Answer:
λ = 1.388 x 10⁻⁶ m = 1388 nm
Explanation:
We can use the Young's Double Slit experiment formula here to solve this numerical:
[tex]\Delta x = \frac{\lambda L}{d} \\\\\lambda = \frac{\Delta x d}{L}\\[/tex]
where,
λ = wavelength = ?
Δx = distance between adjacent bright fringes = 1.62 cm = 0.0162 m
d = slit separation = 0.24 mm = 0.00024 m
L = distance from screen to slits = 2.8 m
Therefore,
[tex]\lambda = \frac{(0.0162\ m)(0.00024\ m)}{2.8\ m} \\[/tex]
λ = 1.388 x 10⁻⁶ m = 1388 nm
