1. An overhead projector with a lens of 35.6-cm focal length is used to throw an image on a screen 1.80 m away. If you consider the lens to be a thin lens, how far is the slide from the lens when the image is in focus? What is the magnification in this setup? Work this problem by ray tracing?

2. Work Problem 1 using the thin-lens equation?

3. An incandescent light bulb is marked "60 W" on its upper end. A lens of 25-cm focal length, when held above the light bulb, forms an image of the "60 W" on the ceiling. If the distance from the lens to the ceiling is 1.30m, how much larger are the letters and numbers in the image on the ceiling than on the object light bulb? Work this problem by ray tracing.

4. A luminous object is placed 3.00 m from a screen. When a lens is interposed between the object and the screen at a distance of 0.50 m from the screen, an in-focus image of the object forms on the screen. It is claimed that if the object is moved 1.70 m farther from the screen and the lens moved 0.30 farther from the screen, the image will again be in focus. Is this claim true?

5. Two thin lenses, each with + 12-cm focal length, are placed 60 cm apart. An object 18cm to the left of the first lens is imaged a distance of x to the right of the second lens. Determine x?

6. A 3.0-cm-tall domino is located 100cm from a concave spherical mirror of R = 30cm. Locate the position of the image and find the magnification?

7. A shiny, spherical Christmas tree ornament is 95 mm in diameter. (a) Where is the image of a child standing 2.0 m away from the ornament? (b) What is the magnification of the image? (c) Is the image inverted or erect?

An object is placed to the left of a convex lens and on the optical axis. The object is 36 cm from the lens and the focal length of the lens is 66 cm. What is the magnification of the image formed by the lens? You do not have to enter units for this problem.

Two converging lenses, A with a focal length of +2.0 cm and B with a focal length of +5.0 cm, are placed 14c m apart. An object is placed 3.0 cm to the left of lens A.
a) Use graphical methods, to scale, to construct the ray diagram with a measurement of the final image position and height; and
b) Use the lensequation to de

A small object is placed to the left of a convex lens and on the optical axis. The object is 65.2 cm from the lens and the focal length of the lens is 36 cm. What is the position of the image formed by the lens?

A thin lens forms an image of an overhead electric lamp on a piece of paper. The distance to the lamp from the lens is 148 cm; the distance to the paper from the lens is 16.0 cm. What is the focal length of the lens?
I need to see each step and formula to solve this question.

Lensequation. The focal length f for a camera lens is related to the object distance o and the image distance i by the formula
1/f=1/0+1/i
Telephoto lens. Use this formula to find the image distance i for an object that is 2,000,000 mm from a 250-mm telephoto lens.

5. An object is placed 30 cm to the left of a converging lens of focal length 15 cm, and a diverging lens of focal length 20 cm is placed 45 cm to the right of the first lens. How far from the original object is the final image? What is the magnification of the lens combination?
6. While talking to someone who is wearing sung

Work this problem using the thin-lensequation:
A diverging lens with focal length of 25 cm is used to view a postage stamp 50 cm from the lens. (a) How far from the lens does the stamp appear? (b) What is the magnification of the image? Work this problem by ray tracing?
I need to see each step and formula to solve this ques

Two 25.0 cm focal-length converging lenses are placed 16.5 cm apart. An object is placed 30.0 cm in front of one. Where will the final image formed by the second lens be located? What is the total magnification?

See diagram in the attached file.
Two lenses that are L = 37 cm apart are used to form an image, as shown in Figure 26-52. Lens 1 is diverging and has a focal length f1 = -7 cm; lens 2 is converging and has a focal length f2 = 17 cm.
Figure 26-52
(a) Determine the distance from lens 1 to the final image. (Include the

In figure attached, a real inverted image I of an object O is formed by a certain lens (not shown); the object-image separation is d = 40.0 cm, measured along the central axis of the lens. The image is just half the size of the object.
What kind of lens must be used to produce this image?
How far from the object must the le