1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
snow_tiger [21]
3 years ago
10

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.

Physics
1 answer:
anygoal [31]3 years ago
7 0

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

You might be interested in
A spaceship leaves a space station and emits a flash of light that travels at a speed of 300,000 km/s. The spaceship starts out
balandron [24]
The answer is number D
7 0
3 years ago
Read 2 more answers
What form of energy is released into the atmosphere by the earth's surface
Crank

Answer:

Thermal Energy (Heat)

8 0
2 years ago
Read 2 more answers
The manufacturer of a bulletproof vest wants the vest to be able to stop a bullet with a mass of 0.4 kg and a velocity of 1800 m
11111nata11111 [884]
We know that momentum = mass times velocity
So a. 720 kgm/s
7 0
3 years ago
Electronegativity increases when atoms ___
notka56 [123]

your answer is.....

D. have a large atomic radius

although they also increase going from left to right so if D is incorrect, B might be your answer. it depends on context of the lesson.

8 0
3 years ago
A child and sled with a combined mass of 50.0 kg slide down a frictionless slope. if the sled starts from rest and has a speed o
Furkat [3]
            <span> Using conservation of energy

Potential Energy (Before) = Kinetic Energy (After)

mgh = 0.5mv^2

divide both sides by m

gh = 0.5v^2

h = (0.5V^2)/g

h = (0.5*2.2^2)/9.81

h = 0.25m

</span>
4 0
3 years ago
Read 2 more answers
Other questions:
  • Which of the following is important if an organism becomes a fossil
    15·1 answer
  • Two 10.0-cm-diameter electrodes 0.50cm apart form a parallel-plate capacitor. The electrodes are attached by metal wires to the
    7·1 answer
  • Evolution refers to which of the following? A. having traits that help a species survive B. the gradual change of a species over
    8·1 answer
  • The organ system that moves blood around your body?
    7·1 answer
  • An incident light ray strikes water at an angle of 20 degrees. The index of refraction of air is 1.0003, and the index of refrac
    5·2 answers
  • A 20 kg object is floating in space. What is its mass?
    13·1 answer
  • A wire is carrying current vertically downward. What is the direction of the force due to Earth's magnetic field on the wire?
    10·1 answer
  • A Rocket took 5 minutes to travel the 185 km. How fast did the Rocket travel in kilometers per minute (km/min)?
    7·1 answer
  • What can change of matter from one state to another state?
    14·1 answer
  • Many electrical appliances use cells (batteries). there's a torch with two batteries inside it (the torch needs two cells to giv
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!