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What is the minimum thickness of a soap bubble for which the first order of cons

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Question: What is the minimum thickness of a soap bubble for which the first order of constructive interference occurs for light of wavelength 550 nm?

Options:

  1. 275 nm
  2. 550 nm
  3. 1100 nm
  4. 825 nm

Correct Answer: 275 nm

Solution: 

For constructive interference, the minimum thickness t = λ/2 = 550 nm / 2 = 275 nm.

What is the minimum thickness of a soap bubble for which the first order of cons

Practice Questions

Q1
What is the minimum thickness of a soap bubble for which the first order of constructive interference occurs for light of wavelength 550 nm?
  1. 275 nm
  2. 550 nm
  3. 1100 nm
  4. 825 nm

Questions & Step-by-Step Solutions

What is the minimum thickness of a soap bubble for which the first order of constructive interference occurs for light of wavelength 550 nm?
  • Step 1: Understand that a soap bubble creates interference patterns when light reflects off its surfaces.
  • Step 2: Know that constructive interference occurs when the light waves reinforce each other.
  • Step 3: For the first order of constructive interference, the condition is that the thickness of the bubble (t) should be equal to half the wavelength of the light (λ/2).
  • Step 4: The given wavelength of light is 550 nm.
  • Step 5: Calculate the minimum thickness by dividing the wavelength by 2: t = 550 nm / 2.
  • Step 6: Perform the calculation: 550 nm / 2 = 275 nm.
  • Step 7: Conclude that the minimum thickness of the soap bubble for the first order of constructive interference is 275 nm.
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