency

The number of cycles of a sound wave that occur in one second.

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Wavelength

The distance between two consecutive peaks or troughs in a sound wave.

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Propagation Speed

The rate at which sound travels through a medium.

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In Phase

When two waves are perfectly aligned, their peaks and troughs coincide.

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Out of Phase

When two waves are completely out of alignment, their peaks coincide with the troughs of the other wave.

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Interference

The process of two waves combining to form a new wave.

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Constructive Interference

The amplitude of the resulting wave is greater than the amplitude of the original waves.

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Destructive Interference

The amplitude of the resulting wave is smaller than the amplitude of the original waves.

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Biologic Effects/Bioeffects

The effects of the sound wave on the biologic tissue it passes through.

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Acoustic Propagation Properties

The effects of the medium on the sound wave.

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What are reciprocal factors?

Two factors are reciprocals if their product is equal to 1. For example, 2 and 1/2 are reciprocals.

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If factor D is doubled, what happens to factor C?

If factor D is doubled, factor C will be halved. This is because reciprocals have an inverse relationship; if one gets larger, the other gets smaller by the same factor.

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Why are units important in scientific measurements?

Units provide context to numerical values. Without units, a number lacks meaning. For example, '6' is not meaningful until you specify '6 inches', '6 feet', or '6 miles'.

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What is scientific notation?

Scientific notation is a way to express very large or very small numbers using powers of 10. It simplifies writing and understanding these numbers. Example: 1,000,000 can be written as 1.0 x 10^6.

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Why is the metric system used in science?

The metric system is a standard system of measurement based on units of 10. It makes conversions easier and more standardized.

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What are the common prefixes in the metric system?

The metric system uses prefixes to denote multiples and fractions of a base unit. Common prefixes include: kilo (k), milli (m), centi (c), and micro (µ), representing 1000, 0.001, 0.01, and 0.000001, respectively.

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How do you convert units in the metric system?

Converting units within the metric system is simple by understanding the relationship between prefixes. If moving to a smaller prefix, move the decimal to the right; if moving to a larger prefix, move the decimal to the left.

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How do you determine the number of decimal places to move during metric conversions?

The number of spaces between the prefixes on the metric scale determines the number of decimal places to move. For example, converting 8 meters (m) to millimeters (mm) requires moving 3 spaces to the right, resulting in 8000 mm.

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Power

The rate at which energy is transferred.

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Watts (W)

Units of measurement for power in ultrasound.

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Intensity

The 'bigness' of a sound wave, measured in units of watts per square centimeter (W/cm²).

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Power is Proportional to Amplitude Squared

The relationship between power and amplitude squared.

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Intensity

The amount of power distributed over a given area.

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Beam Area

The area over which power is distributed.

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Intensity ∝ Power

Intensity is directly proportional to power.

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Intensity ∝ Amplitude²

Intensity is proportional to the square of the amplitude.

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Higher Resolution

Shorter wavelength sound waves produce images with greater detail, improving the ability to differentiate objects.

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Relationship between Frequency and Wavelength

The relationship between frequency and wavelength is inversely proportional. This means that if the frequency of a sound wave increases, the wavelength decreases, and vice-versa.

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Wavelength in Soft Tissue

In soft tissue, sound with a frequency of 1MHz has a wavelength of 1.54 mm. To find the wavelength of a sound wave in soft tissue, divide 1.54mm by the frequency in MHz.

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Speed of Sound

The speed of sound is determined only by the medium through which it travels. All sound will travel through a given medium at the same speed, regardless of frequency or any other parameter.

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Propagation Speed Formula

Propagation speed can be calculated using the formula: Propagation Speed = frequency x wavelength

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Calculating Propagation Speed

If you are given frequency and wavelength, you can calculate propagation speed. You can also calculate propagation speed using distance traveled and time.

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Study Notes

Ultrasound Physics: Basics

  • Ultrasound physics is the study of the physical principles of ultrasound.
  • Graphs are used to display relationships between variables in physics and ultrasound.
  • The horizontal axis (x-axis) typically represents time and the vertical axis (y-axis) represents velocity.
  • In spectral Doppler, the x-axis represents time and the y-axis represents blood velocity.
  • M-mode ultrasound uses the x-axis to represent time and the y-axis to represent depth of reflectors.

Relationships in Ultrasound Physics

  • Relationships describe the variables' association or proportionality.
  • Two items are related or proportional when one item's change affects the other.
  • Unrelated items do not have a relationship or dependency.
  • Example of unrelated items: Hair color and intelligence.
  • Example of directly related items: Clothing size and age of a child. An example of directly proportional variables includes the relationship between the age of a tree and its size.
  • Example of indirectly/inversely related items: Golf score and skills. Another example includes a car's gas mileage and its size-- larger cars typically have lower gas mileage.
  • Example of reciprocal relationships: two numbers multiplied together result in one (1).
  • Example of reciprocals: 2 and 1/2 are reciprocals; 1 and 1/10th are reciprocals; 1/100,000th and 100,000 are reciprocals.

Units and Presentation

  • Numerical values must include units.
  • Units give meaning to the numerical values.
  • Examples of units: inches, feet, miles.
  • A unit must be included for the numerical value to be meaningful.
  • Any technically correct unit can be used.
  • Example: 6 inches tall, 6 feet tall, 6 miles.
  • Numerical values must have units (unless percentage or otherwise noted as a unitless number).

Scientific Notation

  • Scientific notation simplifies very large or small numbers.
  • Example: 0.000000124=1.24 x 10⁻⁷; 1,000,000 = 1.0 x 10⁶.
  • It is a shorthand way to express very large or very small numbers.
  • Counting zeros is common when expressing numbers in scientific notation.

The Metric System

  • The metric system is used to express measurements in science.
  • Units of measurement use prefixes to indicate multiples of ten.
  • Understanding metric conversions is crucial for ultrasound physics.
  • A helpful memory tool is King Henry Doesn't Usually Drink Chocolate Milk, used to remember the order of the prefixes (kilo, hecto, deca, unit, deci, centi, milli).

Converting with Metrics

  • Number line conversions are common.
  • Determining the number of spaces between prefixes.
  • Moving the decimal point based on the calculation helps determine the equivalent value.
  • Using the number line can help determine how many spaces exist between the prefix that is present in the number and the prefix to which conversion is being performed.

Ultrasound Physics: Sound

  • Sound is a type of wave that carries energy.
  • Sound waves must travel through a medium, they cannot travel through a vacuum.
  • Sound waves travel in straight lines until they encounter something that changes their direction (like a wall).
  • Sound waves are also called acoustic waves.

Properties of Sound Waves

  • Sound waves move through different substances or mediums.
  • Sound cannot travel through a vacuum—a space that lacks any medium.
  • Sound waves travel in straight lines until they interact with objects, materials, or forces that cause them to change their pathway.

Types of Waves

  • Transverse waves—particles vibrate perpendicular to wave direction.
  • Longitudinal waves—particles vibrate parallel to wave direction.
  • Mechanical waves are characterized by the movement of particles in a medium, vibrating back and forth.
  • Sound waves are mechanical and longitudinal waves.

Acoustic Variables and Parameters

  • Acoustic variables—describes changes in 3 physical characteristics: pressure, density and distance/particle motion, that occur when sound travels through a medium.
  • Acoustic parameters—describe features of a sound wave: period, frequency, amplitude, power, intensity, wavelength, propagation speed.
  • This is important for understanding acoustic properties of sound waves.

Phase Relationships

  • Waves can be in phase (synchronized peaks and troughs) or out of phase.
  • Interference—occurs when two waves overlap at the same location and time, producing either constructive or destructive interference.
  • Constructive interference results in a larger amplitude than the original waves.
  • Destructive interference result in a smaller amplitude than the original waves.

Waves of Different Frequencies

  • Frequency—the number of cycles in one second.
  • When two waves of different frequencies interfere, the interference can be constructive or destructive at different moments in time.

Acoustic Propagation Properties

  • Acoustic Propagation Properties—examine the interaction between a sound wave and the medium through which the wave travels.

Describing Sound Waves and Acoustic Parameters

  • Acoustic Parameters—describe features of sound waves (period, frequency, amplitude, power, intensity, wavelength, propagation speed).
  • Knowing the units and how parameters are related is important to understanding ultrasound physics.

The Sound Source and Medium

  • Sound source relates to the ultrasound system and transducer, which establishes the physical features of sound.
  • The quantity or level of some parameters is established by the ultrasound system.
  • Some of these levels can be changed by turning a knob on the machine, others cannot.
  • The medium is the material through which the sound travels (soft tissue in diagnostic medical sonography).
  • The speed of sound in soft tissue is 1540 m/s. This can also be represented as 1.54 km/s (kilometers per second) or 1.54 mm/µs (millimeters per microsecond).

Acoustic Variables

  • Acoustic variables—pressure, density, and particle motion—describe the physical characteristics of sound waves.

Other "Bigness" Parameters (Amplitude, Power, Intensity)

  • Describing the size, strength or related characteristics of a sound wave.
  • amplitude—the difference between the average value and the maximum or minimum value of an acoustic variable; describing the "bigness" or height of a sound wave.
  • Power—the rate of energy transfer.
  • Intensity—describes how the power is distributed in a sound beam.

Wavelength

  • Wavelength (L) describes the distance of one sound wave cycle.
  • Wavelength (expressed in mm) is determined by the sound source and the medium through which it travels; it is not typically changed by the sonographer.
  • Wavelength and frequency have an inverse relationship.

Propagation Speed

  • Propagation speed—the rate at which sound travels through a given medium.

  • Propagation speed is a constant when moving through soft tissue.

  • Speed of sound is related to the stiffness and density of a medium. Stiffness is a medium's ability to be moved. Density is a medium's weight (directly related to stiffness and greater related to a medium's weight).

  • Bulk modulus is the same as stiffness.

  • Speed of sound in various mediums or tissues (different speeds).

  • Example of speed of sound in different types of tissues (Example: Air—330 m/s; Lung—300-1200 m/s; Fat—1450 m/s; Soft tissue—1540 m/s; Tendon—1850 m/s; Bone—2000-4000 m/s.

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