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Question

A small object is placed $20 \ \mathrm{cm}$ from the first of a train of three lenses with focal lengths, in order, of $10$, $15$, and $20\ \mathrm{cm}$.. The first two lenses are separated by $30 \ \mathrm{cm}$ and the last two by $20 \ \mathrm{cm}$ . Calculate the final image position relative to the last lens and its linear magnification relative to the original object when (a) all three lenses are positive, (b) the middle lens is negative, (c) the first and last lenses are negative. Provide ray diagrams for each case.

Solution

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