Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 31, Problem 39P
An object’s image in a 27-cm-focal-length concave mirror is upright and magnified by a factor of 3. Where is the object?
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Chapter 31 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 31.1 - You stand in front of a plane mirror whose top is...Ch. 31.1 - Where would you place an object so that its real...Ch. 31.2 - Prob. 31.3GICh. 31.3 - A thin lens has focal length +50 cm. Which of the...Ch. 31.4 - If you look backward through a refracting...Ch. 31 - How can you see a virtual image, when its not...Ch. 31 - Under what circumstances will the image in a...Ch. 31 - If you're handed a converging lens, what can you...Ch. 31 - A diverging lens always makes a reduced image....Ch. 31 - Is there any limit to the temperature you can...
Ch. 31 - Can a concave mirror make a reduced real image? A...Ch. 31 - If you placed a screen at the location of a...Ch. 31 - If you look into the bowl of a metal spoon, you...Ch. 31 - Is the image on a movie screen real or virtual?...Ch. 31 - Does a fish in a spherical bowl appear larger or...Ch. 31 - A block of ice contains a hollow, air-filled space...Ch. 31 - The refractive index of the human cornea is about...Ch. 31 - Do you want a long or short focal length for a...Ch. 31 - Prob. 14FTDCh. 31 - A shoe store uses small floor-level mirrors to let...Ch. 31 - A candle is on the axis of a 15-cm-focal-length...Ch. 31 - Prob. 17ECh. 31 - A virtual image is located 40cm behind a concave...Ch. 31 - (a) Where on the axis of a concave mirror would...Ch. 31 - A lightbulb is 56 cm from a convex lens. Its image...Ch. 31 - By what factor is the image magnified for an...Ch. 31 - A lens with 50-cm focal length produces a real...Ch. 31 - By holding a magnifying glass 25 cm from your desk...Ch. 31 - A real image is four times as far from a lens as...Ch. 31 - A magnifying glass enlarges print by 50% when its...Ch. 31 - Youre writing specifications for a new line of...Ch. 31 - You're standing in a wading pool and your feet...Ch. 31 - The bottom of a swimming pool looks to be 1.5 m...Ch. 31 - Prob. 29ECh. 31 - Prob. 30ECh. 31 - You have to hold a book 55 cm from your eyes for...Ch. 31 - What focal length should you specify if you want a...Ch. 31 - Youre an optometrist helping a nearsighted patient...Ch. 31 - A particular eye has a focal length of 2.0 cm...Ch. 31 - A compound microscope has objective and eyepiece...Ch. 31 - (a) Find the focal length of a concave mirror if...Ch. 31 - A 12-mm-high object is 10cm from a concave mirror...Ch. 31 - Repeat Problem 37 for a convex mirror, assuming...Ch. 31 - An objects image in a 27-cm-focal-length concave...Ch. 31 - Youre asked to design a concave mirror that will...Ch. 31 - Viewed from Earth, the Moon subtends an angle of...Ch. 31 - At what two distances could you place an object...Ch. 31 - LCD projectors commonly used for computer and...Ch. 31 - An object 15 cm from a concave mirror has a...Ch. 31 - How far from a page should you hold a lens with...Ch. 31 - A converging lens has focal length 4.0 cm. A...Ch. 31 - A lens has focal length f = 35 cm. Find the type...Ch. 31 - How far apart are the object and image produced by...Ch. 31 - A candle and a screen are 70cm apart. Find two...Ch. 31 - Prob. 50PCh. 31 - How far from a 25-cm-focal-length lens should you...Ch. 31 - An object and its lens-produced real image are 2.4...Ch. 31 - An object is 68 cm from a plano-convex lens whose...Ch. 31 - Prob. 54PCh. 31 - Rework Example 31.4 for a fish 15.0 cm from the...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - A contact lens is in the shape of a convex...Ch. 31 - For what refractive index would the focal length...Ch. 31 - An object is 28 cm from a double-convex lens with...Ch. 31 - Youre an optician whos been asked to design a new...Ch. 31 - A double-convex lens with equal 28.5-cm curvature...Ch. 31 - An object placed 17.5 cm from a convex lens of...Ch. 31 - Youre taking a photography class, working with a...Ch. 31 - A camera can normally focus as close as 60cm, but...Ch. 31 - A 300-power compound microscope has a...Ch. 31 - To the unaided eye, Jupiter has an angular...Ch. 31 - A Cassegrain telescope like that shown in Fig....Ch. 31 - You stand with your nose 6.0 cm from the surface...Ch. 31 - A contact lens prescription calls for...Ch. 31 - Show that placing a 1-diopter lens in front of a...Ch. 31 - Derive an expression for the thickness t of a...Ch. 31 - Show that identical objects placed equal distances...Ch. 31 - Generalize the derivation of the lensmakers...Ch. 31 - Draw a diagram like Fig. 31.10, but showing a ray...Ch. 31 - Galileos first telescope used the arrangement...Ch. 31 - The maximum magnification of a simple magnifier...Ch. 31 - Chromatic aberration results from variation of the...Ch. 31 - For visible wavelengths, the refractive index of...Ch. 31 - The table below shows measurements of...Ch. 31 - Zooming your camera's lens for telephoto shots...Ch. 31 - Increasing the f-ratio from 2.8 to 5.6 a....Ch. 31 - Youre given two lenses with different diameters....Ch. 31 - If a lens suffers from spherical aberration,...
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- The radius of curvature of the left-hand face of a flint glass biconvex lens (n = 1.60) has a magnitude of 8.00 cm, and the radius of curvature of the right-hand face has a magnitude of 11.0 cm. The incident surface of a biconvex lens is convex regardless of which side is the incident side. What is the focal length of the lens if light is incident on the lens from the left?arrow_forwardA 1.80-m-tall person stands 9.00 m in front of a large, concave spherical mirror having a radius of curvature of 3.00 m. Determine (a) the mirrors focal length, (b) the image distance, and (c) the magnification. (d) Is the image real or virtual? (e) Is the image upright or inverted?arrow_forwardA lamp of height S cm is placed 40 cm in front of a converging lens of focal length 20 cm. There is a plane mirror 15 cm behind the lens. Where would you find the image when you look in the mirror?arrow_forward
- An observer to the right of the mirror-lens combination shown in Figure P36.89 (not to scale) sees two real images that are the same size and in the same location. One image is upright, and the other is inverted. Both images are 1.50 times larger than the object. The lens has a focal length of 10.0 cm. The lens and mirror are separated by 40.0 cm. Determine the focal length of the mirror.arrow_forwardIn Figure P35.30, a thin converging lens of focal length 14.0 cm forms an image of the square abed, which is he = hb = 10.0 cm high and lies between distances of pd = 20.0 cm and pa = 30.0 cm from the lens. Let a, b, c. and d represent the respective corners of the image. Let qa represent the image distance for points a and b, qd represent the image distance for points c and d, hb, represent the distance from point b to the axis, and hc represent the height of c. (a) Find qa, qd, hb, and hc. (b) Make a sketch of the image. (c) The area of the object is 100 cm2. By carrying out the following steps, you will evaluate the area of the image. Let q represent the image distance of any point between a and d, for which the object distance is p. Let h represent the distance from the axis to the point at the edge of the image between b and c at image distance q. Demonstrate that h=10.0q(114.01q) where h and q are in centimeters. (d) Explain why the geometric area of the image is given by qaqdhdq (e) Carry out the integration to find the area of the image. Figure P35.30arrow_forwardA floating strawberry illusion is achieved with two parabolic mirrors, each having a focal length 7.50 cm, facing each other as shown in Figure P33.58. If a strawberry is placed on the lower mirror, an image of the strawberry is formed at the small opening at the center of the top mirror, 7.50 cm above the lowest point of the bottom mirror. The position of the eye in Figure P35.58a corresponds to the view of the apparatus in Figure P35.58b. Consider the light path marked A. Notice that this light path is blocked by the upper mirror so that the strawberry itself is not directly observable. The light path marked B corresponds to the eye viewing the image of the strawberry that is formed at the opening at the top of the apparatus. (a) Show that the final image is formed at that location and describe its characteristics. (b) A very startling effect is to shine a flashlight beam on this image. Even al a glancing angle, the incoming light beam is seemingly reflected from the image! Explain. Figure P35.58arrow_forward
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