Two-Slit Interference: Find Slit Separation

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Homework Statement



Using a conventional two-slit apparatus with light of wavelength 540 nm, 33 bright fringes per centimeter are observed on a screen 3.8 m away. What is the slit separation?

Homework Equations


m/x = (2*theta)/wavelength = number of fringes per meter
interence maxima
dsin(theta) =m*(wavelength)


The Attempt at a Solution


i tried solving for theta then using that value to find slit separation d but i am totally confused.
 
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i got the answer.
fringe spacing = ((wavelength)*L)/d
L = distance to screen
d = slit separation

the fringe spacing would be the inverse of 33fringes per cm or ((3300)/m)^-1 then just solve for d
 
To solve this, I first used the units to work out that a= m* a/m, i.e. t=z/λ. This would allow you to determine the time duration within an interval section by section and then add this to the previous ones to obtain the age of the respective layer. However, this would require a constant thickness per year for each interval. However, since this is most likely not the case, my next consideration was that the age must be the integral of a 1/λ(z) function, which I cannot model.
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