An object of height \(5.00 \mathrm{cm}\) is placed \(20.0 \mathrm{cm}\) from a converging lens of focal length \(15.0 \mathrm{cm} .\) Draw a ray diagram to find the height and position of the image.

Question: An object of height 5.0 cm is placed 20.0 cm from a converging lens with a focal length of 15.0 cm. Determine the position and the height of the image formed and provide steps to draw the ray diagram. Answer: The position of the image is 12.0 cm on the opposite side of the lens and it has a height of 3.0 cm (upright). To draw the ray diagram, follow these steps: 1. Draw the lens, marking its focal points F1 and F2, and the principal axis (PA) passing through the center of the lens. 2. Mark the position of the object (20.0 cm from the lens and 5.0 cm above the principal axis). 3. Draw a ray from the top of the object to the lens parallel to the principal axis. After passing through the lens, the ray should go through the focal point F2. 4. Draw another ray from the top of the object going through the center of the lens. This ray will continue without bending on the other side of the lens. 5. Mark the intersection of the two rays on the opposite side of the lens, which will be the position of the image (12.0 cm from the lens and 3.0 cm above the principal axis, upright).