The double slit produces equally spaced interference fringes ..
Fringe separation y = λD/a ----- (1) .. D = slits to screen distance, a= slit separation
Geometry for the 3rd order fringe ..
Sin 7.10 ≈ 3y / D ------- (2)
Combining 1 and 2 ..
Sin 7.10 ≈ 3(λD/a) / D
λ = a.sin7.10 / 3 .. .. 4.60^-5m x sin7.10 / 3 .. .. .. ►λ = 1.90 ^-6 m
Fringe separation y = λD/a ----- (1) .. D = slits to screen distance, a= slit separation
Geometry for the 3rd order fringe ..
Sin 7.10 ≈ 3y / D ------- (2)
Combining 1 and 2 ..
Sin 7.10 ≈ 3(λD/a) / D
λ = a.sin7.10 / 3 .. .. 4.60^-5m x sin7.10 / 3 .. .. .. ►λ = 1.90 ^-6 m