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In a thin film interference, if the film is of thickness t and the wavelength of

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Question: In a thin film interference, if the film is of thickness t and the wavelength of light is λ, what is the condition for destructive interference?

Options:

  1. 2t = (m + 1/2)λ
  2. 2t = mλ
  3. t = mλ
  4. t = (m + 1/2)λ

Correct Answer: 2t = (m + 1/2)λ

Solution: 

Destructive interference occurs when 2t = (m + 1/2)λ, where m is an integer.

In a thin film interference, if the film is of thickness t and the wavelength of

Practice Questions

Q1
In a thin film interference, if the film is of thickness t and the wavelength of light is λ, what is the condition for destructive interference?
  1. 2t = (m + 1/2)λ
  2. 2t = mλ
  3. t = mλ
  4. t = (m + 1/2)λ

Questions & Step-by-Step Solutions

In a thin film interference, if the film is of thickness t and the wavelength of light is λ, what is the condition for 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 for destructive interference, the waves need to cancel each other out.
  • Step 3: Realize that when light reflects off a surface, it can undergo a phase change. For a film with a higher refractive index, the wave reflecting off the top surface undergoes a phase change of 180 degrees (or half a wavelength).
  • Step 4: For destructive interference, the path difference between the two waves must equal an odd multiple of half the wavelength. This means the waves are out of phase.
  • Step 5: The condition for destructive interference can be expressed mathematically as 2t = (m + 1/2)λ, where m is an integer (0, 1, 2, ...).
  • Thin Film Interference – This concept involves the interaction of light waves reflected from the top and bottom surfaces of a thin film, leading to constructive or destructive interference based on the film's thickness and the wavelength of light.
  • Destructive Interference Condition – The specific condition for destructive interference in thin films, which occurs when the path difference between the two reflected waves results in a phase difference of half a wavelength.
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