A 2.50 MHz sound wave travels through a pregnant woman's abdomen and is reflected from the fetal heart wall of her unborn baby. The heart wall is moving toward the sound receiver as the heart beats. The reflected sound is then mixed with the transmitted sound, and 78 beats per second are detected. The speed of sound in body tissue is 1500 m/s. Part A Calculate the speed of the fetal heart wall at the instant this measurement is made.

Answers

Answer 1

Answer:

the speed of the fetal heart wall at the instant is 0.0325 m/s

Explanation:

Given the data in the question;

f₀ = 2.50 MHz = 1.80 × 10⁶ Hz

f[tex]_B[/tex]  = 78 beat per sec ( Hz )

V = 1500 m/s

the speed of the fetal heart wall at the instant this measurement is made = ?

now, if v is the magnitude of hart wall speed, V is speed of sound and f[tex]_h[/tex] the frequency the heart receives( and reflects), f₀ is original frequency and f, is reflected back;

so

heart is moving observer and device is stationary source

f[tex]_h[/tex] = ((V + v)/v )f₀

Heart is moving source and device is stationary observer

f' = (V/(V-v ))f[tex]_h[/tex]

Beats

f[tex]_B[/tex] = f₀ - f' = f₀ - f₀( V+v / V-v ) = f₀( 2v / V-v )

so we solve for v

v = V( f[tex]_B[/tex] / ( 2f₀ + f[tex]_B[/tex] )

so we substitute

v = 1500 ( 78 / ( (2×1.80 × 10⁶) + 78 )

v = 1500 ( 78 / ( 3,600,000 + 78 )

v = 1500 ( 78 / 3,600,078 )

v = 1500 ( 2.1666 × 10⁻⁵ )

v = 0.0325 m/s

Therefore,  the speed of the fetal heart wall at the instant is 0.0325 m/s


Related Questions

a shiny object reflects light. will a shiny object make a shadow when light shine on it? explain your answer​

Answers

Answer:

yes I think it is possible

Yes the shiny object will surely make a shadow if there is a source of light and there is a screen because when the path is obstruct by an opaque object a shadow is formed. The shiny object will reflect light but wont allow light to pass through it which makes it an opaque object and it produces a shadow.

A 75 kg man falls off his ladder and hangs motionless from the ceiling by a cord. Determine the net force on the man and Find the tension in the cord. (don't forget units)


PLEASE HELP MEEEEEEE PLEASE

Answers

Answer:

Explanation:

The net force on the man is the sum of all the forces acting on him. In this case, the only force acting on the man is the force of gravity, which is given by:

F = m*g

= 75 kg * 9.8 m/s^2

= 735 N

where m is the mass of the man, g is the acceleration due to gravity, and F is the force of gravity.

Since the man is motionless, the net force on him must be zero. Therefore, the tension in the cord must be equal and opposite to the force of gravity:

T = -F

= -735 N

The tension in the cord is therefore T = -735 N. The negative sign indicates that the tension is directed downward, opposite to the direction of the force of gravity.

Net Force on Man = 735 N (downward)

Tension in Cord = 735 N (upward)

Explanation: The net force on the man is equal to his weight (75 kg x 9.81 m/s2 = 735.75 N).

This force is directed downward. To keep the man in equilibrium, the tension in the cord must be equal in magnitude, but opposite in direction, so the tension is also 735.75 N, but directed upward.

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xvii. Heat travels from one end of an iron rod to the other end by
A Convection
B Radiation
C Conduction
D Vibration
xix. Which one of the following statements about heat transfer is incorrect?
A Convection can take place in a vacuum.
B Convection can take place in a liquid.
C A convection current can be present in gas.
D Sun heats up the earth by convection.
xx. When matters changes state, its temperature:
A Increases
B Decreases
C Changes to the temperature of surrounding.
D Remains same.

Answers

Heat travels from one end of an iron rod to the other end by conduction. The correct option is C.

The incorrect statement about heat transfer is convection can take place in a vacuum. The correct option is C.

When matter changes state, its temperature remains the same. The correct option is D.

What is heat transfer?

Heat transfer is the process by which heat energy is transferred from one point t another.

Heat energy is always transferred from hotter to colder bodies.

The processes of heat transfer include:

conduction - heat transfer without actual movement of moleculesconvection - heat trasfer 5hat involves molecular movementradiation - heat transfer without a material medium or through space.

Transfer of heat results in an increase in temperature as well as a change of state.

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If a wavelength of a wave increases, but the wave speed remained the same, would the frequency increase, decrease or stay the same?

Answers

If a wavelength of a wave increases, but the wave speed remained the same, the frequency will decrease (option B).

What is wavelength?

Wavelength is the length of a single cycle of a wave, as measured by the distance between one peak or trough of a wave and the next.

The wavelength is often designated in physics as λ, and corresponds to the velocity of the wave divided by its frequency as follows:

λ = v/f

According to the above equation, the wavelength is inversely proportional to the frequency of the wave, hence, as one increases, the other decreases and vice versa.

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(i) When an image of an object is formed by a converging lens, which of the following statements is always true? More than one statement may be correct. (Select all that apply.) The image is virtual. The image is real. The image is upright. The image is inverted.None of those statements is always true.

Answers

An item put in front of a diverging lens will always seem virtual and upright. Knowing the characteristics of the image created by a converging and diverging lens is necessary to choose the best option out of all the possible choices.

What is a lens used for?

A lens is a transparent material, such as a piece of glass, that is used to concentrate light from an object to create a picture of it.

What exactly is a lens defined as?

A transparent piece of material with two opposite regular surfaces that are either both curved or one is curved and the other is plane, and that are used individually or together in an optical instrument to focus light to create an image.

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according to the international phonetic alphabet (ipa), what is the label given to consonants in which there is a much wider passage of air resulting in a smooth (as opposed to turbulent) airflow?

Answers

Approximants is the name given to consonants that have a much larger air path, leading in a smooth airflow as opposed to a turbulent airflow.

Which four approximates are they?

The vocal tract is only minimally constrained enough to cause air to become turbulent—to produce the four English 3.43 sounds (/l/, /r/, /w/, and /y/). For English language learners working on pronunciation and accent reduction, these sounds can be particularly challenging.

How many approximations exist?

In English, there are just four approximates, and each of them is voiced. Additionally, they are all produced the with soft palate lifted, making them all oral noises. The English version 3 are explained below.

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PLEASE HELP ME WITH THIS ONE QUESTION
A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 J, what is the work needed to change the piston volume?

Answers

Correct question:

A piston has a volume change of 7 x 10^-6 m^3. Assuming atmospheric pressure is 101,325 Pa, what is the work needed to change the piston volume?

Answer:

The work needed to change the piston volume is 0.709 J

Explanation:

Given;

volume of the piston, V = 7 x 10⁻⁶ m³

atmospheric pressure, P = 101,325 Pa

The work needed to change the piston volume is calculated as follows;

W = PV

W = (7 x 10⁻⁶ m³) x (101,325 Pa)

W = 0.709 J

Therefore, the work needed to change the piston volume is 0.709 J

Which one of the statements below is true about mechanical waves?

They must travel in empty space.
They can travel in a vacuum.
Both sound and light are examples of mechanical waves.
They require a medium to travel through.

Answers

Answer:

The answer is B

Explanation:

this object's brightness is 2.5 times greater today than in ptolemy's time, suggesting changes in stellar evolution 100 times larger than predicted.

Answers

This object, which is located in an asterism with Kochab and Pherkad, has a decreasing amplitude, which indicates that it has left the instability strip in Polaris.

Objects in a sentence are what?

The focus of a sentence. In most cases, the subject's verb is acting on a person, place, or thing, which is the object. The noun or pronoun that follows the verb is the simplest place to seek for the object in a short phrase, as you might expect.

An actual object is what?

In other words, it is precisely as it was before being depicted in all aspects. It is true that an object is typically—but not always—modified in some manner when it is represented. but by the Object in itself.

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A car crashes into a wall with an impulse of 40,000 kg.m/s. The collision took 2 seconds. How much force did the wall exert?


Answers

Answer:

i hate physics lol but its 20,000N

Explanation:

For the different values given for the radius of curvature R and sped, rank the magnitude of the force of the roller-coaster track on the bottom of each clip. Rank from largest to smallest. To rank items as equivalent, overlap them.

Answers

The magnitude of the force of the roller-coaster track on the bottom of each clip can be ranked from largest to smallest as follows: R = 50 m, speed = 10 m/s R = 100 m, speed = 10 m/s R = 50 m, speed = 5 m/s.

The magnitude of the force of the roller-coaster track on the bottom of a clip is determined by the radius of curvature of the track and the speed of the clip.

For a given radius of curvature and speed, the magnitude of the force will be larger when the radius of curvature is smaller and the speed is larger, and smaller when the radius of curvature is larger and the speed is smaller.

Based on this information, the magnitude of the force of the roller-coaster track on the bottom of each clip can be ranked as follows:

R = 50 m, speed = 10 m/s

R = 100 m, speed = 10 m/s

R = 50 m, speed = 5 m/s

The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 50 m and a speed of 10 m/s will be the largest. The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 100 m and a speed of 10 m/s will be smaller. The magnitude of the force of the roller-coaster track on the bottom of the clip with a radius of curvature of 50 m and a speed of 5 m/s will be the smallest.

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if you are in a low-speed collision, when your vehicle is repaired, be sure to have your replaced.

Answers

The things which can be replaced after the low-speed collisions are airbags, dents on the car, the broken mirror or any part, etc.

What is low-speed collision?

A car accident that happens while moving less than 10 miles per hour is referred to as a low-impact or low-speed collision. There are several situations that could result in a low-impact collision. Accidents in crosswalks or other pedestrian zones are only a few instances.

Here, are some things you should replace after the collision,

1. Vehicle assistance technologies

Even though your car may appear to be in good condition, it may not be performing at its best. Modern cars are equipped with a ton of high-tech features, such as several electronic sensors, cameras, and radar that constantly monitor your car.

2. Diagnostic error codes

The structural integrity of the car's frame, as well as the functionality of its steering and suspension components, are all thoroughly inspected. Scanners should be available to reputable shops so they may look for diagnostic trouble codes (DTCs) that may have been set off by an accident.

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A car starting from rest moves with constant acceleration of 2.0 m/s2 for 10 s, then travels with
constant speed lor another 10 s, and then finally slows to a slop will conslanl acceleration of
-2.0 m/s2. How far does it travel?​

Answers

Answer:

Secondary SchoolPhysics 5+3 ptsA body starts from rest and moves with a uniform acceleration.

A minimum-energy transfer orbit to an outer planet consists of putting a spacecraft on an elliptical trajectory with the departure planet corresponding to the perihelion of the ellipse, or the closest point to the Sun, and the arrival planet at the aphelion, or the farthest point from the Sun. (Assume the orbital radius of the Earth is 1.50∗108 m, and the orbital radius of Mars is 2.30∗108 m, and mass of Sun to be 2.00∗1030kg. Calculate how long spacecraft will take to arrive at Mars.

Answers

The planet that will arrive at the aphelion, or the Sun's farthest point from the Earth. a=(1.5e11+2.28e11)/2=1.89e11(m).

Kepler's Third Law

Use a3/T2=const with earth.

It will take 516 days for a spaceship to reach Mars since 1.89e11/3T is equal to 1.5e11/3365.

What makes energy crucial?

Because it is a fundamental human requirement, energy is crucial to our everyday activities. In addition to using we consume electricity to heat the facilities we having built, however we use it as well to cool those. For getting out of bed, you need energy.

How does energy become made?

Using a turbine generator set, electrical energy is transformed from mechanical energy to create electricity. Natural gas, coal, nuclear fission, biomass, petroleum, geothermal, and solar thermal all utilise the heat generated throughout the process to make steam.

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4. Juanita has taken two IQ test in her life. When she was 30 she scored 130 on her first IQ test. She then took another test when she turned 40. What is MOST likely to be true of Juanita's score on the second test
The score on the second test should be higher as 10 improves with age
The score on the second test should be close to 130 as IQ is a steady measurement
The score on the second test should be lower as IQ peaks at age 35 and then decreases
The score on the second test should be 10 points lower due to Juanita's mental age.

Answers

Answer:

It is most likely that the score on the second test should be close to 130 as IQ is a steady measurement. Intelligence quotient (IQ) is a measure of a person's cognitive ability and is typically considered to be a stable trait that does not change significantly over time. While some research has suggested that certain aspects of cognitive ability may improve with age, the overall IQ score is generally considered to be a consistent measure of cognitive ability. Therefore, it is unlikely that Juanita's score on the second test would be significantly different from her score on the first test.

Sorry if I answered it late :D

7. The work done in picking the same chair up 1 meter would be about
A. 4J
B. 40J
C. OJ
D. 400J

Answers

The answer is d 400 j because that is what is my looks like
400j is the answer sweet heart

A train whistle produces a sound at a frequency of 600 Hz. If the train is moving toward a stationary observer at a constant speed, which of the following may be the frequency of the whistle as detected by the observer?

Answers

Huh I don’t know this I’m confused a lot

Two charged particles, q1 and q2, are located on the x-axis, with q1 at the origin and q2 initially at
x1 = 13.2 mm.
In this configuration, q1 exerts a repulsive force of 2.62 µN on q2. Particle q2 is then moved to
x2 = 17.8 mm.
What is the force (magnitude and direction) that q2 exerts on q1 at this new location? (Give the magnitude in µN.)

Answers

The force that q₂ exerts on q₁ at this new location is 1.44 µN  in  - X axis direction.

What is force?

The definition of force in physics is: The push or pull on a massed object changes its velocity.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. A spring balance can be used to calculate the Force. Newton is the SI unit of force.

As electric force due to point charge is inversely proportional to the square of distance.

Given that with q₁ at the origin and q₂ initially at x₁ = 13.2 mm,  q₁ exerts a repulsive force of 2.62 µN on q₂.

Hence,  with q₁ at the origin and q₂ initially at x₁ = 17.8 mm,  q₁ exerts a repulsive force of on q₂ = 2.62 µN (13.2/17.8)²

=  1.44 µN .

So, q₂ exerts a force of  1.44 µN on q₁ at this new location in - X axis direction.

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Answer:

What is the force applied between q1 and q2?

✔ 10.8 N

In which direction does particle q2 want to go?

✔ away from particle q1, in a straight line to the right

Explanation:

The flux through a loop of wire changes at a uniform rate from 4x10-'Wb to 5x10-5 Wb in 0.10 s. Determine the emf induced in the coil 5.0 x 10 V 4.0x10v O 1.0 x 10-4 v O 6,0 x 10-57 A 0.50

Answers

In 0.10 s, total flux through such a wiring loop increases uniformly from 4x10-'Wb through 5x10-5 Wb. The coil experiences an induced emf of 1*10⁻⁴ v.

What are the SI unit and flux?

A distribution of something like the electromagnetic field or the velocity at which the electric field moves throughout a specific area can both be measured as electric flux. The Greek letter e is used to represent electric flow. Electric flux is measured in SI units as or Nm 2 C – 1.

What is the same as flux?

E is the amplitude of the electrostatic potential (with units of V/m), and if the magnetic charge is constant, the electric flux (E) travelling through a material of vector area S equals: E = ES = EScos.

Briefing:

change in magnetic flux d∅ = (5*10⁻⁵ - 4*10⁻⁵) wb

d∅ = 1*10⁻⁵wb

time = 0.10 sec.

induce emf, e = -d∅/ dt

[e] = d∅/ dt

[e] = 1*10⁻⁵ / 0.10 v

[e] = 1*10⁻⁴ v.

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Can someone help me here

Answers

Answer:

1. grass Can survive by itself because it is not dependent on food, it is self-sustaining. and since grass it's not dependent on food it is a producer.

2. and 3. they would all decrease, since the prairie dogs are herbivores they eat basically plants such as grass and if half of the grass is gone then they would have less to eat and therefore decrease.

since ferrets eat prairie dogs, if the prairie dogs population decreases the ferrets would have less to eat and therefore decrease as well.

one of the predators of ferrets are foxes and if the ferrets decrease then the fox would also decrease since it will have less to eat.

4. if we would continue advancing years soon the ferret, prairie dogs and foxes would be no more because if there is less grass they would keep on decreasing over the years until they would be extinct.

In the playground game of tetherball, a ball tied to a rope circles a pole, wrapping the rope around the pole is it goes. Opponents compete to wrap the ball around the pole in one direction or the other; the game ends when the rope is entirely wrapped around the pole and the ball touches the pole. If you get the ball going around in one direction, as the rope shortens and the ball goes in smaller and smaller circles, the ball goes around with a shorter and shorter period.

Required:
Explain why this happens.

Answers

As the rope becomes shorter, the length of the rope is  decreased and the centripetal force decreases according causing the ball to move in smaller circles.

What is centripetal force?

The centripetal force is defined as the force that keeps an object moving in a circular path. Also, the centripetal force is equal to the tension in the rope and the tension in the rope depends on the length of the rope.

As the rope shortens, the tension in the rope decreases and the centripetal force on the ball decreases hence the ball moves in smaller and smaller circles, the ball goes around with a shorter and shorter period.

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match the following distance on the left with the maximum speed on the right group of answer choices 2 seconds [ choose ] 3 seconds [ choose ] 4 seconds [ choose ]

Answers

Even if you are confident in your own driving skills, you have no control over outside elements such as other drivers' behavior, unfavorable road and weather conditions, or other unexpected risks.

It's best to stay 3-4 seconds behind the automobile in front of you to lessen the risk of a collision. Every driver must practice safe driving behaviors in order to reduce their chances of being involved in an accident. The "three-second rule" is a common rule that many drivers use to maintain safe following distances. It is necessary to leave three seconds of distance between your vehicle and the vehicle in front of you. The 3-second rule suggests keeping three car lengths between you and the car in front of you. This is also referred to as the distance.

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S
In a game of pool, the cue ball rolls toward the stationary eight ball with a velocity of 1.35,
and they collide. The mass of the cue ball is 170 grams, and the mass of the eight ball is
156 grams. The velocity of the cue ball immediately after the collision is 0.060
What is the velocity of the eight ball immediately after the collision?
Your answer should have three significant figures.
m
You might need: Calculator
S
Show Calculator
MOO
EXTD
9:0

Answers

The velocity of the eight ball immediately after the collision is 1.41 m/s.

What is the final velocity of the eight ball after the collision?

The final velocity of the eight ball after the collision is calculated by applying the principle of conservation of linear momentum;

m₁u₁  +  m₂u₂  = m₁v₁   +  m₂v₂

where;

m₁ is the mass of the cue ballu₁ is the initial velocity of the cue ballm₂ is the mass of the eight ballu₂ is the initial velocity of the eight ballv₁ is the final velocity of the cue ballv₂ is the final velocity of the eight ball

(0.17)(1.35) + (0.156)(0) = (0.17)(0.06) + (0.156v₂)

0.2295 = 0.0102 + 0.156v₂

0.156v₂ = 0.2193

v₂ = 1.41 m/s

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the image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?

Answers

The correct statement is the water absorbed energy continuously, but the temperature increased only when all of the water was in one phase.

this is explained by the latent heat of fusion. The melting point of ice ( at which ice melts into water) is 0 degree Celcius. This temperature remains constant till all 10 g of ice melts completely and water comes in the same phase of liquid.

The latent heat of fusion, also known as enthalpy of fusion, is defined as the total amount of heat energy supplied to a solid substance to start a change in its physical state from a solid to a liquid state. Given the pressure of the environment is constant.

The correct option is (b).

The given question is incomplete, the complete question is

The image below shows how the temperature of 10 g of ice changes as energy is added. which statement is correct?

(a) The water absorbed energy continuously and temperature increases while water is changing phase.

(b) The water absorbed energy , but the temperature increased only when all of the water was in one phase.

(c) Temperature of the water remained constant.

(d) Temperature always increases.

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2. David Wechsler took the results of IQ tests and plotted them on a bell curve. What BEST demonstrates what Wechsler learned by plotting the results on the Bell Curve?
Most scores were above average.
Most scores were below average..
O
Most scores fell in the middle of the curve with fewer outside the curve.
There was a large difference between the scores of women and men.

Answers

Answer:

One thing that is demonstrated by plotting the results of IQ tests on a bell curve is that most scores fall in the middle of the curve, with fewer scores outside the curve. This reflects the fact that IQ scores are typically distributed in a normal or bell-shaped curve, with most scores falling around the average, and fewer scores falling at the very high or very low ends of the distribution. The bell curve is a useful tool for visualizing the distribution of IQ scores, and it can help researchers and psychologists understand the typical range of scores and identify any unusual patterns or outliers. It is not accurate to say that most scores are above average or below average, or that there is a large difference between the scores of women and men. These statements do not accurately reflect the findings of IQ tests or the use of the bell curve to analyze their results.

n unit-vector notation, what is the torque about the origin on a particle located at coordinates (0, −4.0 m, 3.0 m) if that torque is due to (a) force F1 with components F1x = 2.0 N, F1y = F1z = 0, and (b) force F2 with components F2x = 0, F2y = 2.0 N, F2z = 4.0 N?

Answers

n unit vector notation, -22j is the torque about the origin on a particle located at coordinate (o, -4.0m, 3.0m)


Torque
is defined as the force that can cause an object to rotate along an axis is measured as torque. Estimate the angle between the vector connecting the force's application point and the pivot point and the direction of the applied force. You may calculate the torque by multiplying r by F and sin.

T=R (distance) x F (Force)

R=-4j+3k

F=2J

Hence, t=  R x F vector product

=(-4j+3k)x2j

=-4x2x(y x J)

=+3x2y(k x r)

=-8x(-k)+6j

=(6j+8k) nm

b) F^2=2J+4K

Hence, t=r x f^2

=(-4j+3k)x(2j+4k)

=0-16( J x k)+6(K x J)+0

=-16j-6j

=-22j  

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what happens when the north pole of one bar magnet is near the north pole of another bar magnet?

Answers

Answer:

C

Explanation:

magnet poles with the same polarization reject each other.

Answer:

the answer c because they will push away from each other

Bob and Sally sit on a 4 m long see-saw that has its fulcrum smack in the center of the board. If 50 kg Sally is sitting at one end of the plank, where should 70 kg Bob sit on the other side relative to the fulcrum so the net Torque is zero?

Answers

Answer:

1.43m

Explanation:

Given data

m1= 50kg

m2=70kg

We are told that Sally m1= 50 sat at one end which is 2m from the center

Hence, the summation of clockwise moment = summation of anticlockwise moment

See the attached image for your reference

50*2= 70*x

100= 70x

x= 100/70

x=1.43m

Hence the mass m2 will be at the 1.43m mark for the net torque to be zero

You want to investigate the bird
and his swing and how they relate to Newton's laws of
motion. List at least two questions you might ask

Answers

Answer: Is the bird balanced or unbalanced on the swing?

What kind of motion is acted on the swing by the bird?

Which of the following methods of sound localization between the two ears can we rely on for tones of very low frequencies? -Interaural time differences -Interaural level differences -Interaural frequency differences -Interaural echo differences More than one of the above

Answers

According to Doerbecker and Ernst (1996) and Francart et al. (2011), interaural time difference (ITD) and interaural level difference (ILD) are the two primary auditory cues used by binaural hearing. The delay between each ear is known as ITD.

What technique best localizes sound between the two ears?

Rayleigh's view of horizontal sound localization has come to be known as the “duplex” theory: that sound localization at low frequencies relies on differences in phase at the two ears, or ITDs, and that high-frequency localization relies on interaural differences in sound level (ILDs).

What two variables affect sound localization?

The variation in the loudness of the sound in each ear and the time it took for the sound to reach each ear are two elements that affect how the sound is localized.

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Other Questions
The letters in the diagram below represent genes on a particular chromosome.Gene B contains the code for an enzyme that cannot be synthesized unless gene A is also active. Which statement best explains why this can occur?(1) A hereditary trait can be determined by more than one gene.(2) Genes are made up of double-stranded segments of DNA.(3) All the genes on a chromosome act to produce a single trait.(4) The first gene on each chromosome controls all the other genes on the chromosome. what does brock discover about the world outside the doom in the story the last dog How do you factor a mortgage payment? but there's no sense crying over every mistake,you just keep on trying till you run out of cake,and the science gets done,and you make a neat gun,for the people who are still alive. What 4 factors do bacteria need to grow? Which two statements provide explicit textual evidence to support Stefanis inference? A. statements 1 and 3 B. statements 2 and 4 C. statements 4 and 5 D. statements 5 and 6 What is a sensory phrase? But I didn't hear you. If I had heard you, I (would have done, will do, would do, will have done) it. 3 pencils cost 2.25.How much do 7 pencils cost? What goip i hared about Winterbourne with the reader? He ha lot mot of hi fortune to gambling. Hi "aunt" with whom he ha a cloe relationhip i not actually hi aunt. He wa engaged in a romantic tryt with an older woman. He ha a habit of taking advantage of young girl Explain and define the term ""Metropolitan IT Infrastructure."" What are some key city infrastructures? Explain the concept of a Smart City. Why did the United States establish the NATO alliance ? After president johnson established the national advisory commission on civil disorders to help eliminate unrest in inner cities, why were none of the commissions recommendations put into practice? a. johnson didnt agree with the recommendations. b. all of the recommendations cost too much money. c. johnson was too focused on the vietnam war. d. johnson thought the problems would solve themselves. Why does the US have multiple time zones? Find the arithmetic sequence for -16,-21,-26,-31Show steps please! Is the controlling idea the theme? Refer to Exhibit 3-3. A movement from point W to point Z would have been the result ofa reduction in the price of good Y.an increase in the number of buyers in the area where good Y is being sold.a decrease in business taxes paid by the producers of good Y.a decrease in the number of buyers in the area where good Y is being sold.an increase in the price of good Y. What is the difference between a rhyming poem and a free verse poem? What is the percent composition of a compound formed when 4.96 g of bromine combines with lithium to form 5.39 g of lithium bromide? What is one of the main reasons why it is important to paraphrase and summarize a reading passage?