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 34.93P
A convex spherical mirror with a focal length of magnitude 24.0 cm is placed 20.0 cm to the left of a plane mirror. An object 0.250 cm tall is placed midway between the surface of the plane mirror and the vertex of the spherical mirror. The spherical mirror forms multiple images of the object. Where are the two images of the object formed by the spherical mirror that are closest to the spherical mirror, and how tall is each image?
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Chapter 34 Solutions
University Physics with Modern Physics (14th Edition)
Ch. 34.1 - If you walk directly toward a plane mirror at a...Ch. 34.2 - A cosmetics mirror is designed so that your...Ch. 34.3 - The water droplets in Fig. 34.23 have radius of...Ch. 34.4 - Prob. 34.4TYUCh. 34.5 - When used with 35-mm film (image area 24 mm 36...Ch. 34.6 - A certain eyeglass lens is thin at its center,...Ch. 34.7 - You are using a magnifier to examine a gem. If you...Ch. 34.8 - Which gives a lateral magnification of greater...Ch. 34 - A spherical mirror is cut in half horizontally....Ch. 34 - For the situation shown in Fig. 34.3, is the image...
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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- Use a ruler and a protractor to draw rays to find images in the following cases. (a) A point object located on the axis of a concave minor located at a point within the focal length from the vertex. (b) A point object located on the axis of a concave mirror located at a point farther than the focal length from the vertex. (c) A point object located on the axis of a convex mirror located at a point within the focal length from the vertex. (d) A point object located on the axis of a convex mirror located at a point farther than the focal length from the vertex. (e) Repeat (a)—(d) for a point object off the axis.arrow_forwardConsider the lensmirror arrangement shown in Figure P35.55. There are two final image positions to the left of the lens of focal length fL. One image position is due to light traveling from the object to the left and passing through the lens. The other image position is due to light traveling to the right from the object, reflecting from the mirror of focal length fM and then passing through the lens. For a given object position p between the lens and the mirror and measured with respect to the lens, there are two separation distances d between the lens and mirror that will cause the two images described above to be at the same location. Find both positions.arrow_forwardIf Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times as large as the object, what is the mirrors focal length? (a) 12.0 cm (b) 20.0 cm (c) 70.0 cm (d) 90.0 cm (e) none of those answersarrow_forward
- A light bulb is placed 10 cm from a plane mirror, which faces a convex mirror of radius of curvature 8 cm. The plane mirror is located at a distance of 30 cm from the vertex of the convex mirror. Find the location of two images in the convex mirror. Are there other images? If so, where are they located?arrow_forwardThe image formed by a convex spherical mirror with a focal length of magnitude 12.0 cm is located one-fourth of the object-mirror distance from the mirror. a. What is the distance of the object from the mirror? b. Is the image formed by the mirror upright or inverted? c. What is the magnification of this image?arrow_forwardTwo parallel mirrors are facing each other and are separated by a distance of 3 cm. A point object is placed between the mirrors 1 cm from one of the mirrors. Find the coordinates of all the images.arrow_forward
- An object of height 3 cm is placed at 25 cm in front of a converging lens of focal length 20 cm. Behind the lens there is a concave mirror of focal length 20 cm. The distance between the lens and the mirror is 5 cm. Find the location, orientation and size of the final image.arrow_forwardA concave mirror has a radius of curvature of 60.0 cm. Calculate the image position and magnification of an object placed in front of the mirror at distances of (a) 90.0 cm and (b) 20.0 cm. (c) Draw ray diagrams to obtain the image characteristics in each case.arrow_forwardAn object of height 2 cm is placed at 50 cm in front of a diverging lens of focal length 40 cm. Behind the lens, there is a convex mirror of focal length 15 cm placed 30 cm from the converging lens. Find the location, orientation, and size of the final image.arrow_forward
- Under what circumstances will an image be located at the focal point of a spherical lens or mirror?arrow_forwardAn artist places a 3.00 cm high statuette 2.50 cm in front of a concave mirror. This results in a 4.50 cm high virtual image of the statuette appearing as if behind the mirror. What is the mirror's focal length (in cm)?arrow_forwardAn object 27.5 cm tall is placed 10.9 cm in front of a mirror. What type of mirror and what radius of curvature are needed to create an upright image that is 44.5 cm in height? What is the magnification of the image? Is the image real or virtual? mirror concave convex radius of curvature cm magnification nature real virtualarrow_forward
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