Violet light falls on two narrow slits 0.017 mm apart. A first-order bright line is 13.8 mm from the central?

Violet light falls on two narrow slits 0.017 mm apart. A first-order bright line is 13.8 mm from the central bright line on a screen 0.577 m from the slits. What is the wavelength of the violet light?

Violet light falls on two narrow slits 0.017 mm apart. A first-order bright line is 13.8 mm from the central?
406.5 nm. See the ref.

theta = arctan(y/D) = 2.39122524072441E-02 rad

lambda (exact) = a*sin(theta)/m = 4.06469552074105E-07 m

lambda (sm. ang. approx.) = a*y/(m*D) = 4.06585788561525E-07 m

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