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What is the condition for constructive interference in two coherent waves?

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Question: What is the condition for constructive interference in two coherent waves?

Options:

  1. Path difference = (n + 0.5)λ
  2. Path difference = nλ
  3. Path difference = (n + 1)λ/2
  4. Path difference = (n - 0.5)λ

Correct Answer: Path difference = nλ

Solution:

Constructive interference occurs when the path difference between two coherent waves is an integer multiple of the wavelength, nλ.

What is the condition for constructive interference in two coherent waves?

Practice Questions

Q1
What is the condition for constructive interference in two coherent waves?
  1. Path difference = (n + 0.5)λ
  2. Path difference = nλ
  3. Path difference = (n + 1)λ/2
  4. Path difference = (n - 0.5)λ

Questions & Step-by-Step Solutions

What is the condition for constructive interference in two coherent waves?
  • Constructive Interference – Constructive interference occurs when two coherent waves combine to produce a wave of greater amplitude, which happens when their path difference is an integer multiple of the wavelength.
  • Coherent Waves – Coherent waves are waves that maintain a constant phase relationship, typically produced by the same source or sources with a fixed phase difference.
  • Path Difference – The path difference is the difference in distance traveled by two waves from their source to a given point, which determines whether they interfere constructively or destructively.
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