Two Lenses in Contact. (a) Prove that when two thin lenses
Chapter 34, Problem 34.96(choose chapter or problem)
Two Lenses in Contact. (a) Prove that when two thin lenses with focal lengths \(f_1\) and \(f_2\) are placed in contact, the focal length f of the combination is given by the relationship
\(\frac{1}{f}=\frac{1}{f_{1}}+\frac{1}{f_{2}}\)
(b) A converging meniscus lens (see Fig. 34.32a) has an index of refraction of 1.55 and radii of curvature for its surfaces of magnitudes 4.50 cm and 9.00 cm. The concave surface is placed upward and filled with carbon tetrachloride \(\left(\mathrm{CCl}_{4}\right)\) which has n = 1.46. What is the focal length of the \(\mathrm{CCl}_{4}\)-glass combination?
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