For a single slit of width 'a', what is the angular position of the first minimu

Practice Questions

Q1
For a single slit of width 'a', what is the angular position of the first minimum?
  1. λ/a
  2. a/λ
  3. sin θ = λ/a
  4. tan θ = λ/a

Questions & Step-by-Step Solutions

For a single slit of width 'a', what is the angular position of the first minimum?
  • Step 1: Understand that we are dealing with a single slit of width 'a'.
  • Step 2: Know that when light passes through a slit, it creates a pattern of bright and dark spots on a screen.
  • Step 3: The dark spots (minima) occur at specific angles, which we can calculate.
  • Step 4: The formula for the angular position of the first minimum is given by sin θ = λ/a, where λ is the wavelength of the light.
  • Step 5: To find the angle θ, you can rearrange the formula to θ = arcsin(λ/a) if needed.
  • Single Slit Diffraction – The phenomenon where light spreads out after passing through a narrow opening, leading to a pattern of dark and bright fringes.
  • Minima in Diffraction Patterns – The positions where destructive interference occurs, leading to dark spots in the diffraction pattern.
  • Wavelength and Slit Width Relationship – The relationship between the wavelength of light and the width of the slit that determines the angular position of minima.
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