How do you calculate finge width without the wavelength ?

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To calculate fringe width without knowing the wavelength, the discussion focuses on using the fringe spacing formula Y = D(lamda) / d. Given the distances across 20 fringe spacings at two different screen distances, the fringe widths were calculated as Y1 = 2.90 mm and Y2 = 3.70 mm. The wavelength for each setup was derived using the formula, resulting in (lamda)1 = 4.80 mm and (lamda)2 = 9.60 mm. The calculations demonstrate how to relate fringe spacing to screen distance and slit separation. This method allows for the determination of wavelength indirectly through measured fringe patterns.
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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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