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.
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