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Find the distance between the objective and eyepiece lenses in the telescope in the above problem needed to produce a final image very far from the observer, where vision is most relaxed. Note that a telescope is normally used to view very distant objects.

User Neko
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Final answer:

The distance between the objective and eyepiece lenses in a telescope to produce a final image very far from the observer is the sum of the focal lengths of the two lenses, which is 102.50 cm in the given problem.

Step-by-step explanation:

To find the distance between the objective and eyepiece lenses in a telescope that is needed to produce a final image that is very far from the observer, we assume that the final image is at infinity, where the observer's eye is most relaxed. In such a case, the imaging system is adjusted so that the intermediate image formed by the objective lens is exactly at the focal point of the eyepiece. The total distance between the two lenses is the sum of their focal lengths, fo (focal length of the objective) and fe (focal length of the eyepiece).

To answer question 34, we just add the focal length of the objective lens, 100 cm, to the focal length of the eyepiece, 2.50 cm, giving us a total telescope length of 102.50 cm.

User Calder
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