Two converging lenses are placed 34.0 cm apart. The focal length of the lens on

Question

Two converging lenses are placed 34.0 cm apart. The focal length of the lens on the right is 21.5 cm, and the focal length of the lens on the left is 15.0 cm. An object is placed to the left of the 15.0 cm focal-length lens. A final image from both lenses is inverted and located halfway between the two lenses. How far to the left of the 15.0 cm focal-length lens is the original object? Two converging lenses are placed 34.0 cm apart. The focal length of the lens on the right is 21.5 cm, and the focal length of the lens on the left is 15.0 cm. An object is placed to the left of the 15.0 cm focal-length lens. A final image from both lenses is inverted and located halfway between the two lenses. How far to the left of the 15.0 cm focal-length lens is the original object?

Explanation / Answer

1/v1 - 1/u1 = 1/15

v2= 34/2 -17cm

-1/17 - 1/u2 = 1/21.5

u2 = -9.49 cm

so v1 = 34-9.49 = 24.50 cm

so 1/24.5 - 1/u1 = 1/15

this gives u1 = -38.68 cm that is the object was at this distance left to the left lens

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