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1. The figure below shows the formation of the image in the simple magnifier (top) and in the unaided eye (bottom) for an object of height h. For the simple magnifier, the object is placed at the focal point of a converging lens of focal length f. For the unaided eye, the object is placed at the eye's near point dnear for maximum image size. Object (height h) Object (height h) Visual angle 0. Visual angle 0 Lens (focal length f) Eye Eye (near point dnear) a) For the simple magnifier, determine the visual angle 0 in terms of h and f. Assume that 0 is small (sin 0 = 0 = tan 0), and note that, because the emergent rays are parallel, O is the angle between these rays and the principal axis at every point. [1] b) For the unaided eye, determine the visual angle 0. in terms of h and dnear. Assume that Oo is small. [1] c) Determine the angular magnification for the simple magnifier in terms of f using a near point of 25 cm. [1] d) Determine the focal length of the lens required to form a simple magnifier of angular magnification of 10. [1]

1. The figure below shows the formation of the image in the simple magnifier (top) and in the unaided eye (bottom) for an object of height h. For the simple magnifier, the object is placed at the focal point of a converging lens of focal length f. For the unaided eye, the object is placed at the eye's near point dnear for maximum image size. Object (height h) Object (height h) Visual angle 0. Visual angle 0 Lens (focal length f) Eye Eye (near point dnear) a) For the simple magnifier, determine the visual angle 0 in terms of h and f. Assume that 0 is small (sin 0 = 0 = tan 0), and note that, because the emergent rays are parallel, O is the angle between these rays and the principal axis at every point. [1] b) For the unaided eye, determine the visual angle 0. in terms of h and dnear. Assume that Oo is small. [1] c) Determine the angular magnification for the simple magnifier in terms of f using a near point of 25 cm. [1] d) Determine the focal length of the lens required to form a simple magnifier of angular magnification of 10. [1]

Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter26: Image Formation By Mirrors And Lenses
Section: Chapter Questions
Problem 40P
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1. The figure below shows the formation of the image in the simple magnifier (top) and in the unaided eye (bottom) for an object of height h. For the simple magnifier, the object is placed at the focal point of a converging lens of focal length f. For the unaided eye, the object is placed at the eye's near point dnear for maximum image size. Object (height h) Object (height h) Visual angle 0. Visual angle 0 Lens (focal length f) Eye Eye (near point dnear) a) For the simple magnifier, determine the visual angle 0 in terms of h and f. Assume that 0 is small (sin 0 = 0 = tan 0), and note that, because the emergent rays are parallel, O is the angle between these rays and the principal axis at every point. [1] b) For the unaided eye, determine the visual angle 0. in terms of h and dnear. Assume that Oo is small. [1] c) Determine the angular magnification for the simple magnifier in terms of f using a near point of 25 cm. [1] d) Determine the focal length of the lens required to form a simple magnifier of angular magnification of 10. [1]
Transcribed Image Text:1. The figure below shows the formation of the image in the simple magnifier (top) and in the unaided eye (bottom) for an object of height h. For the simple magnifier, the object is placed at the focal point of a converging lens of focal length f. For the unaided eye, the object is placed at the eye's near point dnear for maximum image size. Object (height h) Object (height h) Visual angle 0. Visual angle 0 Lens (focal length f) Eye Eye (near point dnear) a) For the simple magnifier, determine the visual angle 0 in terms of h and f. Assume that 0 is small (sin 0 = 0 = tan 0), and note that, because the emergent rays are parallel, O is the angle between these rays and the principal axis at every point. [1] b) For the unaided eye, determine the visual angle 0. in terms of h and dnear. Assume that Oo is small. [1] c) Determine the angular magnification for the simple magnifier in terms of f using a near point of 25 cm. [1] d) Determine the focal length of the lens required to form a simple magnifier of angular magnification of 10. [1]
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