Suppose you want to design a microscope so that for a fixed distance between the two lenses, the magnitude of the magnification will vary from 141 to 449 as you substitute eyepieces of various focal lengths.
(a) If the longest focal length for an eyepiece is 6.7 101 mm, what will the shortest focal length be?
(b) If you want the distance between the eyepiece and objective to be 35 cm, what should the focal length of the objective be?