What is the width of the second slit in a single-slit diffraction experiment?

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SUMMARY

The width of the second slit in a single-slit diffraction experiment can be determined by analyzing the change in the width of the central bright fringe. Initially, with a slit width of 3.48E-5 m, the central fringe measures 1.37 cm. When a second slit is introduced, the fringe width increases to 1.88 cm. The relationship between slit width and fringe width indicates that the width of the second slit is narrower than the first, calculated using the formula for single-slit diffraction.

PREREQUISITES
  • Understanding of single-slit diffraction principles
  • Familiarity with the relationship between slit width and fringe width
  • Basic knowledge of trigonometric approximations (sinθ ∼ tanθ)
  • Ability to apply relevant equations in optics
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  • Study the derivation of the single-slit diffraction formula
  • Learn how to calculate fringe widths for multiple slits
  • Explore the effects of varying slit widths on diffraction patterns
  • Investigate the impact of wavelength on diffraction phenomena
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Physics students, educators, and anyone interested in optics and wave phenomena will benefit from this discussion.

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Homework Statement



In a single-slit diffraction pattern on a flat screen, the central bright fringe is 1.37 cm wide when the slit width is 3.48E-5 m. When the slit is replaced by a second slit, the wavelength of the light and the distance to the screen remaining unchanged, the central bright fringe broadens to a width of 1.88 cm. What is the width of the second slit? It may be assumed that θ is so small that sinθ ∼ tanθ.


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