How Do You Calculate the Separation Between Two Converging Lenses?

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SUMMARY

The discussion focuses on calculating the separation between two converging lenses, each with a focal length (f) of 16.0 cm. An object (coin) is positioned 20.0 cm to the left of the first lens, resulting in a virtual object for the second lens. The magnification (m) is determined to be 1, indicating that the image size and orientation remain unchanged. The key formula used is the lens equation: 1/o + 1/i = 1/f, which is essential for solving the problem.

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A coin is located 20.0 cm to the left of a converging lens (f=16.0 cm). A second identical lens is placed to the right of the first lens, such that the image formed by the combination has the same size and orientation as the original coin. Find the separation between the lenses.

So,

f= 16 cm
do = 20 cm

m=-di/do, since the object and image have the same size and orientation,
m=1, so -di=do > -di=20cm > di= -20cm

And that's about where I left it. Does anyone have any input they can contribute?

Much appreciated...
 
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Real image of the first lens becomes the virtual object to the second lens, vice versa. f = 16.0cm , o=20.0cm. The resulting image of the first lens = V/R?

Treat the real image of the first lens as the virtual object(o = negative) for the second lens. Treat the virtual image of the first lens as the real object(o = positive) for the second lens. Using the equation 1/o + 1/i = 1/f, and there you go.
 

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