ASTR0 81 - Assignment #3due Friday of week 3 before noon1. Calculate the theoretical diffraction-limited resolution of a 10m telescope at wave-lengths of 300 nm (UV) and 1μm(IR). Under what circumstances might each berealized in practice?2. The diffraction limit to the angular resolution of a ground-based telescope of mirrordiameterDmay be written asΔθdiffraction= 0.14parenleftBiggλ0.55μmparenrightBiggparenleftbigg1 mDparenrightbiggarcsecwhile the size of the seeing disk at a good observing site can be approximated asΔθseeing= 0.7parenleftbigg0.55μmλparenrightbigg0.2arcsecwhereλis the wavelength of observation. Find an expression in terms ofDfor thewavelength at which these two expressions are equal and verify that an 8-m telescopeis diffraction-limited at wavelengths longer than about 12μm.At what wavelengthwould a 1 m telescope become diffraction-limited?3.(a) The Hiltner Telescope at the MDM Observatory (on Kitt Peak, Arizona) has anapertureD
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