(SNES) Object Brightness

["Ernest R. Evans" <pilotstar@mindspring.com>]

Would appreciate some feedback on this:

Would an extended object (e.g., nebula,  galaxy) appear to have the same
brightness to the eye when viewed through an f/8 scope with a 16mm
eyepiece as compared to an f/4 scope of the same aperture using an 8 mm
eyepiece? (Assume quality optics.) How about the field background light
brightness in the eyepieces in such a comparison?
Thanks,

Ernie
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