It is generally believed that a 7mm exit pupil is all the human eye can make use of. To get the exit pupil size you divide the objective lens diameter by the scope power setting. A fixed 6 x 42 power scope has a 7mm exit pupil, which is considered about perfect.
With a 50 mm objective, at 5X the exit pupil is of course 10mm, which is 3mm larger than is generally considered useful. Overkill, so to speak.
At 7 power, the exit pupil is going to be about 7mm on the 50mm, which as already mentioned is great. You would see no difference whatsoever between the brightness of the 50 and 56mm objectives on 7X.
At 8X and above the 50mm scope's exit pupil will begin to shrink, all the way down to 3.3mm at 15X.
The thing is, the 56mm objective really won't gain you a whole lot. You'll still have the "magic" 7mm exit pupil at 8 power, but after 8X it will begin to reduce until it ends up a 3.7mm at 15X (versus 3.3 for the 50mm).
For my part, I like the 50mm objective. It's less obtrusive, and gives up little if anything in light transmission.
The U.S. Navy Seals have chosen the 50mm objective also, so if it's good enough for them it should be plenty good for us. /ubbthreads/images/graemlins/laugh.gif
Dan