Valentin K. answered 03/27/24
Expert PhD tutor in Calculus, Statistics, and Physics
The condition for the first minimum is
dsinθ = λ/2 (the two waves are out of phase by 180°, so they cancel out at that spot)
You know λ = 420nm and θ = 49°. Solve the equation for the distance between the slits d.
I hope this helps.