Is a Galaxy Unresolved at 10 Arc Seconds with 15 Arc Second Resolution?

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Observing a galaxy with a diameter of 10 arc seconds using a telescope with a diffraction-limited resolution of 15 arc seconds would result in a blurry image rather than a completely unresolved one. The galaxy's light would still be detectable, but the lack of detail would make it appear as a fuzzy spot. The term "unresolved" can vary in meaning, but in this context, it indicates that while the galaxy is visible, it lacks clarity. The discussion highlights the importance of resolution in astronomical observations. Overall, the galaxy would not be fully resolved due to the limitations of the telescope's resolution.
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This question may be quite trivial but I was wondering if you were observing a galaxy that was say 10 arc seconds in diameter with a telescope whose diffraction limited resolution was 15 arc seconds would the galaxy appear completely unresolved or just "blurry".
 
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That depends on what you mean by "unresolved". The light would appear, but it would be very blurry to the point that you wouldn't be able to see any detail, just a fuzzy spot.
 

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