Final answer:
The final image formed by two converging lenses with a given setup can be found by applying the lens formula twice, once for each lens, taking the image from the first lens as the object for the second.
Step-by-step explanation:
To find where the final image will be formed by two converging lenses with the same focal length of 27 cm placed 16.5 cm apart, with an object placed 35 cm in front of lens 1, we use the lens formula: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. For the first lens, we substitute do with 35 cm and f with 27 cm to find the image distance.
Once we have the image distance for the first lens, this image serves as the object for the second lens. However, the object distance for the second lens will be the distance between the two lenses subtracted from the image distance obtained from the first lens. Repeat the use of the lens formula with these new values to find the final image distance.
To find the location of the final image formed by two converging lenses, we can use the lens formula:
1/f = 1/v - 1/u
Where f is the focal length, v is the image distance, and u is the object distance.
Given that the focal length of both lenses is 27 cm, the object distance from lens 1 is 35 cm, and the lenses are placed 16.5 cm apart, we can find the image distance for lens 1 using the lens formula. Then, we can use the result as the object distance for lens 2 and find the image distance for lens 2. The final image will be formed at the image distance for lens 2.