Why Does the Width of Dark Rings Decrease in Newton's Rings Experiment?

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SUMMARY

The width of dark rings in Newton's Rings Experiment decreases as one moves away from the center due to the changing separation between the two surfaces involved. The phenomenon occurs because the curvature of the convex lens alters the distance between the surfaces, leading to varying interference patterns. As the radius increases, the spacing between the rings becomes less pronounced, resulting in narrower dark rings. This behavior is a direct consequence of the principles of wave interference and the geometry of the setup.

PREREQUISITES
  • Understanding of wave interference principles
  • Familiarity with optics and lens curvature
  • Knowledge of Newton's Rings Experiment setup
  • Basic concepts of light behavior in different mediums
NEXT STEPS
  • Study the mathematical derivation of the radius of dark rings in Newton's Rings Experiment
  • Explore the effects of different lens curvatures on interference patterns
  • Investigate the role of wavelength in determining ring width
  • Learn about other interference phenomena, such as Young's Double Slit Experiment
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Physics students, educators, and researchers interested in optical experiments and wave interference phenomena.

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why the width of dark ring decreases as we go away from the center in Newton's rings experiment?
 
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Hello and welcome to PF.
I will not give you the simple answer but you can maybe answer it yourself if you consider the following:
Why do you get cancellation at all? What is it about the separation of the two surfaces that makes it happen. How does the spacing between the two surfaces change as you move away from the contact point when one of the surfaces has a convex curve?
 
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