An optical bench is set up as shown in the figure. The object of height 2.5 cm is placed at x = 3 cm on the optical bench, a convex lens is placed at x = 28 cm on the optical bench, and a concave lens is placed at x = 45 cm on the optical bench. The convex lens has a focal length of 14 cm, and the concave lens has a focal length of -18 cm. convex concave screen object lens lens

University Physics Volume 3
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Chapter2: Geometric Optics And Image Formation
Section: Chapter Questions
Problem 111P: An object of height 3 cm is placed at a distance of 25 cm in front of a converging lens of focal...
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An optical bench is set up as shown in the figure. The object of height 2.5 cm is placed at x = 3 cm
on the optical bench, a convex lens is placed at x = 28 cm on the optical bench, and a concave lens
is placed at x = 45 cm on the optical bench. The convex lens has a focal length of 14 cm, and the
concave lens has a focal length of -18 cm.
convex
concave
screen
object
lens
lens
X
3 cm
28 cm
45 cm
? cm
(a) What is the object distance for the convex lens, in cm?
(b) What is the image distance for the convex lens, in cm?
(c) What is the "magic number", i.e., the position of the image formed by the convex lens only, in
cm?
(d) What is the object distance for the concave lens, in cm?
(e) What is the image distance for the concave lens, in cm?
(f) What is the position of the screen for which the image will be in focus with both lenses in place,
in cm?
Transcribed Image Text:An optical bench is set up as shown in the figure. The object of height 2.5 cm is placed at x = 3 cm on the optical bench, a convex lens is placed at x = 28 cm on the optical bench, and a concave lens is placed at x = 45 cm on the optical bench. The convex lens has a focal length of 14 cm, and the concave lens has a focal length of -18 cm. convex concave screen object lens lens X 3 cm 28 cm 45 cm ? cm (a) What is the object distance for the convex lens, in cm? (b) What is the image distance for the convex lens, in cm? (c) What is the "magic number", i.e., the position of the image formed by the convex lens only, in cm? (d) What is the object distance for the concave lens, in cm? (e) What is the image distance for the concave lens, in cm? (f) What is the position of the screen for which the image will be in focus with both lenses in place, in cm?
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