Two small stereo speakers are driven in step by the same variable-frequency oscillator. Their sound is picked up by a microphone arranged as shown. For what fundamental frequency does their sound at the speakers produce constructive interference? The speed of sound is 340m/sec.
Answer:
The fundamental frequency at which the sound of speakers at the microphone produce constructive interference is 801.076458 Hz
Explanation:
For a given arrangement having constructive interference, we have;
R₁ - R₂ = 2·x = 0 + n·λ
The distance from one speaker to the microphone. R₁ = 4.50 m
The distance between the two speakers = 2.00 m
The angle formed between the direction from the microphone to the speaker closest and the directional path between the speakers = 90°
Therefore, by Pythagoras's theorem, the distance from the speaker furthest from the microphone, to the microphone, 'R₂' is given as follows;
R₂ = √(4.50² + 2.00²) = √(24.25) = 4.9244289009 ≈ 4.924
∴ R₂ ≈ 4.9244289 m
R₂ - R₁ = 4.9244289 m - 4.5 m = 0.4244289 m
For constructive interference, R₂ - R₁ =0.4244289 m = n·λ
For n = 1, we have;
R₂ - R₁ =0.4244289 m = n·λ = 1 × λ = λ
λ = 0.4244589 m
f = v/λ = 340 m/sec/(0.4244289 m) ≈ 801.076458 Hz
Therefore the lowest possible fundamental frequency at which the speakers produce constructive interference, f = 801.076458 Hz
The frequency at which the speakers produce a constructive interference is 801.076 Hz.
Given here,
[tex]R_1[/tex]- The distance from one speaker to the first microphone = 4.5 m
[tex]R_2[/tex] - The distance between microphone and second speaker = ?
The distance between the speakers = 2 m
From Pythagorean theorem,
[tex]R_2= \sqrt {4.50^2 + 2.00^2}\\\\R_2 = \sqrt{24.25} \\\\R_2= 4.924[/tex]
So,
[tex]R_2 - R_1 = 4.9244 \, {\rm m} - 4.5 \, {\rm m} \\\\R_2 - R_1 = 0.4244 \, \rm m[/tex]
For constructive interference,
[tex]R_2 - R_1 = m\lambda[/tex]
Since, m = 1
λ = 0.4244 m
Now, frequency can be calculated by the formula,
[tex]f = \dfrac v\lambda[/tex]
So,
[tex]f = \dfrac {340{\rm \ m/sec}}{(0.4244\; \rm m) }\\\\f = 801.076{\rm \ Hz}[/tex]
Therefore, the frequency at which the speakers produce a constructive interference is 801.076 Hz.
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1 Pascal is equal to N/cm
True
False
Answer:
False
Explanation:
Pascal is a pressure of one newton per square metre, or, in SI base units, one kilogram per metre per second squared.
Pa = N/m^2
Which idea did Ptolemy’s model use to explain why the planets appeared to move backward as they moved in their orbits?
The planets spun in epicycles.
The planets rotated on their axes.
The planets revolved around the Sun.
The planets were made of different materials.
Answer:
The planets spun in epicycles.
Explanation:
Ptolemy's model used to explain that the planets spun in epicycles.
What is Ptolemy's model? How it was explained?
Ptolemy placed the Earth at the center of the geocentric model. The system of planetary motions according to which the earth is at the center with the sun, moon, and planets revolving around it and each orbit except for the sun and moon is composed of a principal circle upon which moves a smaller circle carrying the planet. As he knows about the planetary motions and ideas about the universe was a set of spheres that surrounds the earth. He also believed that the moon has the orbit which is closest to the earth, the Mercury , the Venus and the sun.
According to Ptolemy he considered and mentioned completely about 48 constellations.
Hence, Option A is the correct answer.
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how many muscles make up the human body
Answer:
650......................
if your weight is 600 Newton on the earth how far should you go from the centre of the earth so that it will be 300 Newton
Given :
Our weight is 600 Newton on the earth.
To Find :
How far should you go from the center of the earth so that it will be 300 Newton.
Solution :
Acceleration due to gravity at depth d is given by :
[tex]g' = g( 1 - \dfrac{d}{R_e})[/tex]
At earth surface, mg = 600 N ...1)
At depth d, mg' = 300 N ...2)
Dividing 1) and 2), we get :
[tex]\dfrac{g}{g'} = \dfrac{600}{300}\\\\\dfrac{g}{g'} = 2\\\\g = 2g'\\\\g = 2\times g\times ( 1 - \dfrac{d}{R_e} )\\\\1 - \dfrac{d}{R_e} = \dfrac{1}{2} \\\\d = \dfrac{R_e}{2}[/tex]
Therefore, we should go in the depth of distance half the radius of earth.
During which change of states do atoms lose energy?
Answer: freezing
Explanation:
Can anyone help me understand Circular Economy? for science
What is the doppler effect in astronomy used for?
Answer:
The Doppler effect for electromagnetic waves such as light is of great use in astronomy and results in either a so-called redshift or blueshift. It has been used to measure the speed at which stars and galaxies are approaching or receding from us; that is, their radial velocities.
Answer:
the doppler effect for electromagnetic waves such as light is of great use in astronomy anf results in either redshift and blueshift. It has been used used to measure the speed at which stars and galaxies are approaching or receding from us; that is, their radial velocities
1. Miranda wraps her hands around a mug of hot tea. The heat from the hot tea is being transferred to the mug, and then to Miranda’s hands, mostly by *
convection
reflection
radiation
conduction
Which is a possible result of rising ocean temperatures caused by global warming?
formation of dust bowls
increase in strength of hurricanes
rapid evaporation of water in soil
decrease in population due to health threats
Answer:
Increase in strength of hurricanes
Explanation:
A possible result of rising ocean temperatures caused by global warming is increase in strength of hurricanes.
What is global warming?Global warming is an environmental concern characterized by the gradual increase in the Earth's atmospheric temperature.
Global warming can lead to the rise of temperature in air and oceans as well.
One consequence of an increase in ocean temperature is that the strength of hurricanes, which is strong wind accompanied by rain, will be increased.
Therefore, a possible result of rising ocean temperatures caused by global warming is increase in strength of hurricanes.
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What is the weight of a 36 kg toy car?
Answer:
About 79 lbs (pounds)
Explanation:
plz i need help please help
Answer:
if you look it up i think u can find it it could be a mealltiod Co 27
Explanation:
If a problem has more than one system of interest, more than one free-body diagram is required to describe the external forces acting on the different systems.
1.True
2.False
A student is performing experiments on a particular substance. Which
statement is an observation of a chemical property of the substance?
O A. It burns.
B. It melts.
O C. It floats.
D. Electricity cannot pass through it.
Answer: A.
Explanation:
Two balls, a foam ball and a golf ball, are placed into a pail of water. The golf ball sinks. Why does a foam ball float and a golf ball sink when both are placed into water?
Answer:
The golf ball has a greater mass than the foam ball
Explanation:
Look at photo D. Explain how the fountains help to keep the gardens cool.
Answer with Explanation:
Spain is known to have hot summers, thus, it is very easy for water to evaporate once exposed to direct heat source (such as the sun).
A fountain is being used in order to keep the garden's surrounding air temperature low by allowing the evaporation of water. One factor that speeds up the evaporation of water is the surface area. The water coming out of a fountain is in small quantities; however, it meets up with hot air in a large surface area. This allows faster evaporation, leading to an even greater cooling effect because heat is being transported immediately from the liquid state to the gaseous state. This is the reason why people often meet up in places where there's a fountain. It is not only aesthetically appealing but also provides comfort from the heat.
Which measurement can she expect once the water begins to boil??
Answer:
200
Explanation:
has to be long this us just random words anseer is b. 100
The number of forces that act on a book after being pulled by an string and start moving on a table is
1.
2.
3.
4
Which Newton’s law is gown below?
First
Second
Third
Pls answer
Answer:
The First law of motion
Explanation:
The firat law states that an object either remains at rest or continues to move at a constant velocety unless acted upon by an external force
A 4.5 kg bucket of water is raised from a well by a rope. The acceleration of gravity is 9.81 m/s 2 . If the upward acceleration of the bucket is 4.9 m/s2 , find the force exerted by the rope on the bucket of water. Answer in units of N.
Answer:
The force exerted by the rope on the bucket of water is 66.195 N.
Explanation:
Given;
mass of the bucket, m = 4.5 kg
acceleration of gravity, g = 9.81 m/s²
upward acceleration of the bucket, a = 4.9 m/s²
The upward force applied on the bucket by the rope is calculated as;
F = ma + mg
F = m(a + g)
F = 4.5(4.9 + 9.81)
F = 4.5(14.71)
F = 66.195 N
Therefore, the force exerted by the rope on the bucket of water is 66.195 N.
do we live in a simulation?
Answer:
well no, but yes
Explanation:
depends on your religion tbh
Answer:
There is a 50-50 chance that we do live in a simulation.
Explanation:
PLEASE ANSWER IN COMPLETE SENTENCE!!!
What is the relationship between Earth’s mass and its atmosphere?
Answer:
Mass is proportional to gravity and gravity is necessary to hold an atmosphere, therefore mass would seem to be very important for the ability for a body to have an atmosphere. However there are quite a few examples that show that it doesn't require that much mass to get an atmosphere.
Explanation:
Answer + Explanation : Mass is proportional to gravity and gravity is necessary to hold an atmosphere, therefore mass would seem to be very important for the ability for a body to have an atmosphere.
What would be the average speed of a runner who finished a 400 meter race in 50 seconds?
Answer:800
Explanation:about
You make a(n) _____ by fastening together usually perpendicular parts with the ends cut at an angle.
Answer:
Miter joint
Explanation:
Made by fastening together usually perpendicular parts with the ends cut at an angle
What is the acceleration for an object moving with constant speed? Explain your answer
Answer:
What is the acceleration of an object moving at a constant speed?
The Meaning of Constant Acceleration
The data table above show an object changing its velocity by 10 m/s in each consecutive second. This is referred to as a constant acceleration since the velocity is changing by a constant amount each second.
Answer:
there is no acceleration for an object moving with constant speed
Explanation:
it is because acceleration is change in velocity and constant means same or without any change so there is no acceleration for an object which is moving with same speed
hope it helps:)
why will light from the sun change the color of the cloth when the light from the desk lamp does not
Answer:
Because the sun gives off a type of light that carries energy, and light from the desk lamp does not.
Explanation:
All of the energy from the Sun that reaches the Earth arrives as solar radiation, part of a large collection of energy called the electromagnetic radiation spectrum. Solar radiation includes visible light, ultraviolet light, infrared, radio waves, X-rays, and gamma rays. Radiation is one way to transfer heat.
Please help me.. I will give you 20 points !!
When is a secondary source more helpful than a primary source?
O A. When you want to know the exact data values
B. When you do not need to know the conclusion of the experiment
C. When you want to confirm the conclusion with your own
experiment
D. When you are not an expert in the field being studied in the
experiment
Answer:b but thats what I think
Explanation:
Answer: D. When you are not an expert in the field being studied in the
Explanation: D. When you are not an expert in the field being studied in the
Please help ASAP 35 points and brainly if u get it right please
Answer:
first one down second one up
Explanation:
what is the answer to this
Which Olympic events the most muscular stretch
Answer:
It is gymnastics.