Answer:
λ = 5.734 x 10⁻⁷ m = 573.4 nm
Explanation:
The formula of the Young's Double Slit experiment is given as follows:
[tex]\Delta x = \frac{\lambda L}{d}\\\\\lambda = \frac{\Delta x d}{L}[/tex]
where,
λ = wavelength = ?
L = distance between screen and slits = 8.61 m
d = slit spacing = 1.09 mm = 0.00109 m
Δx = distance between consecutive bright fringes = [tex]\frac{4.53\ cm}{10}[/tex] = 0.00453 m
Therefore,
[tex]\lambda = \frac{(0.00453\ m)(0.00109\ m)}{8.61\ m}[/tex]
λ = 5.734 x 10⁻⁷ m = 573.4 nm
