A space-based telescope can achieve a diffraction-limited angular resolution of 0.14 for red light (wavelength 650 nm). What would the resolution of the instrument be in the ultraviolet, at 150nm ?

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Gió Share
May 27, 2016

Answer:

I found #0.032# radians.

Explanation:

I suppose here I am dealing with the Raileigh Criterion that tells us the minimum angular (in radians) separation between two object (emitting light of wavelength #lambda#) to strart to be discriminated (resolvable) by an aperture of diameter #d#:
#theta_R=1.22lambda/d#
We have for the first wavelength:
#0.14=1.22(650xx10^-9)/d#
so that #d=5.664xx10^-6m#
For the second wavelengrt we have then a angular separation of:
#theta_R=1.22(150xx10^-9)/(5.664xx10^-6)=0.032#radians

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