Chapter 36 Problem #9 Diffraction

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SUMMARY

The discussion focuses on calculating the distance between the first two diffraction minima produced by a single slit of width 1.00mm illuminated by light of wavelength 589nm, with the screen positioned 3.00m away. The relevant formula for this calculation is derived from the single-slit diffraction equation, specifically \(y = \frac{m \lambda L}{a}\), where \(y\) is the distance from the central maximum to the m-th minimum, \(m\) is the order of the minimum, \(\lambda\) is the wavelength, \(L\) is the distance to the screen, and \(a\) is the slit width. Using this formula, the distance between the first two minima can be determined accurately.

PREREQUISITES
  • Understanding of single-slit diffraction principles
  • Familiarity with the formula \(y = \frac{m \lambda L}{a}\)
  • Basic knowledge of wave properties of light
  • Ability to perform unit conversions (e.g., mm to meters)
NEXT STEPS
  • Calculate the distance between the first two minima using the formula \(y = \frac{m \lambda L}{a}\)
  • Explore the effects of varying slit widths on diffraction patterns
  • Investigate the impact of different wavelengths of light on diffraction spacing
  • Learn about diffraction patterns in multiple slit configurations
USEFUL FOR

Physics students, educators, and anyone interested in wave optics and diffraction phenomena will benefit from this discussion.

Federico1
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A slit 1.00mm wide is illuminated by light of wavelength 589nm. We see a diffraction pattern on a screen 3.00m away. What is the distance between the first two diffraction minima on the same side of the central diffraction maximum?
 
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Federico said:
A slit 1.00mm wide is illuminated by light of wavelength 589nm. We see a diffraction pattern on a screen 3.00m away. What is the distance between the first two diffraction minima on the same side of the central diffraction maximum?

Hi Federico! Welcome to MHB! :)

Which formula do you have that applies to diffraction patterns?
 

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