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Two coherent sources emit waves of the same frequency. If the phase difference b

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Question: Two coherent sources emit waves of the same frequency. If the phase difference between the waves is π radians, what type of interference occurs?

Options:

  1. Constructive interference
  2. Destructive interference
  3. No interference
  4. Partial interference

Correct Answer: Destructive interference

Solution: 

A phase difference of π radians corresponds to a path difference of λ/2, leading to destructive interference.

Two coherent sources emit waves of the same frequency. If the phase difference b

Practice Questions

Q1
Two coherent sources emit waves of the same frequency. If the phase difference between the waves is π radians, what type of interference occurs?
  1. Constructive interference
  2. Destructive interference
  3. No interference
  4. Partial interference

Questions & Step-by-Step Solutions

Two coherent sources emit waves of the same frequency. If the phase difference between the waves is π radians, what type of interference occurs?
  • Step 1: Understand that coherent sources emit waves that have the same frequency.
  • Step 2: Know that phase difference is the difference in the phase of two waves at a given point.
  • Step 3: Recognize that a phase difference of π radians means the waves are out of sync by half a wavelength.
  • Step 4: Remember that a path difference of λ/2 (half the wavelength) leads to destructive interference.
  • Step 5: Conclude that since the phase difference is π radians, the type of interference that occurs is destructive interference.
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