What is the path difference for the first minimum in a double-slit experiment?

Practice Questions

Q1
What is the path difference for the first minimum in a double-slit experiment?
  1. λ/2
  2. λ
  3. 3λ/2

Questions & Step-by-Step Solutions

What is the path difference for the first minimum in a double-slit experiment?
  • Step 1: Understand that in a double-slit experiment, light waves pass through two slits and create an interference pattern on a screen.
  • Step 2: Know that constructive interference occurs when waves meet in phase, and destructive interference occurs when waves meet out of phase.
  • Step 3: Recognize that for the first minimum (the first dark spot) in the interference pattern, the waves from the two slits must be out of phase by half a wavelength.
  • Step 4: Remember that the wavelength of the light is represented by λ (lambda).
  • Step 5: Conclude that the path difference for the first minimum is λ/2, which causes the waves to cancel each other out, resulting in a dark spot.
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