Wedge interference - solving for 'separation of fringes' without lambda

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SUMMARY

The discussion focuses on calculating the separation of dark fringes in an interference pattern created by plane glass plates held apart by a wire. The key equations used are t = x * theta = m * (lambda/2) and delta x = x * (lambda/(2*t)). It is established that the wavelength of filtered green mercury light is essential for determining fringe width, as it directly influences the calculations. Without knowing the wavelength, further calculations for fringe separation cannot proceed effectively.

PREREQUISITES
  • Understanding of interference patterns in optics
  • Familiarity with the concepts of wavelength and fringe separation
  • Knowledge of basic trigonometry and ratios
  • Ability to manipulate equations involving variables
NEXT STEPS
  • Research the wavelength of filtered green mercury light (approximately 546 nm)
  • Study the principles of thin film interference
  • Learn about the calculation of fringe width in interference patterns
  • Explore applications of interference in optical devices
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Students in physics, particularly those studying optics, as well as educators and anyone interested in understanding interference phenomena and calculations related to fringe patterns.

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Homework Statement


plane plates of glass are in contact along one side and held apart by a wire 0.05mm in diameter, parallel to the edge in contact and 20cm distant. using filtered green mercury light, directed normally on the air film between plates, interference fringes are seen. calculate the separation of dark fringes. how many fringes appear between the edge and the wire?


Homework Equations


t=x*theta=m*(lambda/2)
delta x = x*(lambda/(2*t))


The Attempt at a Solution


i've been using ratio and proportion here since theta will remain constant. however, i cannot get to cancel out lambda nor m. is it necessary to solve for the wavelength of 'filtered green mercury light' first, so everything else will be plug and chug?
 
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Yes. Without the wave length you cannot find the fring width.
 

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