You have a set of converging lenses with focal lengths 2.00 cm, 16.5 cm, 55.5 cm

Question

You have a set of converging lenses with focal lengths 2.00 cm, 16.5 cm, 55.5 cm, and 89.0 cm. (a) Which two lenses would you select to make a telescope with the largest magnifying power? (Select all that apply.) 2.00(CHK) 16.5 55.5 89.0(CHK) What is the angular magnification of the telescope when viewing a distant object? _______? (b) Which lens is used as objective and which as eyepiece? objective (89.0 cm lens_(CHK) eyepiece (2.00 cm lens_(CHK) (c) What should be the distance between the objective and eyepiece? cm_______?

Explanation / Answer

Magnification of a refracting telescope is Fo/Fe where Fo is the focal length of the objective and Fe that of the eyepiece:

= (89 cm)/(2 cm) = 44.5

The distance between the objective and eyepiece should just be the the sum of their focal lengths:

= 89 cm + 2 cm = 91 cm

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