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In a thin film of oil on water, which color will appear at the center of the pat

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Question: In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that the path difference is λ?

Options:

  1. Red
  2. Blue
  3. Green
  4. Yellow

Correct Answer: Red

Solution: 

At the center, where the path difference is λ, constructive interference occurs, and the color that appears depends on the wavelength of light, typically red for thin films.

In a thin film of oil on water, which color will appear at the center of the pat

Practice Questions

Q1
In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that the path difference is λ?
  1. Red
  2. Blue
  3. Green
  4. Yellow

Questions & Step-by-Step Solutions

In a thin film of oil on water, which color will appear at the center of the pattern if the film thickness is such that the path difference is λ?
  • Step 1: Understand that a thin film of oil on water can create colorful patterns due to interference of light.
  • Step 2: Know that interference occurs when light waves overlap, and this can be constructive or destructive.
  • Step 3: Recognize that constructive interference happens when the path difference between the light waves is a whole number multiple of the wavelength (λ).
  • Step 4: In this case, the path difference is exactly λ, which means constructive interference occurs.
  • Step 5: Understand that the color seen at the center of the pattern depends on the wavelength of light that corresponds to this path difference.
  • Step 6: Typically, for thin films, the color that appears at this path difference (λ) is red.
  • 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 the wavelength of light.
  • Path Difference – The difference in distance traveled by two light waves reflecting off different surfaces of a thin film, which determines whether they will interfere constructively or destructively.
  • Constructive Interference – Occurs when the path difference between two waves is an integer multiple of the wavelength, resulting in increased intensity and specific colors being observed.
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