Dark fringes for single-slit diffraction

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SUMMARY

The discussion focuses on calculating the number of dark fringes produced in a single-slit diffraction pattern when light with a wavelength of 651 nm is incident on a slit width of 5.47 x 10-6 m. The formula used is sin(θ) = m * (wavelength / w), where m represents the order of the dark fringe. By incrementing m starting from 1, users can determine the angles θ until the sine function exceeds its maximum value of 1, indicating the limit of observable dark fringes.

PREREQUISITES
  • Understanding of single-slit diffraction principles
  • Familiarity with the wave nature of light
  • Basic trigonometry and sine function properties
  • Knowledge of wavelength and slit width measurements
NEXT STEPS
  • Calculate the angles for dark fringes using the formula sin(θ) = m * (wavelength / w)
  • Explore the impact of varying slit widths on diffraction patterns
  • Investigate the relationship between wavelength and fringe spacing
  • Learn about multi-slit interference and its differences from single-slit diffraction
USEFUL FOR

Physics students, educators, and anyone interested in wave optics and diffraction phenomena.

golriz
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How many dark fringes will be produced n either side of the central maximum if light (its wavelength is 651 nm ) is incident on a single slit that is 5.47x10^-6 m wide?


sin (theta) = m.wavelength/w
 
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Looks good. Find theta when m = 1. Then for m = 2, and so on until it doesn't work anymore.
 

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