Question 1

The sound level in the middle of a rave is 90.0 dB.What is the sound intensity at this location?

Accepted Answer

The sound intensity level in decibels (dB) is given by the formula: L = 10 * log10(I/I0), where I0 is the reference intensity (1.00 * 10^-12 W/m^2). Solving for I when L = 90 dB gives I = 1.00 * 10^-3 W/m^2.

Question 2

The speed of sound in air is 319 m/s.What is the temperature of the air?

Accepted Answer

A

Question 3

A bugle can be represented by a cylindrical pipe of length L = 1.24 m.Since the ends are open,the boundary conditions force the standing wave (representing the displacement of the air molecules)that is produced in the bugle to have antinodes at the open ends of the bugle,where the air molecules move back and forth the most.The longest wavelength standing wave inside the bugle is

Accepted Answer

The longest wavelength standing wave that can fit inside the bugle must have a node in the middle and antinodes at the open ends. This means that the wavelength, λ, must be equal to twice the length of the pipe, or:

λ = 2L
= 2(1.24 m)
= 2.48 m

Therefore, the answer is (C) 2.48 m.

Question 4

You are traveling slightly over the speed limit when you see a police car behind you in your rear view mirror.He immediately changes lanes and passes you by.You are so nervous after the police car passes you that you pull off to the side of the road and stop.Now you hear a siren,this time from an ambulance approaching from behind.The frequency you hear its siren is 1280 Hz.Once it passes,its frequency is 1080 Hz.What is the speed of the ambulance?

Accepted Answer

The Doppler effect formula for sound can be used to calculate the speed of the ambulance. The observed frequency when the source is approaching is higher than when it is moving away. Using the formula for the Doppler effect and solving for the speed of the source, the speed of the ambulance is approximately 29.07 m/s.

Question 5

A car horn emits a frequency of 400 Hz.A car traveling at 30.0 m/s sounds the horn as it approaches a stationary pedestrian.What frequency does the pedestrian hear? The speed of sound in air is 343 m/s.

Accepted Answer

The frequency heard by the pedestrian can be calculated using the Doppler effect formula:

f' = f ((v_sound ± v_observer)/(v_sound ± v_source))

where f is the frequency emitted by the source (car horn), f' is the frequency heard by the observer (pedestrian), v_sound is the speed of sound in air, v_observer is the speed of the observer (0 m/s for pedestrian), and v_source is the speed of the source (30.0 m/s for the car).

Plugging in the given values: 
f' = 400 ((343 + 0)/(343 + 30.0)) = 438 Hz

Therefore, the pedestrian hears a frequency of 438 Hz which corresponds to option D.

Question 6

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed.You hear a frequency of 90 Hz.After the car passes you by,you hear a frequency of 75 Hz.What speed was the car traveling?

Accepted Answer

The Doppler effect causes the frequency of a sound wave to change as the source of the sound moves relative to the observer. The formula for the Doppler effect is:$$f_o = f_s * (v +/- v_o) / (v +/- v_s)$$where:* $$f_o$$ is the observed frequency* $$f_s$$ is the source frequency* $$v$$ is the speed of sound in the medium* $$v_o$$ is the speed of the observer* $$v_s$$ is the speed of the sourceIn this problem, we are given that the observed frequency is 90 Hz when the car is approaching and 75 Hz when the car is receding. We are also given that the speed of sound in air is 343 m/s. We can use the Doppler effect formula to solve for the speed of the car:$$90 Hz = f_s * (343 m/s + 0 m/s) / (343 m/s - v_s)$$$$75 Hz = f_s * (343 m/s - v_s) / (343 m/s + 0 m/s)$$Dividing the first equation by the second equation, we get:$$\frac{90 Hz}{75 Hz} = \frac{343 m/s + 0 m/s}{343 m/s - v_s} * \frac{343 m/s - 0 m/s}{343 m/s + v_s}$$Simplifying, we get:$$\frac{6}{5} = \frac{343 m/s}{343 m/s - v_s} * \frac{343 m/s}{343 m/s + v_s}$$Cross-multiplying, we get:$$6(343 m/s + v_s)(343 m/s - v_s) = 5(343 m/s)^2$$Expanding and simplifying, we get:$$235,848 m^2/s^2 + 686 m/s v_s - 686 m/s v_s - v_s^2 = 117,649 m^2/s^2$$Rearranging, we get:$$v_s^2 = 118,199 m^2/s^2$$Taking the square root, we get:$$v_s = 343 m/s$$Therefore, the speed of the car is 343 m/s, which is approximately 31 m/s.

Question 7

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed of 25.0 m/s.You hear a frequency of 100 Hz.After the car passes you by,what is the frequency that you will hear?

Accepted Answer

This is a Doppler Effect problem. As the car approaches, the frequency you hear is higher than the actual frequency of the horn due to the compression of sound waves. As the car passes and moves away from you, the frequency you hear is lower than the actual frequency due to the stretching of sound waves. The formula to calculate the new frequency is: 
f' = f*(v +/- v0)/(v +/- vs)
where f is the actual frequency of the horn (100 Hz), v is the speed of sound (343 m/s), v0 is the speed of the observer (0 m/s), and vs is the speed of the source (25.0 m/s in this case). 
Plugging in the values, we get:
f' = 100*(343 +/- 0)/(343 +/- 25.0)
f' = 100*(343/318) or 100*(343/368)
Solving these two equations gives us f' = 86.4 Hz or f' = 91.0 Hz. Since the car is moving away from you, the minus sign should be used in the formula, giving us f' = 86.4 Hz as the final answer.

Question 8

A standing wave in a column of air with both ends open has a frequency of 600 Hz.The next higher harmonic has a frequency of 800 Hz.What is the fundamental frequency?

Accepted Answer

In a column of air with both ends open, the fundamental frequency (f1) is given by f1 = v/2L, where v is the speed of sound in air and L is the length of the column.
The frequency of the first harmonic (f2) is given by f2 = 2f1.
The frequency of the second harmonic (f3) is given by f3 = 3f1.

Given that f2 = 800 Hz, we can use the formula f2 = 2f1 to find the fundamental frequency:
800 Hz = 2f1
f1 = 400 Hz
However, this is not one of the answer choices.

We know that f1 < f2 < f3, so the fundamental frequency must be less than 400 Hz. The only answer choice that satisfies this condition is C)200 Hz.
Therefore, the correct answer is:
Answer: C)200 Hz.

Question 9

You drop a stone down a well.After 2.45 s you hear the splash.How deep is the well? The speed of sound in air is 343 m/s.

Accepted Answer

The answer of You drop a stone down a well.After...

Question 10

The sound level when one student is talking during lecture is 40.0 dB.What would be the sound level if all 256 students talk at the same time during lecture? Assume each student talks equally loudly.

Accepted Answer

The answer of The sound level when one student is...

Question 11

You are sitting near the back of a twin-engine commercial jet airliner,which has the engines mounted on the fuselage near the tail.The nominal rotation speed for the turbofan in each engine is 5200 revolutions per minute,which is also the frequency of the dominant sound emitted by the engine.If one engine is running at 5214 revolutions per minute and the other at 5385 revolutions per minute,the passengers hear a pulsing noise that repeats every

Accepted Answer

To find the time interval between pulses, we need to calculate the difference between the frequencies of the two engines:
5385 - 5214 = 171 revolutions per minute
To convert this to cycles per second, we divide by 60:
171/60 = 2.85 Hz
Next, we need to find the time between each pulse, which is the inverse of the frequency:
1/2.85 = 0.35 seconds
Therefore, the answer is (B).

Question 12

Two adjacent frequencies of longitudinal standing waves in a half-open pipe are 1500 Hz and 1620 Hz.What is the fundamental frequency of the longitudinal standing waves in this half-open pipe?

Accepted Answer

The fundamental frequency of a half-open pipe is given by f = v/4L, where v is the speed of sound and L is the length of the pipe. The difference between two adjacent frequencies is given by f2 - f1 = v/2L. Therefore, the fundamental frequency is f1 = (f2 - f1)/2 = (1620 Hz - 1500 Hz)/2 = 60 Hz.

Question 13

A standing wave in a column of air with both ends open has a frequency of 520 Hz.The next higher harmonic has a frequency of 780 Hz.How long is the column of air?

Accepted Answer

For a column of air with both ends open, the wavelength of the standing wave (λ) is equal to twice the length of the column (L).

The frequency of the first harmonic (fundamental frequency) is given by:

f1 = v/2L

where v is the speed of sound in air.

The frequency of the second harmonic (first overtone) is given by:

f2 = 3v/2L

We are given that f1 = 520 Hz and f2 = 780 Hz.

Dividing the second equation by the first equation, we get:

f2/f1 = (3v/2L)/(v/2L) = 3/2

Solving for L, we get:

L = v/(2(f2/f1 - 1))

Plugging in the given values, we get:

L = 343 m/s / (2(780/520 - 1)) = 0.66 m = 66.0 cm

Therefore, the length of the column of air is 66.0 cm.

Question 14

Two people are talking at a distance of 2.0 m from where you are and you measure the sound intensity as 1.5 * 10^-7 W/m².Another student is 8.0 m away from the talkers.What sound intensity does the other student measure?

Accepted Answer

The sound intensity decreases with the square of the distance, so the other student will measure a lower sound intensity. Using the inverse square law:

I1/I2 = (r2/r1)^2

where I1 is the original sound intensity (1.5 x 10^-7 W/m^2), r1 is the original distance (2.0 m), r2 is the new distance (8.0 m) and I2 is the new sound intensity.

I2 = I1 x (r1/r2)^2 
I2 = 1.5 x 10^-7 x (2.0/8.0)^2 
I2 = 9.4 x 10^-10 W/m^2

Therefore, the other student measures a sound intensity of 9.4 x 10^-10 W/m^2, which is option A.

Question 15

You drop a stone down a well that is 15.0 m deep.How long after releasing the stone do you hear the splash? The speed of sound in air is 343 m/s.

Accepted Answer

The answer of You drop a stone down a well...

Question 16

A car traveling at 22 m/s honks its horn as it directly approaches the side of a large building.The car horn plays a long sustained note with frequency f₀ = 230 Hz (in the car's frame of reference).The sound is strongly reflected off the building back to the driver.What is the frequency of the reflected wave that the driver hears?

Accepted Answer

When the sound wave reflects off the building, its frequency does not change, but its wavelength does. The reflected wave has to travel the distance the original wave traveled twice (to the building and back), so its wavelength is doubled. This means that the frequency of the reflected wave is given by:

f_reflected = f_original * (v_sound + v_car) / (v_sound - v_car)

where v_sound is the speed of sound (about 343 m/s) and v_car is the speed of the car (22 m/s, since it is approaching the building).

Plugging in the numbers, we get:

f_reflected = 230 * (343 + 22) / (343 - 22) ≈ 262 Hz

Therefore, the driver hears a reflected wave with a frequency of 262 Hz, which is choice D.

Question 17

What is the sound intensity 2.65 m away from a 125 W speaker that is emitting sound uniformly in all directions?

Accepted Answer

The formula for sound intensity at a certain distance from a point source is:

I = P/4πr^2

where P is the power emitted by the source and r is the distance from the source.

In this case, P = 125 W and r = 2.65 m. Plugging in these values, we get:

I = 125/(4π(2.65)^2) = 0.424 W/m^2

To convert this value to decibels (dB), we use the formula:

dB = 10 log(I/I0)

where I0 is the reference intensity of 10^-12 W/m^2.

Plugging in the values, we get:

dB = 10 log(0.424/10^-12) = 122 dB

Therefore, the answer is C: 122 dB.

Question 18

One speaker is located at the origin and the other is located at (x,y)= (0,3.00 m).The speakers emit identical sound waves of wavelength 2.00 m which are initially in phase.Where does constructive interference occur?

Accepted Answer

Constructive interference occurs at points where the path difference between the waves from the two sources is an integer multiple of the wavelength. Given the geometry, the path difference for a point along the x-axis is simply the difference in distance from each speaker to that point. Since one speaker is at the origin and the other is at (0, 3.00 m), for a point on the x-axis, the path difference is the difference in y-coordinates, which is 3.00 m for all points on the x-axis. However, the question seems to be misinterpreted as it doesn't align with the standard understanding of path difference and constructive interference. Constructive interference would typically depend on the difference in distance to the two points, which would vary along the x-axis and not be a constant 3.00 m. The correct interpretation should involve calculating the path difference based on the positions given and comparing it to the wavelength, but the provided information and choices suggest a misunderstanding or misstatement of the problem as it stands.

Question 19

The sound of 40 decibels is

Accepted Answer

The answer of The sound of 40 decibels is
...

Question 20

What is the speed of sound in air if its temperature is -10^oC?

Accepted Answer

The answer of What is the speed of sound in...

Quiz 16: Sound

The sound level in the middle of a rave is 90.0 dB.What is the sound intensity at this location?

The speed of sound in air is 319 m/s.What is the temperature of the air?

A car horn emits a frequency of 400 Hz.A car traveling at 30.0 m/s sounds the horn as it approaches a stationary pedestrian.What frequency does the pedestrian hear? The speed of sound in air is 343 m/s.

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed.You hear a frequency of 90 Hz.After the car passes you by,you hear a frequency of 75 Hz.What speed was the car traveling?

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed of 25.0 m/s.You hear a frequency of 100 Hz.After the car passes you by,what is the frequency that you will hear?

A standing wave in a column of air with both ends open has a frequency of 600 Hz.The next higher harmonic has a frequency of 800 Hz.What is the fundamental frequency?

You drop a stone down a well.After 2.45 s you hear the splash.How deep is the well? The speed of sound in air is 343 m/s.

The sound level when one student is talking during lecture is 40.0 dB.What would be the sound level if all 256 students talk at the same time during lecture? Assume each student talks equally loudly.

Two adjacent frequencies of longitudinal standing waves in a half-open pipe are 1500 Hz and 1620 Hz.What is the fundamental frequency of the longitudinal standing waves in this half-open pipe?

A standing wave in a column of air with both ends open has a frequency of 520 Hz.The next higher harmonic has a frequency of 780 Hz.How long is the column of air?

Two people are talking at a distance of 2.0 m from where you are and you measure the sound intensity as 1.5 * 10^-7 W/m².Another student is 8.0 m away from the talkers.What sound intensity does the other student measure?

You drop a stone down a well that is 15.0 m deep.How long after releasing the stone do you hear the splash? The speed of sound in air is 343 m/s.

What is the sound intensity 2.65 m away from a 125 W speaker that is emitting sound uniformly in all directions?

One speaker is located at the origin and the other is located at (x,y) = (0,3.00 m) .The speakers emit identical sound waves of wavelength 2.00 m which are initially in phase.Where does constructive interference occur?

The sound of 40 decibels is

What is the speed of sound in air if its temperature is -10^oC?

Quiz 16: Sound

The sound level in the middle of a rave is 90.0 dB.What is the sound intensity at this location?

The speed of sound in air is 319 m/s.What is the temperature of the air?

A car horn emits a frequency of 400 Hz.A car traveling at 30.0 m/s sounds the horn as it approaches a stationary pedestrian.What frequency does the pedestrian hear? The speed of sound in air is 343 m/s.

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed.You hear a frequency of 90 Hz.After the car passes you by,you hear a frequency of 75 Hz.What speed was the car traveling?

You stand on the curb waiting to cross the street.Suddenly you hear the sound of a horn from a car approaching you with a constant speed of 25.0 m/s.You hear a frequency of 100 Hz.After the car passes you by,what is the frequency that you will hear?

A standing wave in a column of air with both ends open has a frequency of 600 Hz.The next higher harmonic has a frequency of 800 Hz.What is the fundamental frequency?

You drop a stone down a well.After 2.45 s you hear the splash.How deep is the well? The speed of sound in air is 343 m/s.

The sound level when one student is talking during lecture is 40.0 dB.What would be the sound level if all 256 students talk at the same time during lecture? Assume each student talks equally loudly.

Two adjacent frequencies of longitudinal standing waves in a half-open pipe are 1500 Hz and 1620 Hz.What is the fundamental frequency of the longitudinal standing waves in this half-open pipe?

A standing wave in a column of air with both ends open has a frequency of 520 Hz.The next higher harmonic has a frequency of 780 Hz.How long is the column of air?

Two people are talking at a distance of 2.0 m from where you are and you measure the sound intensity as 1.5 * 10-7 W/m2.Another student is 8.0 m away from the talkers.What sound intensity does the other student measure?

You drop a stone down a well that is 15.0 m deep.How long after releasing the stone do you hear the splash? The speed of sound in air is 343 m/s.

What is the sound intensity 2.65 m away from a 125 W speaker that is emitting sound uniformly in all directions?

One speaker is located at the origin and the other is located at (x,y) = (0,3.00 m) .The speakers emit identical sound waves of wavelength 2.00 m which are initially in phase.Where does constructive interference occur?

The sound of 40 decibels is

What is the speed of sound in air if its temperature is -10oC?

Two people are talking at a distance of 2.0 m from where you are and you measure the sound intensity as 1.5 * 10^-7 W/m².Another student is 8.0 m away from the talkers.What sound intensity does the other student measure?

What is the speed of sound in air if its temperature is -10^oC?