Consider two thin lenses, one of focal length f1 and the other of focal length f2 , placed in contact with each other, as shown in Figure P23.56. Apply the thinlens equation to each of these lenses and combine the results to show that this combination of lenses behaves like a thin lens having a focal length f given by 1/ f = 1/f1 + 1/f2. Assume the thicknesses of the lenses can be ignored in comparison to the other distances involved.

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 7OQ: A converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is...
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Consider two thin lenses, one of focal length f1 and the other of focal length f2 , placed in contact with each other, as shown in Figure P23.56. Apply the thinlens equation to each of these lenses and combine the results to show that this combination of lenses behaves like a thin lens having a focal length f given by 1/ f = 1/f1 + 1/f2. Assume the thicknesses of the lenses can be ignored in comparison to the other distances involved.

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