University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
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Textbook Question
Chapter 2, Problem 108P
Copy and draw rays to find the final image in the following diagram. (Hint: Find the intermediate image through lens alone. Use the intermediate image as the object for the mirror and work with the mirror alone to find the final image.)
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Image in a concave mirror. A 1.50-cm-high object (upright arrow) is placed 20.0 cm from a concave mirror with radius of curvature 30.0 cm. Determine (a) the position & (b) the size of the image. Construct a ray-diagram for the image formation of this object on the concave mirror by using appropriate scale.
Direction: Answer the following problems using mirror equation and magnification. Then describe the image formed for each number. (Type, Orientation and Magnification)
A thin, diverging lens having a focal length of magnitude 45.0 cm has the same principal axis as a concave mirror with a radius of 60.0 cm. The center of the mirror is 20.0 cm from the lens, with the lens in front of the mirror. An object is placed 23.0 cm in front of the lens.
1)Where is the final image due to the lens–mirror combination? Enter the image distance with respect to the mirror. Follow the sign convention. (Express your answer to three significant figures.)
4)Suppose now that the concave mirror is replaced by a convex mirror of the same radius. Where is the final image due to the lens–mirror combination? Enter the image distance with respect to the mirror. Follow the sign convention. (Express your answer to three significant figures.)
Chapter 2 Solutions
University Physics Volume 3
Ch. 2 - What are the differences between real and virtual...Ch. 2 - Can you see a virtual image? Explain your...Ch. 2 - Can you photograph a virtual image?Ch. 2 - Can you project a virtual image onto a screen?Ch. 2 - Is it necessary to project a real image onto a...Ch. 2 - Devise an arrangement of mirrors allowing you to...Ch. 2 - If you wish to see your entire body in a flat...Ch. 2 - At what distance is an image always located: at...Ch. 2 - Under what circumstances will an image be located...Ch. 2 - What is meant by a negative magnification? What is...
Ch. 2 - Can an image be larger than the object even though...Ch. 2 - Derive the formula for the apparent depth of a...Ch. 2 - Use a ruler and a protractor to find the image by...Ch. 2 - You can argue that a that piece of glass, such as...Ch. 2 - When you focus a camera, you adjust the distance...Ch. 2 - A thin lens has two focal points, one on either...Ch. 2 - Will the focal length of a lens change when it is...Ch. 2 - If the lens of a person’s eye is removed because...Ch. 2 - When laser light is shone into a relaxed...Ch. 2 - Why is your vision so blurry when you open your...Ch. 2 - It has become common to replace the...Ch. 2 - If the cornea is to be reshaped (this can be done...Ch. 2 - Geometric optics describes the interaction of...Ch. 2 - The image produced by the microscope in Figure...Ch. 2 - If you want your microscope or telescope to...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - Consider a pair of flat mirrors that are...Ch. 2 - By using more than one flat mirror, construct a...Ch. 2 - The following figure shows a light bulb between...Ch. 2 - Why are diverging mirrors often used for rearview...Ch. 2 - Some telephoto cameras use a mirror rather than a...Ch. 2 - Calculate the focal length of a mirror formed by...Ch. 2 - Electric room heaters use a concave mirror to...Ch. 2 - Find the magnification of the heater element in...Ch. 2 - What is the focal length of a makeup mirror that...Ch. 2 - A shopper standing 3.00 m from a convex security...Ch. 2 - An object 1.50 cm high is held 3.00 cm from a...Ch. 2 - Ray tracing for a flat mirror shows that the image...Ch. 2 - Show that, for a flat mirror, hi=ho, given that...Ch. 2 - Use the law of reflection to prove that the focal...Ch. 2 - Referring to the electric room heater considered...Ch. 2 - Two mirrors are inclined at an angle of 60 ° and...Ch. 2 - Two parallel mirrors are facing each other and are...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in air 30 cm from the vertex...Ch. 2 - An object is located in water 15 cm from the...Ch. 2 - An object is located in water 30 cm from the...Ch. 2 - An object is located in air 5 cm from the vertex...Ch. 2 - Derive the spherical interface equation for...Ch. 2 - How far from the lens must the film in a camera...Ch. 2 - A certain slide projector has a 100 mm-focal...Ch. 2 - A doctor examines a mole with a 15.0-cm focal...Ch. 2 - A camera with a 50.0-mm focal length lens is being...Ch. 2 - A camera lens used for taking close-up photographs...Ch. 2 - Suppose your 50.0 mm-focal length camera lens is...Ch. 2 - What is the focal length of a magnifying glass...Ch. 2 - The magnification of a book held 7.50 cm from a...Ch. 2 - Suppose a 200 mm-focal length telephoto lens is...Ch. 2 - A camera with a 100 mm-focal length lens is used...Ch. 2 - Use the thin—lens equation to show that the...Ch. 2 - An object of height 3.0 cm is placed 5.0 cm in...Ch. 2 - An object of height 3.0 cm is placed at 5.0 cm in...Ch. 2 - Au object of height 3.0 cm is placed at 25 cm in...Ch. 2 - Two convex lenses of focal lengths 20 cm and 10 cm...Ch. 2 - What is the power of the eye when viewing an...Ch. 2 - Calculate the power of the eye when viewing an...Ch. 2 - The print in many books averages 3.50 mm in...Ch. 2 - Suppose a certain person’s visual acuity is such...Ch. 2 - People who do very detailed work close up, such as...Ch. 2 - What is the far point of a person whose eyes have...Ch. 2 - What is the near point of a person whose eyes have...Ch. 2 - (a) A laser reshaping the cornea of a myopic...Ch. 2 - The power for normal close vision is 54.0 D. In a...Ch. 2 - For normal distant vision, the eye has a power of...Ch. 2 - The power for normal distant vision is 50.0 D. A...Ch. 2 - A student’s eyes, while reading the blackboard,...Ch. 2 - The power of a physician’s eyes is 53.0 D while...Ch. 2 - The normal power for distant vision is 50.0 D. A...Ch. 2 - The far point of a myopic administrator is 50.0...Ch. 2 - A very myopic man has a far point of 20.0 cm. What...Ch. 2 - Repeat the previous problem for eyeglasses held...Ch. 2 - A myopic person sees that her contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact lens prescription for a mildly...Ch. 2 - If the image formed on the retina subtends an...Ch. 2 - What is the magnification of a magnifying lens...Ch. 2 - How far should you hold a 2.1 cm-focal length...Ch. 2 - You hold a 5.0 cm-focal length magnifying glass as...Ch. 2 - You view a mountain with a magnifying glass of...Ch. 2 - You view an object by holding a 2.5 cm-focal...Ch. 2 - A magnifying glass forms an image 10 cm on the...Ch. 2 - An object viewed with the naked eye subtends a 2°...Ch. 2 - For a normal, relaxed eye, a magnifying glass...Ch. 2 - What range of magnification is possible with a 7.0...Ch. 2 - A magnifying glass produces an angular...Ch. 2 - A microscope with an overall magnification of 800...Ch. 2 - (a) What magnification is produced by a 0.150...Ch. 2 - Where does an object need to be placed relative to...Ch. 2 - An amoeba is 0.305 cm away from the 0.300 cm-...Ch. 2 - Unreasonable Results Your friends show you an...Ch. 2 - What is the angular magnification of a telescope...Ch. 2 - Find the distance between the objective and...Ch. 2 - A large reflecting telescope has an objective...Ch. 2 - A small telescope has a concave mirror with a...Ch. 2 - A 7.5 binocular produces an angular magnification...Ch. 2 - Construct Your Own Problem Consider a telescope of...Ch. 2 - Trace rays to find which way the given ray will...Ch. 2 - Copy and draw rays to find the final image in the...Ch. 2 - A concave mirror of radius of curvature 10 cm is...Ch. 2 - An object of height 3 cm is placed at 25 cm in...Ch. 2 - An object of height 3 cm is placed at a distance...Ch. 2 - An object of height 2 cm is placed at 50 cm in...Ch. 2 - Two concave mirrors are placed facing each other....Ch. 2 - A lamp of height S cm is placed 40 cm in front of...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - Parallel rays from a faraway source strike a...Ch. 2 - A light bulb is placed 10 cm from a plane mirror,...Ch. 2 - A point source of light is 50 cm in front of a...Ch. 2 - Copy and trace to find how a horizontal ray from S...Ch. 2 - Copy and trace how a horizontal ray from S comes...Ch. 2 - Copy and draw rays to figure out the final image.Ch. 2 - By ray tracing or by calculation, find the place...Ch. 2 - A diverging lens has a focal length of 20 cm. What...Ch. 2 - Two lenses of focal lengths of f1and f2are glued...Ch. 2 - What will be the angular magnification of a convex...Ch. 2 - What will be the formula for the angular...Ch. 2 - Use a ruler and a protractor to draw rays to find...Ch. 2 - Where should a 3 cm tall object be placed in front...Ch. 2 - A 3 cm tall object is placed 5 cm in front of a...Ch. 2 - You are looking for a mirror so that you can see a...Ch. 2 - Derive the following equation for a convex mirror:...Ch. 2 - (a) Draw rays to form the image of a vertical...Ch. 2 - Use another ray-tracing diagram for the same...Ch. 2 - You photograph a 2.0-m-tall person with a camera...Ch. 2 - Find the focal length of a thin plano-convex lens....Ch. 2 - Find the focal length of a meniscus lens with...Ch. 2 - A nearsighted man cannot see objects clearly...Ch. 2 - A mother sees that her child’s contact lens...Ch. 2 - Repeat the previous problem for glasses that are...Ch. 2 - The contact-lens prescription for a nearsighted...Ch. 2 - Unreasonable Results A boy has a near point of 50...Ch. 2 - Find the angular magnification of an image by a...Ch. 2 - Let objective and eyepiece of a compound...Ch. 2 - Draw rays to scale to locate the image at the...Ch. 2 - The objective and the eyepiece of a microscope...Ch. 2 - A far-sighted person has a near point of 100 cm....Ch. 2 - A near-sighted person has afar point of 80 cm. (a)...Ch. 2 - In a reflecting telescope the objective is a...Ch. 2 - Two stars that are 109km apart are viewed by a...Ch. 2 - What is the angular size of the Moon if viewed...Ch. 2 - An unknown planet at a distance of 1012 m from...
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- A 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_forwardThe 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_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_forward
- A shopper standing 3.00 m from a convex security mirror sees his image with a magnification of 0.250. (a) Were is his image? (b) What is the focal length of the minor? (c) What is its radius of curvature?arrow_forwardBy using more than one flat mirror, construct a ray diagram showing how to create an inverted image.arrow_forwardConsider a pair of flat mirrors that are positioned so that they form an angle of 120 . An object is placed on the bisector between the minors. Construct a ray diagram as in Figure 2.4 to show how many images are formed. Figure 2.4 Two minors can produce multiple images. (a) Three images of a plastic lead are visible in the two minors at a right angle. (b) A single object reflecting from two minors at a right angle can produce three images, as shown by the greet, purple, and red images.arrow_forward
- Consider a pair of flat mirrors that are positioned so that they form an angle of 60 .. An object is placed on the bisector between the mirrors. Construct a ray diagram as in Figure 2.4 to show how many images ale formed. Figure 2.4 Two minors can produce multiple images. (a) Three images of a plastic lead are visible in the two minors at a right angle. (b) A single object reflecting from two minors at a right angle can produce three images, as shown by the greet, purple, and red images.arrow_forwardUse a ruler and a protractor to find the image by refraction in the following cases. Assume an air-glass interface. Use a refractive index of 1 for air and of 1.5 for glass. (Hint: Use Snell’s law at the interface.) (a) A point object located on the axis of a concave interface located at a point within the focal length from the vertex. (b) A point object located on the axis of a concave interface located at a point farther than the focal length from the vertex. (c) A point object located on the axis of a convex interface located at a point within the focal length from the vertex. (d) A point object located on the axis of a convex interface located at a point farther than the focal length from the vertex. (e) Repeat (a)—(d) for a point object off the axis.arrow_forwardThe use of a lens in a certain situation is described by the equation 1p+13.50p=17.50cm Determine (a) the object distance and (b) the image distance. (c) Use a ray diagram to obtain a description of the image. (d) Identify a practical device described by the given equation and write the statement of a problem for which the equation appears in the solution.arrow_forward
- What are the differences between real and virtual images? How can you tell (by looking) whether an image formed by a single lens or mirror is real or virtual?arrow_forwardA shopper standing 3.00 m from a convex security minor sees his image with a magnification of 0.250. (a) Where is his image? (b) What is the focal length of the mirror? (c) What is its radius of curvature? Explicitly show how you follow the steps in the Problem-Solving Strategy for Mirrors.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_forward
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