Optics 13 Homework Solution

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1. This problem has extraneous input data that is designed to confuse. If the aperture stop is on the objective, then the exit pupil is virtual and therefore the eye relief is extraneous and confusing data.

With an afocal magnification of 5x the entrance pupils is five times larger than the eye pupil diameter... or 5x5 or 25 mm. If the objective operates af F/5 then the focal length is 5x times larger than the diameter or 125 mm. We know the ratio of the objective to eyepiece focal lengths will be the magnification or 5x.... but since there is no intermediate image, the magnification is "-5x"... since the objective is a positive focal length and the eyepiece is a negative focal length (diverging)... or the eyepiece is -25 mm.