Answer:
575 nm
Explanation:
The variables in the given problem are Δy, λ, L, and d. In order to estimate the wavelength of the beam, we can use the equation below:
Δy = λ*L/d
Where:
Δy is the space between the fringes which is equivalent to 2.3*10^-2 m.
λ is the unknown wavelength in m
L is 1.0 m
d is the separation of the young's double slit which is equal to 2.5*10^-5 m
Thus:
λ = Δy*d/L = (2.3*10^-2)*(2.5*10^-5)/1 = 575*10^-9 m = 575 nm
Therefore, the wavelength of the beam is 575 nm.