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What is the maximum number of bright fringes that can be observed in a double-sl

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Question: What is the maximum number of bright fringes that can be observed in a double-slit experiment with a given wavelength? (2023)

Options:

  1. Depends on the slit width
  2. Depends on the distance to the screen
  3. Depends on the wavelength and slit separation
  4. Always infinite

Correct Answer: Depends on the wavelength and slit separation

Exam Year: 2023

Solution: 

The maximum number of bright fringes depends on the wavelength and the slit separation, as it determines how many integer multiples of the wavelength fit within the observable range.

What is the maximum number of bright fringes that can be observed in a double-sl

Practice Questions

Q1
What is the maximum number of bright fringes that can be observed in a double-slit experiment with a given wavelength? (2023)
  1. Depends on the slit width
  2. Depends on the distance to the screen
  3. Depends on the wavelength and slit separation
  4. Always infinite

Questions & Step-by-Step Solutions

What is the maximum number of bright fringes that can be observed in a double-slit experiment with a given wavelength? (2023)
  • Step 1: Understand that a double-slit experiment creates bright and dark fringes on a screen due to interference of light.
  • Step 2: Know that bright fringes occur at specific angles where the light waves from the two slits meet in phase.
  • Step 3: The condition for bright fringes is given by the formula: d * sin(θ) = n * λ, where d is the slit separation, θ is the angle, n is the order of the fringe (0, 1, 2, ...), and λ is the wavelength of the light.
  • Step 4: Realize that the maximum value of n (the order of the fringe) is limited by the maximum angle θ, which can be 90 degrees (sin(90°) = 1).
  • Step 5: Rearrange the formula to find the maximum n: n_max = d / λ.
  • Step 6: This means the maximum number of bright fringes is determined by how many times the wavelength fits into the slit separation.
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