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University of Wisconsin - Milwaukee

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Problem 26 Easy Difficulty

(a) What is the maximum angular magnification of an eye- glass lens having a focal length of 18.0 cm when used as a simple magnifier? (b) What is the magnification of this lens when the eye is relaxed?

Answer

a. 2.34
b. 1.34

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Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg

Video Transcript

So in this problem, the focal length of the eyeglasses, which is being used as the magnifier, is a 10 centimeter. Now for part, A remember angular magnification is maximum when the image is formed at the near normal near point, which is when Q is negative. 25 centimeter. So from here we can just find him. Max, cause one plus 25 over F. It calls one plus 25 centimeter over 18 and this is going to give me 2.39 And this is the maximum angle of magnification for par V. Now, when the I is relaxed, it missed object is actually placed at the focal length. All right, so in this case, the magnification when the object is placed at the focal length is going to be M because 25 centimeter over f and this is going to give me 1.39

University of Wisconsin - Milwaukee
Top Physics 103 Educators
Christina K.

Rutgers, The State University of New Jersey

Zachary M.

Hope College

Aspen F.

University of Sheffield

Jared E.

University of Winnipeg