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aChordate
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Homework Statement
In a version of Young’s double slit experiment, the slits are separated by a distance of
1.0 mm. The light from the slits is observed on a screen that is 12 m from the slits. If the
wavelength of the light is 550 nm, what is the linear distance on the screen between the
first order (m = 1) and second order (m = 2) dark fringes?
Homework Equations
sinθ=(m+1/2)λ/d
The Attempt at a Solution
sinθ=(1+1/2)550nm/1mm=8.25*10^-4
θ=0.04727°
sinθ=(2+1/2)550nm/1mm=0.001375
θ=0.07878°
tanθ=y/L
y = Ltanθ = 12tan0.04727
y=0.00990 m
y = Ltanθ = 12tan0.07878°
y=0.0165 m
0.165-0.00990=0.00660 m