Newton's Rings and plano-convez lens

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SUMMARY

The discussion centers on the phenomenon of Newton's Rings observed with a plano-convex lens resting on a flat glass surface, illuminated by light of wavelength 521 nm. A total of 15 concentric dark rings are noted, with a dark spot at the center. The thickness of the air wedge at the position of the 16th dark ring is calculated to be 3.90 x 10-7 m, derived from the relationship between the number of rings and the wavelength of light. The underlying principle is based on interference patterns, specifically applicable to thin film optics.

PREREQUISITES
  • Understanding of thin film interference
  • Familiarity with plano-convex lens properties
  • Knowledge of wavelength measurement in optics
  • Basic principles of light interference
NEXT STEPS
  • Study the derivation of the formula for Newton's Rings
  • Explore the concept of thin film interference in detail
  • Learn about the applications of plano-convex lenses in optical systems
  • Investigate the effects of varying wavelengths on interference patterns
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Students in physics, optical engineers, and anyone interested in the practical applications of interference patterns in optics.

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Homework Statement


A plano-convez lens (flat on one side, convez on the other) rests with its curved side on a flat glass surface. The lens is illuminated from above by light of wavelength 521 nm. A dark spot is observed at the centre, surrounded by 15 concentric dark rings (with bright rings in between). How much thicker is the air wedge at the position of the 16th dark ring than at the centre?


Homework Equations


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The Attempt at a Solution


The answer says 3.90 X 10^-7m. By multiplying the wavelength by 15 and then dividing it by 2, i get this answer.. by why? Is there actually an equation for these type of problems?
 
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