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When two thin lenses are kept in contact, prove that their combined or effective focal length F is…

Physics20183 marksDerivation
When two thin lenses are kept in contact, prove that their combined or effective focal length F is given by: $\frac{1}{F} = \frac{1}{f_1} + \frac{1}{f_2}$ where the terms have their usual meaning.

To show: $\frac{1}{F} = \frac{1}{f_1} + \frac{1}{f_2}$

Answer

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Ray Optics and Optical Instruments

From ISC 2018 Physics Paper 1, question 16(b).