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What is the phase difference between two waves that interfere destructively?

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Question: What is the phase difference between two waves that interfere destructively?

Options:

  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 3π/2 radians

Correct Answer: π radians

Solution:

Destructive interference occurs when the phase difference is π radians (or an odd multiple of π).

What is the phase difference between two waves that interfere destructively?

Practice Questions

Q1
What is the phase difference between two waves that interfere destructively?
  1. 0 radians
  2. π/2 radians
  3. π radians
  4. 3π/2 radians

Questions & Step-by-Step Solutions

What is the phase difference between two waves that interfere destructively?
Correct Answer: π radians
  • Step 1: Understand what waves are. Waves can be thought of as repeating patterns that move through space.
  • Step 2: Learn about interference. When two waves meet, they can combine in different ways. This is called interference.
  • Step 3: Know the two types of interference. There are two main types: constructive interference (waves add together) and destructive interference (waves cancel each other out).
  • Step 4: Focus on destructive interference. This happens when the peaks of one wave align with the troughs of another wave.
  • Step 5: Understand phase difference. The phase difference tells us how much one wave is ahead or behind another wave.
  • Step 6: Learn the specific phase difference for destructive interference. For two waves to interfere destructively, the phase difference must be π radians (or 180 degrees).
  • Step 7: Recognize that odd multiples of π also cause destructive interference. This means that 3π, 5π, etc., will also result in destructive interference.
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