Answer:
The minimum resolvable separation of two objects is 0.585 μm.
Explanation:
Given that,
Wavelength = 550 nm
Aperture = 0.47
We need to calculate the minimum resolvable separation of two objects
Using formula of the minimum resolvable separation
[tex]x_{m}=\dfrac{\lambda}{2n\sin\theta}[/tex]
Where, [tex]\lambda[/tex] = wavelength
Put the value into the formula
[tex]x_{m}=\dfrac{550\times10^{-9}}{2\times0.47}[/tex]
[tex]x_{m}=5.85\times10^{-7}\ m[/tex]
[tex]x_{m}=0.585\times10^{-6}\ m[/tex]
[tex]x_{m}=0.585\ \mu m[/tex]
Hence, The minimum resolvable separation of two objects is 0.585 μm.