University Physics with Modern Physics (14th Edition)
University Physics with Modern Physics (14th Edition)
14th Edition
ISBN: 9780321973610
Author: Hugh D. Young, Roger A. Freedman
Publisher: PEARSON
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Chapter 34, Problem 34.103P

DATA It is your first day at work as a summer intern at an optics company. Your supervisor hands you a diverging lens and asks you to measure its focal length. You know that with a converging lens, you can measure the focal length by placing an object a distance s to the left of the lens, far enough from the lens for the image to be real, and viewing the image on a screen that is to the right of the lens. By adjusting the position of the screen until the image is in sharp focus, you can determine the image distance s′ and then use Eq. (34.16) to calculate the focal length f of the lens. But this procedure won’t work with a diverging lens—by itself, a diverging lens produces only virtual images, which can’t be projected onto a screen. Therefore, to determine the focal length of a diverging lens, you do the following: First you take a converging lens and measure that, for an object 20.0 cm to the left of the lens, the image is 29.7 cm to the right of the lens. You then place a diverging lens 20.0 cm to the right of the converging lens and measure the final image to be 42.8 cm to the right of the converging lens. Suspecting some inaccuracy in measurement, you repeat the lens-combination measurement with the same object distance for the converging lens but with the diverging lens 25.0 cm to the right of the converging lens. You measure the final image to be 31.6 cm to the right of the converging lens. (a) Use both lens-combination measurements to calculate the focal length of the diverging lens. Take as your best experimental value for the focal length the average of the two values, (b) Which position of the diverging lens, 20.0 cm to the right or 25.0 cm to the right of the converging lens, gives the tallest image?

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Chapter 34 Solutions

University Physics with Modern Physics (14th Edition)

Ch. 34 - The laws of optics also apply to electromagnetic...Ch. 34 - Explain why the focal length of a plane mirror is...Ch. 34 - If a spherical mirror is immersed in water, does...Ch. 34 - For what range of object positions does a concave...Ch. 34 - When a room has mirrors on two opposite walls, an...Ch. 34 - For a spherical mirror, if s = f, then s = , and...Ch. 34 - You may have noticed a small convex mirror next to...Ch. 34 - A student claims that she can start a fire on a...Ch. 34 - A person looks at his reflection in the concave...Ch. 34 - In Example 34.4 (Section 34.2), there appears to...Ch. 34 - Prob. 34.13DQCh. 34 - The bottom of the passenger-side mirror on your...Ch. 34 - How could you very quickly make an approximate...Ch. 34 - The focal length of a simple lens depends on the...Ch. 34 - When a converging lens is immersed in water, does...Ch. 34 - A spherical air bubble in water can function as a...Ch. 34 - Can an image formed by one reflecting or...Ch. 34 - If a piece of photographic film is placed at the...Ch. 34 - According to the discussion in Section 34.2, light...Ch. 34 - Youve entered a survival contest that will include...Ch. 34 - BIO You cant see clearly underwater with the naked...Ch. 34 - Prob. 34.24DQCh. 34 - A candle 4.85 cm tall is 39.2 cm to the left of a...Ch. 34 - The image of a tree just covers the length of a...Ch. 34 - A pencil that is 9.0 cm long is held perpendicular...Ch. 34 - A concave mirror has a radius of curvature of 34.0...Ch. 34 - An object 0.600 cm tall is placed 16.5 cm to the...Ch. 34 - An object 0.600 cm tall is placed 16.5 cm to the...Ch. 34 - The diameter of Mars is 6794 km, and its minimum...Ch. 34 - An object is 18.0 cm from the center of a...Ch. 34 - Prob. 34.9ECh. 34 - You hold a spherical salad bowl 60 cm in front of...Ch. 34 - A spherical, concave shaving mirror has a radius...Ch. 34 - For a concave spherical mirror that has focal...Ch. 34 - Dental Mirror. A dentist uses a curved mirror to...Ch. 34 - For a convex spherical mirror that has focal...Ch. 34 - The thin glass shell shown in Fig. E34.15 has a...Ch. 34 - A tank whose bottom is a minor is filled with...Ch. 34 - A speck of dirt is embedded 3.50 cm below the...Ch. 34 - A transparent liquid fills a cylindrical tank to a...Ch. 34 - A person swimming 0.80 m below the surface of the...Ch. 34 - A person is lying on a diving board 3.00 m above...Ch. 34 - A Spherical Fish Bowl. A small tropical fish is at...Ch. 34 - The left end of a long glass rod 6.00 cm in...Ch. 34 - Prob. 34.23ECh. 34 - Prob. 34.24ECh. 34 - Repeat Exercise 34.24 for the case in which the...Ch. 34 - Prob. 34.26ECh. 34 - An insect 3.75 mm tall is placed 22.5 cm to the...Ch. 34 - A lens forms an image of an object. The object is...Ch. 34 - A converging meniscus lens (see Fig. 34.32a) with...Ch. 34 - A converging lens with a focal length of 70.0 cm...Ch. 34 - A converging lens forms an image of an...Ch. 34 - A photographic slide is to the left of a lens. The...Ch. 34 - A double-convex thin lens has surfaces with equal...Ch. 34 - A converging lens with a focal length of 9.00 cm...Ch. 34 - BIO The Cornea As a Simple Lens. The cornea...Ch. 34 - A lensmaker wants to make a magnifying glass from...Ch. 34 - For each thin lens shown in Fig. E34.37, calculate...Ch. 34 - A converging lens with a focal length of 12.0 cm...Ch. 34 - Repeat Exercise 34.38 for the case in which the...Ch. 34 - An object is 16.0 cm to the left of a lens. The...Ch. 34 - Combination of Lenses I. A 1.20-cm-tall object is...Ch. 34 - Combination of Lenses II. Repeat Exercise 34.41...Ch. 34 - Combination of Lenses III. Two thin lenses with a...Ch. 34 - BIO The Lens or the Eye. The crystalline lens of...Ch. 34 - A camera lens has a focal length of 200 mm. How...Ch. 34 - You wish to project the image of a slide on a...Ch. 34 - When a camera is focused, the lens is moved away...Ch. 34 - Zoom Lens. Consider the simple model of the zoom...Ch. 34 - A camera lens has a focal length of 180.0 mm and...Ch. 34 - BIO Curvature of the Cornea. In a simplified model...Ch. 34 - BIO (a) Where is the near point of an eye for...Ch. 34 - BIO Contact Lenses. Contact lenses are placed...Ch. 34 - BIO Ordinary Glasses. Ordinary glasses are worn in...Ch. 34 - BIO A person can see clearly up close but cannot...Ch. 34 - BIO If the person in Exercise 34.54 chooses...Ch. 34 - A thin lens with a focal length of 6.00 cm is used...Ch. 34 - The focal length of a simple magnifier is 8.00 cm....Ch. 34 - You want to view through a magnifier an insect...Ch. 34 - The focal length of the eyepiece of a certain...Ch. 34 - Resolution of a Microscope. The image formed by a...Ch. 34 - A telescope is constructed from two lenses with...Ch. 34 - The eyepiece of a refracting telescope (see Fig....Ch. 34 - A reflecting telescope (Fig. E34.63) is to be made...Ch. 34 - What is the size of the smallest vertical plane...Ch. 34 - If you run away from a plane mirror at 3.60 m/s,...Ch. 34 - Where must you place an object in front of a...Ch. 34 - Prob. 34.67PCh. 34 - A light bulb is 3.00 m from a wall. You are to use...Ch. 34 - CP CALC You are in your car driving on a highway...Ch. 34 - A layer of benzene (n = 1.50) that is 4.20 cm deep...Ch. 34 - Rear-View Mirror. A mirror on the passenger side...Ch. 34 - Figure P34.72 shows a small plant near a thin...Ch. 34 - Pinhole Camera. A pinhole camera is just a...Ch. 34 - Prob. 34.74PCh. 34 - Prob. 34.75PCh. 34 - A Glass Rod. Both ends of a glass rod with index...Ch. 34 - (a) You want to use a lens with a focal length of...Ch. 34 - Autocollimation. You place an object alongside a...Ch. 34 - A lens forms a real image that is 214 cm away from...Ch. 34 - Figure P34.80 shows an object and its image formed...Ch. 34 - Figure P34.81 shows an object and its image formed...Ch. 34 - A transparent rod 30.0 cm long is cut flat at one...Ch. 34 - BIO Focus of the Eye. The cornea of the eye has a...Ch. 34 - The radii of curvature of the surfaces of a thin...Ch. 34 - An object to the left of a lens is imaged by the...Ch. 34 - An object is placed 22.0 cm from a screen. (a) At...Ch. 34 - A convex mirror and a concave mirror are placed on...Ch. 34 - A screen is placed a distance d to the right of an...Ch. 34 - As shown in Fig. P34.89, the candle is at the...Ch. 34 - Two Lenses in Contact. (a) Prove that when two...Ch. 34 - When an object is placed at the proper distance to...Ch. 34 - (a) Repeat the derivation of Eq. (34.19) for the...Ch. 34 - A convex spherical mirror with a focal length of...Ch. 34 - BIO What Is the Smallest Thing We Can See? The...Ch. 34 - Three thin lenses, each with a focal length of...Ch. 34 - A camera with a 90-mm-focal-length lens is focused...Ch. 34 - BIO In one form of cataract surgery the persons...Ch. 34 - BIO A Nearsighted Eye. A certain very nearsighted...Ch. 34 - BIO A person with a near point of 85 cm, but...Ch. 34 - The Galilean Telescope. Figure P34.100 is a...Ch. 34 - Focal Length of a Zoom Lens. Figure P34.101 shows...Ch. 34 - DATA In setting up an experiment for a high school...Ch. 34 - DATA It is your first day at work as a summer...Ch. 34 - Prob. 34.104PCh. 34 - CALC (a) For a lens with focal length f, find the...Ch. 34 - An Object at an Angle. A 16.0-cm-long pencil is...Ch. 34 - BIO People with normal vision cannot focus their...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...Ch. 34 - Given that frogs are nearsighted in air, which...Ch. 34 - BIO AMPHIBIAN VISION. The eyes of amphibians such...
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