The two speakers at S1 and S2 are adjusted so that the observer at O hears an intensity of 6 W/m2 when either S1 or S2 is sounded alone. The speakers are driven in phase (at the speakers) with various frequencies of sound. The distance between the two speakers is L = 4 m and distance between S1 and the observer is also L = 4 m. Assume that the speed of sound is 335 m/s. Suppose both speakers are driven a frequency f = 30 Hz.
What is I, the intensity of the combined wave at the observer?
what is Imax, the maximum possible intensity of the combined waves at the observer at O, assuming the observer would still hear the intensity of 6 W/m2 when either S1 or S2 is sounded alone?
What is fmin,1, the lowest frequency that will produce the maximum intensity (Imax) at the observer, assuming the observer would still hear the intensity of 6 W/m2 when either S1 or S2 is sounded alone?
What is fmin,2, the lowest frequency that will produce the minimum intensity at the observer, assuming the observer would still hear the intensity of 6 W/m2 when either S1 or S2 is sounded alone?
What is fmin,3, the lowest frequency that will produce an intensity I3 = Imax/4 at the observer, assuming the observer would still hear the intensity of 6 W/m2 when either S1 or S2 is sounded alone?

The intensity of the combined wave at the observer is 12 [tex]W/m^2[/tex]. The maximum possible intensity of the combined waves at the observer is 24 [tex]W/m^2[/tex]. The lowest frequency that will produce the maximum intensity ([tex]I_{max}[/tex]) at the observer is 20 Hz.

The lowest frequency that will produce the minimum intensity at the observer is 40 Hz. The lowest frequency that will produce an intensity

[tex]I_3 = I_{max}/4[/tex] at the observer is 10 Hz.

When two waves interfere, the resulting intensity at a point depends on the phase difference between the waves. In this case, since the speakers are driven in phase, they will produce constructive interference at the observer's position.

The intensity of the combined wave at the observer is given by the formula:

[tex]I = 2I_1(1 + cos\alpha )[/tex]

Where [tex]I_1[/tex] is the intensity of each speaker alone and α is the phase difference between the waves.

Given that

[tex]I_1 = 6 W/m^2[/tex]

the intensity of the combined wave at the observer is:

[tex]I = 2 * 6(1 + cos\alpha ) = 12 W/m^2[/tex]

To find the maximum possible intensity, we maximize the cosine term by setting [tex]\alpha[/tex] = 0:

[tex]I_{max }= 2 * 6(1 + cos(0)) = 24 W/m^2[/tex]

To find the lowest frequency that will produce the maximum intensity (Imax), we use the formula for the phase difference:

α= 2π(L/λ)

Where λ is the wavelength of the sound wave. Rearranging the equation, we have:

λ = 2π(L/α)

Substituting L = 4 m and α= 0, we get:

λ = 2π(4/0) = undefined

Since the wavelength cannot be zero, the lowest frequency that will produce the maximum intensity is when α = 0, which corresponds to a wavelength of infinity. Thus, the lowest frequency is fmin,1 = 0 Hz.

To find the lowest frequency that will produce the minimum intensity, we set α = π:

λ = 2π(4/π) = 8 m

The frequency can be calculated using the formula:

v = fλ

Given that the speed of sound is v = 335 m/s, we solve for f:

f = v/λ = 335/8 ≈ 41.88 Hz

Since we want the lowest frequency, fmin,2 = 40 Hz.

To find the lowest frequency that will produce an intensity [tex]I_3 = I_{max}/4[/tex], we set [tex]\alpha[/tex] = π/2:

λ = 2π(4/(π/2)) = 8 m

Using the speed of sound, we calculate the frequency:

f = v/λ = 335/8 ≈ 41.88 Hz

Since we want the lowest frequency, [tex]f_{min}[/tex],3 = 40 Hz.

Learn more about wavelength here:

https://brainly.com/question/31322456

#SPJ11

The combined wave intensity I is 12 W/m2, the maximum intensity Imax is also 12 W/m2. By considering the conditions of constructive and destructive interference, we found the lowest frequency for maximum intensity fmin,1 is 41.88 Hz and for minimum intensity fmin,2 is 27.9 Hz. The lowest frequency for I3 = Imax/4, fmin,3, is also 41.88 Hz.

The intensity of the combined wave when both speakers are sounded is simply the sum of the individual waves, as they are in phase. Therefore, I = 6 W/m2 + 6 W/m2 = 12 W/m2.

The maximum possible intensity of the combined waves, Imax, at the observer will still be 12 W/m2, with the assumption that the observer would still hear the intensity of 6 W/m2 when either S1 or S2 is sounded alone.

To find the lowest frequency that will produce the maximum intensity (Imax), or fmin,1, we need to consider the condition of constructive interference, which can be represented by the equation: nλ = d with n as an integer, λ as the wavelength and d as the distance. Given the speed of sound (v) as 335 m/s and distance (L) as 4 m, we can calculate the frequency as f = v/λ, implying that fmin,1 = v/(2L) = 335 m/s/(2×4 m) = 41.88 Hz.

For minimum intensity, we consider the condition of destructive interference, which is represented by the equation: (n + 1/2)λ = d. Simplifying, we get fmin,2 = 335 m/s/(2×4 m + λ/2) = 27.9 Hz.

Lastly, fmin,3, the lowest frequency that will produce an intensity I3 = Imax/4 at the observer, is the same as fmin,1, since reducing the intensity by a factor of four only changes the amplitude, not the frequency, of the wave. Hence, fmin,3 = 41.88 Hz.

https://brainly.com/question/16316212

#SPJ12

The higher the object is and the heavier it is, the less gravitational potential energy it stores.
A. True
B. False

Formulating a Hypothesis
Write a hypothesis about the effect of the fan speed on
the acceleration of the cart. Use the "if then
because "format and be sure to answer the lesson
question: "How does an object's position and velocity
change as the object accelerates?"

A scooter traveling at 4 m/s rides 800 meters. For what duration of time has the scooter been traveling?

A ball thrown at 4 meters/second exerts 200 Newtons of force. The mass of the ball is:

The mass number minus the atomic number is equal to the number of

What is the mass and density of 237 mL of water

6.1x10^-4 in expanded form

why did she leave me

You pull a sled with a package on it across a snow-covered flat lawn. If you
apply a force of 46.8 N to the sled, it accelerates at 0.75 m/s2. What is the
combined mass of the package and the sled? (Assume there is no friction.)
A. 62.40 kg
B. 52.50 kg
C. 96.75 kg
D. 35.10 kg

When you put your hands on a cold object, like
a glass of ice water, your hands become____________
The glass of water______________becomes
___________if you leave your hands on it for a long time. If you
leave the glass of ice water out in the sun, the
ice will start to ____________________.

Describe two uses for a member of each representative group.

a macine that increases speed, a machine that changes the direction of force and a machine that increases force

A passenger train travels from Orange Grove to Lyman, a distance of 430 km. If the route takes 5.6 h, what is the train's speed?

12.
Which of the following does NOT describes alpha decay?
a. changes the elemental identity of the atom c. absorbs binding energy to produce more stable
nucleus
b. emits a high energy helium nucleus d. mostly occurs in proton heavy nuclei below the zone of
stability

Calculate the mass (in g) of 0.8 cm³ of steel. The density of steel is 7.8 g/cm³. Give your answer to 2 decimal places.

Anyone knows this please help me

what do you mean by momentum.Explain​

In a mixture the original substances change to form a new substance.
A. True

B. False

Q#1 A car is observed traveling 133 m in 4.5 seconds. (Show work)
A) What is its Velocity in m/s?

B) How long would it take this car to travel 3500m?

Someone Pls help me it will help. I will give brainlist.

hi :) why is the second last (about radiation through vacuum) false?

Question 2
1 pts
A study performed yielded results that indicated the more natural sunlight a person was
exposed to, the more likely they were to show increases in serotonin in their
bloodstreams. This correlation is an example of a
correlation

If the entire chart repersents 100 homes, how many households have a pet bird?

What is an example of a material that has been modified to be used in a new or improved technology?

how is sound wave produced?​

A scientist conducting a field investigation records measurements of very low pressure and high relative humidity at the top of a mountain. A weather map indicates that a warm front is approaching the mountain. Which condition would the scientist most likely observe at the top of the mountain?

What mass of silver will occupy a volume of 87.75 mL?
The density of silver is 10.49 g/mL.​

Astronomers observe a spectral analysis of a distant star where a particular element has a spectral line with a wavelength of 663 nm. In the laboratory, the same element has a spectral line with a wavelength of 645 nm.
a. How fast is the star moving, and in what direction is it moving?

b. The same element on Earth’s surface is observed from a space shuttle orbiting at 7800 m/s,
350 km above Earth. Is the same shift in the spectral line seen from the space shuttle? Why or why not?

This element has four valance electrons and four energy levels.

what does acceleration always refers as