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

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Question: In a thin film interference, if the film is of thickness t and the refractive index is n, what is the condition for constructive interference?

Options:

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

Correct Answer: 2nt = mλ

Solution: 

For constructive interference in thin films, the condition is 2nt = mλ, where m is an integer.

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

Practice Questions

Q1
In a thin film interference, if the film is of thickness t and the refractive index is n, what is the condition for constructive interference?
  1. 2nt = (m + 1/2)λ
  2. 2nt = mλ
  3. 2nt = (m - 1/2)λ
  4. 2nt = mλ/2

Questions & Step-by-Step Solutions

In a thin film interference, if the film is of thickness t and the refractive index is n, what is the condition for constructive interference?
  • Step 1: Understand that thin film interference occurs when light waves reflect off the top and bottom surfaces of a thin film.
  • Step 2: Recognize that for constructive interference, the waves must be in phase, meaning they reinforce each other.
  • Step 3: Know that the path difference between the two waves is important. The path difference is given by 2nt, where n is the refractive index and t is the thickness of the film.
  • Step 4: For constructive interference, this path difference must equal an integer multiple of the wavelength (λ) of the light used. This is expressed as 2nt = mλ, where m is an integer (0, 1, 2, ...).
  • Step 5: Conclude that the condition for constructive interference in a thin film is 2nt = mλ.
  • Thin Film Interference – The phenomenon where light waves reflected from the top and bottom surfaces of a thin film interfere with each other, leading to constructive or destructive interference based on the film's thickness and refractive index.
  • Constructive Interference Condition – The specific condition for constructive interference in thin films, given by the equation 2nt = mλ, where m is an integer representing the order of interference.
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