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What is the formula for the fringe separation in a double-slit experiment?

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Question: What is the formula for the fringe separation in a double-slit experiment?

Options:

  1. λD/d
  2. d/λD
  3. D/λd
  4. λd/D

Correct Answer: λD/d

Solution: 

The fringe separation (β) is given by the formula β = λD/d, where λ is the wavelength, D is the distance to the screen, and d is the distance between the slits.

What is the formula for the fringe separation in a double-slit experiment?

Practice Questions

Q1
What is the formula for the fringe separation in a double-slit experiment?
  1. λD/d
  2. d/λD
  3. D/λd
  4. λd/D

Questions & Step-by-Step Solutions

What is the formula for the fringe separation in a double-slit experiment?
Correct Answer: β = λD/d
  • Step 1: Understand that the double-slit experiment involves light passing through two narrow openings (slits).
  • Step 2: Know that when light passes through the slits, it creates a pattern of bright and dark spots on a screen. These spots are called fringes.
  • Step 3: The distance between two adjacent bright spots (or dark spots) on the screen is called fringe separation, represented by the symbol β.
  • Step 4: The formula for calculating fringe separation is β = λD/d.
  • Step 5: In this formula, λ (lambda) represents the wavelength of the light used, D is the distance from the slits to the screen, and d is the distance between the two slits.
  • Step 6: To use the formula, you need to know the values of λ, D, and d.
  • Step 7: Plug in the values into the formula to calculate the fringe separation (β).
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