Concept explainers
To explain: how the size of the image of ball changes as the ball rolls towards the concave mirror.
Answer to Problem 92A
The size of the image of the ball increases as the ball moves towards the concave mirror.
Explanation of Solution
Introduction:
Consider an object of height
Show the expression for the magnification of the image as follows:
The size of the image is larger than the size of the object, when the absolute value of the magnification of image is greater than 1.
The size of the image is smaller than the size of the object, when the absolute value of the magnification of image is lesser than 1.
Show the position of the ball as shown in Figure below.
Refer the Figure,
Consider the distance of the image from the mirror is denoted by
Consider the distance of the object from the mirror is denoted by
Position 1: ball is placed beyond the radius of curvature of the mirror.
The image will be formed between the radius of curvature
Hence, the distance of the image from the mirror
The absolute value of magnification of the image is lesser than 1 as
Thus, the size of the image is smaller than the size of the object when the object is placed beyond the radius of curvature.
Position 2: ball is placed between the radius of curvatureand the focal length of the mirror.
The image will be formed beyond the radius of curvature
Hence, the distance of the image from the mirror
The absolute value of magnification of the image is greater than 1 as
Thus, the size of the image is larger than the size of the object when the object is placed in between the radius of curvature and focal length of the mirror.
Position 3:ball is placed between the focal length and the mirror.
The absolute distance of the image from the mirror
The absolute value of magnification of the image is greater than 1 as
Thus, the size of the image is larger than the size of the object when the object is placed in between the focal length and mirror.
Compare the size of the image of the object as its moves towards the mirror,
The size of the image of the object increases as it moves from position 1 to position 3.
Hence, the size of the image of the ball increases as the ball moves towards the concave mirror.
Conclusion:
Thus, the size of the image of the ball increases as the ball moves towards the concave mirror.
Chapter 17 Solutions
Glencoe Physics: Principles and Problems, Student Edition
Additional Science Textbook Solutions
College Physics (10th Edition)
University Physics Volume 1
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Essential University Physics: Volume 2 (3rd Edition)
College Physics
College Physics: A Strategic Approach (4th Edition)
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON