Concept explainers
Part(a)To determine:
The magnification of the parallel X ray beams.
Answer to Problem 57P
Solution:
The magnification of a parallel beam of X rays is +1 x.
Explanation of Solution
Given:
Parallel beam of X rays falls on the object.
When a parallel beam of X rays falls on an object, the rays pass through the object in straight lines and cast a shadow on the film placed behind the object.
If the shadow is considered as the image of the object, it can be seen from the above diagram, the size of the image is equal to the size of the object.
Since magnification m is given by,
The magnification is positive and equal to 1.
Part (b)To determine:
The magnification produced by a point source of X rays.
Answer to Problem 57P
Solution:
The magnification produced varies from +1 x to +2.7 x.
Explanation of Solution
When a diverging beam of X rays from a point source falls on a person, the ray diagram can be drawn as shown below.
The diverging beams form two similar triangles for the extreme positions.
The ratio of the heights of the image and the object is equal to the ratio of the distances of the front and the back of the person from the source.
Hence magnification is given by,
If the person’s thickness is t, then,
Therefore,
At the centre, however, the beam passes without diverging and hence the magnification of the central regions remain at +1.
Given:
Distance between the person and the source
The person’s thickness
Formula:
Calculation:
Substitute the given values in the equation and solve.
Chapter 25 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
Tutorials in Introductory Physics
Cosmic Perspective Fundamentals
Physics (5th Edition)
Conceptual Physics (12th Edition)
The Cosmic Perspective Fundamentals (2nd Edition)
The Cosmic Perspective (8th 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