A 680 nm laser illuminates a double slit apparatus with a slit separation distance of 7.83 μm. On the viewing screen, you measure the distance from the central bright fringe to the 2nd bright fringe to be 88.2 cm. How far away (in meters) is the viewing screen from the double slits?

L = 5.08 10⁻¹ m = 50.8 cm

Explanation:

In a double slit experiment for constructive interference is given by

           d sin θ = m λ

let's use trigonometry to find a relationship with the distance

           tan θ = y / L

these experiments are very small angles

           tan θ = = sin θ

when substituting

           sin θ = y / L

substituting in the first equation

           d y / L = m λ

           L =

let's calculate

           L =

           L = 5.08 10⁻¹ m

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