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A physics professor hands you a box that contains the following material: lens A with $f_A = 100$ cm, lens B with $f_B = 200$ cm, lens C with $f_C = -2$ mm, lens D with $f_D = 5$ mm and lens E with $f_E = -5$ mm. There are also 4 meter sections of PVC pipe that fit each lens and that can be cut with a handy hacksaw, sleeves that nest the PVC pipe sections together, some glue, focus gears (that can be used to move the eyepiece lens small distances along its axis), and things like that.

a) Create a rough design in the space above for a refracting telescope with an angular magnification $M = -200$, made using this material and equipment. Clearly indicate the lenses you use and their arrangement in the tube(s).

b) Draw below a simple ray diagram from which the angular magnification of a general refracting telescope of the sort you design can be evaluated. It need not be precisely to scale.

Note that this telescope will only be used to look relatively distant objects.