An 7.5 × binocular has 3.7-cm-focal-length eyepieces. What is the focal length of the objective lenses? Express your answer to two significa

Question

An 7.5 × binocular has 3.7-cm-focal-length eyepieces. What is the focal length of the objective lenses? Express your answer to two significant figures and include the appropriate units.

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Thiên Thanh 3 years 2021-08-06T16:33:24+00:00 1 Answers 13 views 0

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  1. minhkhoi
    0
    2021-08-06T16:35:12+00:00
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    To solve this problem we will apply the concept of magnification, which is given as the relationship between the focal length of the eyepieces and the focal length of the objective. This relationship can be expressed mathematically as,

    \mu = \frac{f_0}{f_e}

    Here,

    \mu = Magnification

    f_e = Focal length eyepieces

    f_0 = Focal length of the Objective

    Rearranging to find the focal length of the objective

    f_0 = \mu f_e

    Replacing with our values

    f_0 = 7.5* 3.7cm

    f_0 = 27.75cm

    Therefore the focal length of th eobjective lenses is 27.75cm

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