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A 7.5×binocular produces an angular magnification of-7.50 , acting like a telescope. (Mirrors are used to make the image upright.) If the binoculars have objective lenses with a 75.0cm focal length, what is the focal length of the eyepiece lenses?

Short Answer

Expert verified

The focal length of the eyepiece lensesisfe=0.1m.

Step by step solution

01

Concept Introduction

Magnification is the process of expanding something's perceived size rather than its true size. This expansion is measured by a numerical value known as "magnification." When this value is less than one, it denotes a size decrease, often known as minification or de-magnification.

02

Calculating the focal length of the eyepiece lenses

The angular magnification is supplied by, as we said before in the idea session.

M=θ'θ=f0fe

Rearrange the eyepiece lenses and solve for the focal length: such that,

fe=f0M=0.75m-7.5=0.1m

Therefore, the focal length of the eyepiece lenses isfe=0.1m

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