Answer:
λ≅[tex]4.97*10^{-4}nm[/tex]
λ≅497 nm
Explanation:
In order to find the wavelength of the light from the second source we are going follow the following procedure.
Formula:
Nλ=d*x/l
Where:
N is the order of maximum
λ is the wavelength
d is the distance from central maximum
x/l is the ratio
For first monochromatic source:
We will find the ratio x/l.
[tex]\frac{x}{l}[/tex]=Nλ/d
[tex]\frac{x}{l}=\frac{1*600*10^-^6}{0.350*10^-^3}[/tex]
[tex]\frac{x}{l}=1.71428[/tex]
For second monochromatic source:
Nλ=d*x/l
λ=[tex]\frac{d*x/l}{N}[/tex]
λ=[tex]\frac{0.870*10^-^3*1.71428}{3}[/tex]
λ≅[tex]4.97*10^{-4}nm[/tex]
λ≅497 nm
