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Find the location of the image and its character

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A convex lens of focal length 7.5 cm is placed 12 cm to the left of a convex lens with a focal length of 6.5 cm. An object is placed 10.0 cm to the left of the lens with a focal length of 7.5 cm.

Find the location of the image and its character (e.g., real, inverted)
(A ray diagram may prove to be helpful also).

Thank you for any help that you can provide!

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Solution Summary

Using a diagram, this solution calculates lens distances and demonstrates where the image and its character are located.

Solution Preview

This is a tough one! Since the second lens is placed even the ray passes from the first lens. Anyway, you'll be clear when you see the solution. Beware of the sign. Please see attached.
The ray diagram is drew as

where the orange lines are at the focus of lens 1, the yellow line is at the focus of lens 2. To draw the diagram, first find the position of the Image 1 by drawing from the object ...

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