How Do You Calculate the Separation Between Two Converging Lenses?

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To calculate the separation between two converging lenses, start with the first lens where the focal length (f) is 16.0 cm and the object distance (do) is 20.0 cm. The magnification (m) is set to 1, indicating that the image distance (di) is -20 cm. The real image formed by the first lens serves as a virtual object for the second lens, requiring the use of the lens formula 1/o + 1/i = 1/f for calculations. The process involves treating the image distances appropriately for each lens to determine the required separation. Understanding these relationships is crucial for accurate calculations in optics.
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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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