Two-Slit Interference: Find Slit Separation

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SUMMARY

The discussion focuses on calculating the slit separation in a two-slit interference experiment using light with a wavelength of 540 nm. Given that 33 bright fringes are observed per centimeter on a screen located 3.8 meters away, the relationship between fringe spacing and slit separation is established. The formula for fringe spacing is derived as fringe spacing = (wavelength * L) / d, where L is the distance to the screen and d is the slit separation. The solution involves converting fringe density into fringe spacing and rearranging the formula to solve for d.

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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
 

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