chris malcolm
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A Tale of Two Lenses by Chris Malcolm, on FlickrIn fact two binoculars, but the general principles are the same. The smaller is an 8x21, the larger an 8x56. They both give the same field of view, the same magnification, and the same image quality. The difference is in the exit pupil, what corresponds in binoculars to camera lens aperture.
Binoculars use the pupil of your eye to change aperture according to lighting conditions. In dim light the pupil of your eye gets bigger, up to a maximum of around 7mm. That's the exit pupil of the big binocular. That means you can use the big binocular in the dimmest light, and whatever your eye can see, the binocular can magnify. Whereas the exit pupil of the little binocular is 2.6mm, suitable only for bright light.
In dim light the small one is useless, but in bright light the performance of these two binoculars is the same. The small ones are very much smaller, lighter, and cheaper, and can easily be carried around all day in a pocket. So even if you wanted the big one for occasional dim light use, it could make sense to have the small one as well just because it's so much easier to carry around. And if you have the small one, do you really want to pay all that extra money just for the occasionally useful extra low light performance the big one provides?
These considerations also apply to camera lenses