Physics help, thank you!?

Light shines through a single slit whose width is 5.9 × 10-4 m. A diffraction pattern is formed on a flat screen located 4.0 m away. The distance between the middle of the central bright fringe and the first dark fringe is 3.0 mm. What is the wavelength of the light?
λ =

?2021-04-01T12:42:41Z

For destructive interference ("dark fringe"), D*sinΘ = mλ
Θ = arctan(3.0mm / 4000mm) = 0.043º

λ = DsinΘ / m = 5.9e-4m * sin0.043º / 1 = 4.42e-7 m = 442 nm

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