Suppose an astronomical telescope is being designed to have an angular magnification of 31.6. If the focal length of the objective lens being used is 98.0 cm, find the required focal length of the eyepiece and the distance between the two lenses for a relaxed eye. Hint: For a relaxed eye, the image formed by the objective lens is at the focal point of the eyepiece.
(A) Find the required focal length of the eyepiece (in cm).
(B) Find the distance between the two lenses for a relaxed eye (in cm).