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In a thin film of soap, if the refractive index is 1.33 and the wavelength of li

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Question: In a thin film of soap, if the refractive index is 1.33 and the wavelength of light in air is 500 nm, what is the effective wavelength in the film?

Options:

  1. 375 nm
  2. 500 nm
  3. 600 nm
  4. 750 nm

Correct Answer: 375 nm

Solution:

Effective wavelength in the film = λ/n = 500 nm / 1.33 ≈ 375 nm.

In a thin film of soap, if the refractive index is 1.33 and the wavelength of li

Practice Questions

Q1
In a thin film of soap, if the refractive index is 1.33 and the wavelength of light in air is 500 nm, what is the effective wavelength in the film?
  1. 375 nm
  2. 500 nm
  3. 600 nm
  4. 750 nm

Questions & Step-by-Step Solutions

In a thin film of soap, if the refractive index is 1.33 and the wavelength of light in air is 500 nm, what is the effective wavelength in the film?
  • Step 1: Understand that the refractive index (n) of a material affects the speed of light in that material.
  • Step 2: Know that the wavelength of light changes when it enters a different medium, and it can be calculated using the formula: effective wavelength in the film = wavelength in air / refractive index.
  • Step 3: Identify the given values: the wavelength in air (λ) is 500 nm and the refractive index (n) is 1.33.
  • Step 4: Plug the values into the formula: effective wavelength in the film = 500 nm / 1.33.
  • Step 5: Perform the division: 500 nm divided by 1.33 equals approximately 375 nm.
  • Step 6: Conclude that the effective wavelength of light in the soap film is about 375 nm.
  • Refraction and Wavelength in Different Media – Understanding how the wavelength of light changes when it passes from one medium to another with a different refractive index.
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