How do you calculate finge width without the wavelength ?

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SUMMARY

This discussion focuses on calculating fringe width using Young's double-slit experiment with monochromatic laser light. The experiment involves slits spaced 0.60mm apart, producing fringe spacings of 2.90mm and 3.70mm at distances of 0.80m and 1.60m from the slits, respectively. The calculations yield wavelengths of 4.80mm and 9.60mm for the two setups, demonstrating the relationship between fringe spacing and distance from the slits.

PREREQUISITES
  • Understanding of Young's double-slit experiment
  • Knowledge of fringe spacing calculations
  • Familiarity with wavelength and distance relationships in optics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the principles of Young's double-slit experiment in detail
  • Learn how to derive and apply the formula Y = D(λ) / d
  • Explore the effects of varying slit spacing on fringe patterns
  • Investigate the impact of different wavelengths on fringe width
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Students in physics, educators teaching optics, and anyone interested in wave interference patterns and their calculations.

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Homework Statement


Young's fringes, produced by monochromatic laser light passing through slits 0.60mm apart, are viewed on a screen. The distance accrose 20 fringe spacings on the screen is 58mm. When the screen is moved 0.80m away from the slits, the distance across 20 fringe spacings becomes 74mm.


Homework Equations


Y = D(lamda) / d
Y = Fringe Spacing
D = Distance from slits to screen
d = spacing between slits
(lamda) = Wavelength


The Attempt at a Solution

 
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Y1 = 58mm / 20 = 2.90mm Y2 = 74mm / 20 = 3.70mm (lamda)1 = Y1D1 / d (lamda)1 = 2.90(0.8) / 0.60 (lamda)1 = 4.80(lamda)2 = Y2D2 / d (lamda)2 = 3.70(1.6) / 0.60 (lamda)2 = 9.60
 

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