Wave constructive destructive interference

Click For Summary
SUMMARY

The discussion centers on the constructive and destructive interference of water waves generated by two sources, A and B. The individual wave crests from both sources are 5 mm above the undisturbed water level. At point "x," the displacement can be determined through the interference pattern, leading to potential displacements of +10 mm, 0 mm, -10 mm, +5 mm, or -5 mm. The consensus among participants confirms that the interference of two troughs results in a displacement of -10 mm.

PREREQUISITES
  • Understanding of wave interference principles
  • Knowledge of wave crest and trough definitions
  • Familiarity with amplitude concepts in wave physics
  • Basic skills in interpreting graphical representations of waves
NEXT STEPS
  • Study the principles of constructive and destructive interference in wave physics
  • Learn about the mathematical representation of wave functions
  • Explore real-world applications of wave interference, such as in acoustics
  • Investigate the effects of varying wave amplitudes on interference patterns
USEFUL FOR

Students studying physics, educators teaching wave mechanics, and anyone interested in understanding wave behavior and interference phenomena.

Tarnjot Bains

Homework Statement


The figure shows two sets of water waves, created by two sources labeled "A" and "B." The solid half-circles represent wave crests from A, and the dashed half-circles represent wave crests from B. Suppose that individual wave crests from either source A or source B alone are 5 mm above the level of the undisturbed water. Then the displacement of the water [above or below the level of the undisturbed water] at the point marked "x" [with the arrow pointing toward it] is

1. +5 mm.
2. -5 mm.
3. +10 mm.
4. 0 mm.
5. -10 mm.
ewe8qm

img url: https://ibb.co/ewe8qm

Homework Equations


None

The Attempt at a Solution


Assuming that the two waves interfere at the point I guessed two troughs would interfere and I'd get a displacement of -10, but I'm not quite sure if this is what would occur.
 
Physics news on Phys.org
Welcome to PF!
I think your reasoning is correct.
 
  • Like
Likes   Reactions: Tarnjot Bains
TSny said:
Welcome to PF!
I think your reasoning is correct.
Thank you!
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
3K
  • · Replies 17 ·
Replies
17
Views
3K
  • · Replies 12 ·
Replies
12
Views
9K
Replies
20
Views
5K
  • · Replies 20 ·
Replies
20
Views
3K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 1 ·
Replies
1
Views
1K