The resolution of a lens can be estimated by treating the lens as a circular ape

Question

The resolution of a lens can be estimated by treating the lens as a circular aperture. The resolution is the smallest distance between two point sources that produce distinct im- ages. This is similar to the resolution of a single slit, related to the distance from the middle of the central bright band to the first- order dark band; however, the aperture is circular instead of a rectangular slit which introduces a scale factor. Suppose the Hubble Space Telescope, 2.4 m in diameter, is in orbit 104 km above Earth and is turned to look at Earth. If you ignore the effect of the atmosphere, what is the resolution of this telescope for light of wavelength 572 nm? Answer in units of cm

Explanation / Answer

angular resolution theta = 1.22*lambda/D

theta = 1.22*572*10^-9/2.4

theta = 290*10^-9

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