Answer:
34892 km
34.892 km
Explanation:
L = Distance of two objects = [tex]2.6\times 10^8\ km[/tex]
[tex]\lambda[/tex] = Wavelength = 550 nm
When d = Diameter of pupil = 5 mm
Linear separation
[tex]\frac{D}{L}=\frac{1.22\lambda}{d}\\\Rightarrow D=\frac{1.22\lambda L}{d}\\\Rightarrow D=\frac{1.22\times 550\times 10^{-9}\times 2.6\times 10^8\times 10^3}{5\times 10^{-3}}\\\Rightarrow D=34892000\ m=34892\ km[/tex]
Linear separation = 34892 km
When d = 5 m
[tex]\frac{D}{L}=\frac{1.22\lambda}{d}\\\Rightarrow D=\frac{1.22\lambda L}{d}\\\Rightarrow D=\frac{1.22\times 550\times 10^{-9}\times 2.6\times 10^8\times 10^3}{5}\\\Rightarrow D=34892\ m=34.892\ km[/tex]
Linear separation = 34.892 km
