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

Practice Questions

Q1
In a thin film interference, which of the following conditions leads to destructive interference?
  1. 2t = (m + 1/2)λ
  2. 2t = mλ
  3. t = mλ/2
  4. t = (m + 1/2)λ/2

Questions & Step-by-Step Solutions

In a thin film interference, which of the following conditions leads to destructive interference?
  • 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 two light waves meet, they can either add together (constructive interference) or cancel each other out (destructive interference).
  • Step 3: For destructive interference to occur, the waves must be out of phase by half a wavelength.
  • Step 4: The condition for destructive interference in a thin film is when the effective path difference is an odd multiple of half the wavelength.
  • Step 5: This can be expressed mathematically as 2t = (m + 1/2)λ, where 't' is the thickness of the film, 'm' is an integer (0, 1, 2, ...), and 'λ' is the wavelength of light.
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