Concept explainers
Part (a)To Show:
The formula of focal length of combination of two thin lenses is represented by
Answer to Problem 91GP
Solution:
Explanation of Solution
Given:
focal length of two lenses f1 and f2, combined focal length f and combined power P, and power of both the lenses P1 and P2.
Formula used:
lens formula for focal length
Calculation:
If two thin lenses of focal length f1 and f2 are placed in contact with each other both on same principle axis as shown in diagram
If a point object is placed on the principle axis at a distance u from the first lens L1. Its image would be formed by lens L1 at I' at a distance v' from lens L1.
Then, from the lens formula, we have
I' will be used as a virtual object for second lens L2 which forms a final image I at a distance v from it.
Then, we have
From equation (1)and (2)by adding it we get
If we replace both the lens by a single lens L which forms the image of an object at a distance u from it, at a distance v, then focal length of the equivalent lens would be given by
From equation (3)and (4)we get
Part (b)To Show:
power of combination of lenses is equal to the sum of their separate powers, .
Answer to Problem 91GP
Solution:
Explanation of Solution
Given:
focal length of two lenses f1 and f2, combined focal length f and combined power P, and power of both the lenses P1 and P2.
Formula used:
power is given as P = 1/f
Calculation:
From equation (5), we get
That means total power is .
Chapter 23 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
University Physics Volume 2
Tutorials in Introductory Physics
Physics for Scientists and Engineers with Modern Physics
Essential University Physics: Volume 2 (3rd Edition)
Applied Physics (11th Edition)
Sears And Zemansky's University Physics With Modern Physics
- 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