Concept explainers
we have to find the focal length of the lens.
Answer to Problem 77GP
Solution: For determining the focal length of given lens we will use the lens formula.
Explanation of Solution
Given that an object is placed 60 cm from a certain converging lens (convex lens), it forms a real image. And when the object is moved closer to lens at 40 cm, the image moves 10 cm farther from the lens.
Given:
Given that in first case object distance from lens (say) (according to the sign convention for convex lens, when object is behind lens)
In second condition object distance from lens (say) (according to sign convention of convex lens, when object is behind lens)
Let’s assume that focal length of lens is (say)
And in first case image is formed at distance =
So, in second case image distance from object would be =
Formula used:
Focal length of convex lens if represented by
Calculation:
For the first case
For the second case
From equation 1 and 2, equating both we get
Now since we have got value of v1 then by putting this value in equation 1 or 2 we can find the value of focal length f.
So by putting both the values of v1 in equation 1, we find
Since focal length of convex lens can not be negative so focal length of the lens is 20 cm.
Chapter 23 Solutions
Physics: Principles with Applications
Additional Science Textbook Solutions
Tutorials in Introductory Physics
College Physics (10th Edition)
Cosmic Perspective Fundamentals
Applied Physics (11th Edition)
University Physics with Modern Physics (14th Edition)
Essential University Physics: Volume 2 (3rd 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