Constructive or destructive interference after a set number of waves?

In summary, the problem involves two sources, S1 and S2, emitting circular waves that are in phase and have the same frequency, wavelength, and amplitude. The question is whether there will be a maxima or minima at two given points, S1P = 5.00 m and S2P = 6.50 m, and S1P = 5.00 m and S2P = 4.75 m. The attempt at a solution involved drawing the waves and finding equations, but this was unsuccessful. However, by looking at the path difference between the two sources, the number of wavelengths that fit in that distance can determine whether there will be a maxima or minima at the given points.
  • #1
kontorstol
8
0

Homework Statement


Two sources, S1 and S2, send our circular waves that are in phase and of the same frequency. They have the same wavelength (0,5m) and the same amplitude. Will there be a maxima og a minima at the given points:

a) S1P = 5.00 m og S2P = 6.50 m?

b) S1P = 5.00 m og S2P = 4.75 m?


Homework Equations


No equations that I can find.


The Attempt at a Solution


I have tried to draw the waves from two points, but it ended up as a mess. I have tried to find some equations for finding this, but I have not found any.

If someone got the time, I would prefer a explanation, and not just an answer. Thank you. :)
 
Physics news on Phys.org
  • #2
No info on how far apart the two sources are?
 
  • #3
kontorstol said:

Homework Statement


Two sources, S1 and S2, send our circular waves that are in phase and of the same frequency. They have the same wavelength (0,5m) and the same amplitude. Will there be a maxima og a minima at the given points:

a) S1P = 5.00 m og S2P = 6.50 m?

b) S1P = 5.00 m og S2P = 4.75 m?

Homework Equations


No equations that I can find.

The Attempt at a Solution


I have tried to draw the waves from two points, but it ended up as a mess. I have tried to find some equations for finding this, but I have not found any.

If someone got the time, I would prefer a explanation, and not just an answer. Thank you. :)

I don't know what "o g" means :-)

I am assuming they are given the distances to the two sources. Then just look at |S1P-S2P| which is the path difference and see how many wavelengths fit in those intervals. This leads to the answer.
 

1. What is constructive interference after a set number of waves?

Constructive interference occurs when two waves of the same frequency and amplitude meet and their crests (highest points) align, resulting in a larger and more intense wave. After a set number of waves, this effect can be observed when the waves are in phase, meaning their peaks and troughs line up perfectly.

2. How does destructive interference work after a set number of waves?

Destructive interference occurs when two waves of the same frequency and amplitude meet and their crests and troughs (lowest points) align, resulting in a cancellation of the waves. After a set number of waves, this effect can be observed when the waves are out of phase, meaning their peaks and troughs do not line up.

3. What is the difference between constructive and destructive interference?

The main difference between constructive and destructive interference is the resulting wave. Constructive interference creates a larger and more intense wave, while destructive interference cancels out the waves. This is determined by the alignment of the waves' peaks and troughs.

4. How does the number of waves affect constructive and destructive interference?

The number of waves determines how often constructive and destructive interference will occur. As the waves continue to meet, the pattern of interference will repeat, resulting in a consistent amplification or cancellation of the waves. The more waves that pass, the more noticeable the interference effects will be.

5. Can constructive and destructive interference occur simultaneously after a set number of waves?

Yes, it is possible for constructive and destructive interference to occur at the same time after a set number of waves. This can happen if there are multiple waves interfering with each other, resulting in a combination of amplified and cancelled waves. This can create complex wave patterns and is often observed in real-world scenarios.

Similar threads

Olympiad question on destructive interference
    • Introductory Physics Homework Help
Replies
3
Views
683
Constructive, destructive interference help please
    • Introductory Physics Homework Help
Replies
10
Views
978
Wave constructive destructive interference
    • Introductory Physics Homework Help
Replies
2
Views
1K
Frequency at which no destructive interference occurs
    • Introductory Physics Homework Help
Replies
7
Views
1K
Light (Constructive/Destructive Interference)
    • Introductory Physics Homework Help
Replies
5
Views
2K
HW Question regarding double-slit interference
    • Introductory Physics Homework Help
Replies
8
Views
1K
Destructive vs Constructive interference
    • Introductory Physics Homework Help
Replies
2
Views
3K
I Energy of Electromagnetic Waves in Destructive Interference
    • Optics
2
Replies
54
Views
5K
Is there constructive or destructive interference?
    • Introductory Physics Homework Help
Replies
20
Views
2K
Constructive Interference from Speakers on an x-axis
    • Introductory Physics Homework Help
Replies
2
Views
571

Hot Threads

Recent Insights

Back
Top