Math Problem Statement

what is the answer

Which type of wave interaction is shown in the diagram?

Solution

The diagram illustrates two waves, labeled "wave A" and "wave B," which are interacting to produce a resulting wave, labeled "wave A + B." Both wave A and wave B are sinusoidal waves, and when they are added together, the resulting wave is a flat line, indicating that they cancel each other out completely.

This phenomenon is known as destructive interference, which occurs when two waves are exactly out of phase, meaning that the crest of one wave aligns with the trough of the other, resulting in cancellation.

Therefore, the correct answer is:

A. Destructive interference

Would you like more details or have any other questions?

Here are 5 related questions you might find helpful:

  1. What is constructive interference?
  2. How does destructive interference affect sound waves?
  3. What is the mathematical condition for two waves to interfere destructively?
  4. Can destructive interference occur in all types of waves, like light and sound?
  5. How do we measure the phase difference between two interfering waves?

Tip: Destructive interference occurs when the phase difference between two waves is an odd multiple of π (i.e., 180°), leading to cancellation.