In a thin film interference, which of the following conditions leads to a dark f

Practice Questions

Q1
In a thin film interference, which of the following conditions leads to a dark fringe?
  1. Path difference is an even multiple of lambda
  2. Path difference is an odd multiple of lambda
  3. Path difference is zero
  4. Path difference is an odd multiple of lambda/2

Questions & Step-by-Step Solutions

In a thin film interference, which of the following conditions leads to a dark fringe?
Correct Answer: Path difference is an odd multiple of λ/2
  • Step 1: Understand that thin film interference happens when light waves reflect off the top and bottom surfaces of a thin film.
  • Step 2: Know that when light waves meet, they can either add together (constructive interference) or cancel each other out (destructive interference).
  • Step 3: Recognize that a dark fringe appears when the light waves cancel each other out.
  • Step 4: Learn that this cancellation happens when the path difference between the two waves is an odd multiple of half the wavelength (λ/2).
  • Step 5: Conclude that for a dark fringe, the condition is that the path difference = (2n + 1)(λ/2), where n is an integer (0, 1, 2, ...).
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