Free solutions & answers for Physics Chapter 24 - (Page 5) [step by step]

Chapter 24

Problem 49

You have a set of converging lenses with focal lengths $1.00 \mathrm{cm}, 10.0 \mathrm{cm}, 50.0 \mathrm{cm},$ and $80.0 \mathrm{cm} .$ (a) Which two lenses would you select to make a telescope with the largest magnifying power? What is the angular magnification of the telescope when viewing a distant object? (b) Which lens is used as objective and which as eyepiece? (c) What should be the distance between the objective and eyepiece?

Problem 50

A refracting telescope is $45.0 \mathrm{cm}$ long and the caption states that the telescope magnifies images by a factor of $30.0 .$ Assuming these numbers are for viewing an object an infinite distance away with minimum eyestrain, what is the focal length of each of the two lenses?

Problem 51

The objective lens of an astronomical telescope forms an image of a distant object at the focal point of the eyepiece, which has a focal length of $5.0 \mathrm{cm} .$ If the two lenses are $45.0 \mathrm{cm}$ apart, what is the angular magnification?

Problem 52

A refracting telescope is used to view the Moon. The focal lengths of the objective and eyepiece are $+2.40 \mathrm{m}$ and $+16.0 \mathrm{cm},$ respectively. (a) What should be the distance between the lenses? (b) What is the diameter of the image produced by the objective? (c) What is the angular magnification?

Problem 54

Comprehensive Problems Good lenses used in cameras and other optical devices are actually compound lenses, made of five or more lenses put together to minimize distortions, including chromatic aberration. Suppose a converging lens with a focal length of $4.00 \mathrm{cm}$ is placed right next to a diverging lens with focal length of $-20.0 \mathrm{cm} .$ An object is placed $2.50 \mathrm{m}$ to the left of this combination. (a) Where will the image be located? (b) Is the image real or virtual?

Problem 55

Two converging lenses, separated by a distance of $50.0 \mathrm{cm},$ are used in combination. The first lens, located to the left, has a focal length of $15.0 \mathrm{cm} .$ The second lens, located to the right, has a focal length of $12.0 \mathrm{cm} .$ An object, $3.00 \mathrm{cm}$ high, is placed at a distance of $20.0 \mathrm{cm}$ in front of the first lens. (a) Find the intermediate and final image distances relative to the corresponding lenses. (b) What is the total magnification? (c) What is the height of the final image?

Problem 56

A camera has a telephoto lens of 240 -mm focal length. The lens can be moved in and out a distance of $16 \mathrm{mm}$ from the film plane by rotating the lens barrel. If the lens can focus objects at infinity, what is the closest object distance that can be focused?

Problem 57

You have two lenses of focal length $25.0 \mathrm{cm}$ (lens 1 ) and $5.0 \mathrm{cm}$ (lens 2 ). (a) To build an astronomical telescope that gives an angular magnification of $5.0,$ how should you use the lenses (which for objective and which for eyepiece)? Explain. (b) How far apart should they be?

Problem 58

The Ortiz family is viewing slides from their summer vacation trip to the Grand Canyon. Their slide projector has a projection lens of $10.0-\mathrm{cm}$ focal length and the screen is located $2.5 \mathrm{m}$ from the projector. (a) What is the distance between the slide and the projection lens? (b) What is the magnification of the image? (c) How wide is the image of a slide of width $36 \mathrm{mm}$ on the screen? (See the figure with Problem 16 .)