diffraction limited angular resolution of light

Question

A space based telescope has a 2.6 m objective, what is the diffraction limited angular resolution of light ( 633 nm)? Report you answer to three decimal points and include the word arcsec as your unit.

Answer 1

Use Rayleigh's criterion.

 

φ_min = 1.22λ/d = 1.22(633 x 10^-9 m)/(2.6 m) = ? radians

 

Evaluate the expression above to get the angular resolution in radians, and then convert radians to arcsec.