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

Practice Questions

Q1
In a thin film of oil on water, which color will appear at the center of the film if the oil has a thickness of λ/2?
  1. Red
  2. Blue
  3. Green
  4. No color

Questions & Step-by-Step Solutions

In a thin film of oil on water, which color will appear at the center of the film if the oil has a thickness of λ/2?
  • Step 1: Understand that a thin film of oil on water can create colors due to interference of light.
  • Step 2: Know that the thickness of the oil film is given as λ/2, where λ is the wavelength of light.
  • Step 3: Recognize that when light reflects off the top and bottom surfaces of the oil film, it can interfere with itself.
  • Step 4: Identify that destructive interference occurs when the path difference between the two reflected light waves is equal to half a wavelength (λ/2).
  • Step 5: Since the thickness of the oil film is λ/2, this means that destructive interference will happen for all wavelengths of visible light.
  • Step 6: Conclude that at the center of the film, where destructive interference occurs, no color will be visible.
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