Problem 2: An object is placed between the focal point and the front of a concave mirror, as shown. Only one of the locations indicated by the small black circles acts as a focal point. Select all diagrams which show a correctly drawn ray for the scenario in the problem statement.

Problem 2: An object is placed between the focal point and the front of a concave mirror, as shown. Only one of the locations indicated by the small black circles acts as a focal point. Select all diagrams which show a correctly drawn ray for the scenario in the problem statement.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter26: Image Formation By Mirrors And Lenses

Section: Chapter Questions

Problem 6OQ: If Joshs face is 30.0 cm in front of a concave shaving mirror creating an upright image 1.50 times...

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Concept explainers

Applications Of Reflection Of Light

When a light ray (termed as the incident ray) hits a surface and bounces back (forms a reflected ray), the process of reflection of light has taken place.

Sign Convention for Mirrors

A mirror is made of glass that is coated with a metal amalgam on one side due to which the light ray incident on the surface undergoes reflection and not refraction.

Question

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Problem 2: An object is placed between the focal point and the front of a concave mirror, as shown.
Only one of the locations indicated by the small black circles acts as a focal point.
Select all diagrams which show a correctly drawn ray for the scenario in the problem statement.

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A 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?
(a) A concave spherical mirror forms an inverted image 4.00 times larger than the object. Assuming the distance between object and image is 0.600 m, find the focal length of the minor, (b) What If? Suppose the mirror is convex. The distance between the image and the object is the same as in part (a), but the image is 0.500 the size of the object. Determine the focal length of the mirror.
(i) When an image of an object is formed by a plane mirror, which of the following statements is always true? More than one statement may be correct. (a) The image is virtual. (b) The image is real. (c) The image is upright. (d) The image is inverted. (e) None of those statements is always true. (ii) When the image of an object is formed by a concave mirror, which of the preceding statements are always true? (iii) When the image of an object is formed by a convex mirror, which of the preceding statements are always true?
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?
(i) When an image of an object is formed by a converging lens, which of the following statements is always true? More than one statement may be correct. (a) The image is virtual. (b) The image is real. (c) The image is upright. (d) The image is inverted. (e) None of those statements is always true. (ii) When the image of an object is formed by a diverging lens, which of the statements is always true?
If 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 answers
Consider 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.
A concave spherical mirror has a radius of curvature of magnitude 24.0 cm. (a) Determine the object position for which the resulting image is upright and larger than the object by a factor of 3.00. (b) Draw a ray diagram to determine the position of the image. (c) Is the image real or virtual?
An object 1.50 cm high is held 3.00 cm from a person’s cornea, and its reflected image is measured to be 0.167 cm high. (a) What is the magnification? (b) Where is the image? (c) Find the radius of curvature of the convex mirror formed by the cornea. (Note that this technique is used by optometrists to measure the curvature of the cornea for contact lens fitting. The instrument used is called a keratometer, or curve measurer.)
Suppose a man stands in front of a mirror as shown in Figure 25.50. His eyes are 1.65 m above the floor, and the top of his head is 0.13 m higher. Find the height above the floor of the top and bottom of the smallest mirror in which he can see both the top of his head and his feet. How is this distance related to the man’s height? Figure 25.50 A full-length mirror is one in which you can see all of yourself. It need not be as big as you, and its size is independent of your distance from it.
Use 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.
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?