The objective lens of a telescope has a focal length of 200 cm and its eyepiece has a focal length of 1.0 cm. What is the magnification of this telescope when viewing an object at infinity?

Question

BlackTom AI · Accepted Answer

The magnification $ M $ of a telescope when viewing an object at infinity is given by the formula $ M = \frac{f_o}{f_e} $, where $ f_o $ is the focal length of the objective lens and $ f_e $ is the focal length of the eyepiece. Here, $ f_o = 200 $ cm and $ f_e = 1.0 $ cm. Substituting these values into the formula gives $ M = \frac{200}{1.0} = 200 $. Therefore, the magnification of the telescope is 200.

Comparing the options:
- '20' is incorrect because it results from a misunderstanding of the formula.
- '0.0050' is incorrect as it represents the reciprocal of the correct magnification.
- '200' is correct as calculated.
- 'none of the given answers' is incorrect because '200' is indeed one of the given answers.

Thus, the correct answer is '200'.

The objective lens of a telescope has a focal length of 200 cm and its eyepiece has a focal length of 1.0 cm. What is the magnification of this telescope when viewing an object at infinity?单项选择题

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