Book cover for Physics

Physics

Alan Giambattista, Betty McCarthy Richardson, Robert C. Richardson

ISBN #9780073404530

2nd Edition

2,795 Questions

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Summary

Learning Objectives

Key Concepts

Example Problems

Explanations

Common Mistakes

Summary

This section covers the principles of optical instruments and demonstrates how combinations of lenses are used to form images in devices such as cameras, microscopes, and telescopes. The thin lens equation is repeatedly applied with careful attention to sign conventions to handle real and virtual objects. Critical topics include transverse and angular magnification, the function of corrective lenses in the human eye, and practical issues such as depth of field and optical aberrations. Understanding these concepts is essential for designing and analyzing various optical systems.

Learning Objectives

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Key Concepts

CONCEPT

DEFINITION

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Example Problems

Example 1

An object is placed $12.0 \mathrm{cm}$ in front of a lens of focal length $5.0 \mathrm{cm} .$ Another lens of focal length $4.0 \mathrm{cm}$ is placed $2.0 \mathrm{cm}$ past the first lens. (a) Where is the final image? Is it real or virtual? (b) What is the overall magnification?(www.interactive: virtual optics lab)

Example 2

An object is placed $12.0 \mathrm{cm}$ in front of a lens of focal length $5.0 \mathrm{cm} .$ Another lens of focal length $4.0 \mathrm{cm}$ is placed $2.0 \mathrm{cm}$ past the first lens. (a) Where is the final image? Is it real or virtual? (b) What is the overall magnification? (interactive: virtual optics lab).

Example 3

A converging lens and a diverging lens, separated by a distance of $30.0 \mathrm{cm},$ are used in combination. The converging lens has a focal length of $15.0 \mathrm{cm} .$ The diverging lens is of unknown focal length. An object is placed $20.0 \mathrm{cm}$ in front of the converging lens; the final image is virtual and is formed $12.0 \mathrm{cm}$ before the diverging lens. What is the focal length of the diverging lens?

Example 4

A converging lens and a diverging lens, separated by a distance of $30.0 \mathrm{cm},$ are used in combination. The converging lens has a focal length of $15.0 \mathrm{cm} .$ The diverging lens is of unknown focal length. An object is placed $20.0 \mathrm{cm}$ in front of the converging lens; the final image is virtual and is formed $12.0 \mathrm{cm}$ before the diverging lens. What is the focal length of the diverging lens?

Example 5

Two converging lenses are placed $88.0 \mathrm{cm}$ apart. An object is placed $1.100 \mathrm{m}$ to the left of the first lens. which has a focal length of $25.0 \mathrm{cm} .$ The final image is located $15.0 \mathrm{cm}$ to the right of the second lens. (a) What is the focal length of the second lens? (b) What is the total magnification?

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Common Mistakes

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