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In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and t

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Question: In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and the wavelength of light in air is 600 nm, what is the wavelength of light in the oil?

Options:

  1. 400 nm
  2. 500 nm
  3. 600 nm
  4. 700 nm

Correct Answer: 600 nm

Solution:

Wavelength in oil = λ/n, where n is the refractive index of oil. Assuming n = 1.5, λ_oil = 600 nm / 1.5 = 400 nm.

In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and t

Practice Questions

Q1
In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and the wavelength of light in air is 600 nm, what is the wavelength of light in the oil?
  1. 400 nm
  2. 500 nm
  3. 600 nm
  4. 700 nm

Questions & Step-by-Step Solutions

In a thin film of oil on water, if the thickness of the oil film is 0.5 μm and the wavelength of light in air is 600 nm, what is the wavelength of light in the oil?
  • Step 1: Understand that the wavelength of light changes when it enters a different medium, like oil.
  • Step 2: Know the formula to find the wavelength in a new medium: Wavelength in oil = Wavelength in air / Refractive index of oil.
  • Step 3: Identify the given values: Wavelength in air = 600 nm and the refractive index of oil (n) is assumed to be 1.5.
  • Step 4: Plug the values into the formula: Wavelength in oil = 600 nm / 1.5.
  • Step 5: Calculate the result: 600 nm divided by 1.5 equals 400 nm.
  • Step 6: Conclude that the wavelength of light in the oil is 400 nm.
  • Wavelength in Different Media – The concept of how the wavelength of light changes when it passes from one medium to another, based on the refractive index.
  • Refractive Index – Understanding the refractive index of materials and its role in determining the speed and wavelength of light in those materials.
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