Sketch a ray diagram to show that when an object is placed more than twice the focal length away from a converging lens, the image formed is inverted, real, and diminished in size tutorial: lens)

First, draw a converging lens in the center of your diagram, with the principal axis (a horizontal line) going through the center of the lens. Mark the two focal points, labeled F1 and F2, on either side of the lens at an equal distance from the lens. The distance between the lens and a focal point is the focal length.

Next, draw an upright arrow (representing the object) on the same side of the lens as F1, ensuring that it's placed more than twice the focal length away from the lens. The object should be to the left of the lens in the diagram.

Now, we need to draw three rays from the object to the lens: a. Draw a ray parallel to the principal axis from the top of the object arrow that passes through the lens. This ray will then refract (bend) and pass through the focal point, F2, on the other side of the lens. b. Draw another ray from the top of the object arrow straight through the center of the lens. This ray will not refract and will continue straight on the other side. c. Draw the last ray from the top of the object arrow through the first focal point, F1. When this ray reaches the lens, it'll refract and become parallel to the principal axis on the other side. The point where these three rays meet on the right side of the lens is the location of the image.

Now, observe the image formed by the intersection of the three rays: a. The image is below the principal axis, making it inverted. b. It is formed on the same side of the lens as the light rays that pass through the lens, indicating that it's a real image. c. By comparing the height of the object arrow with the height of the image arrow, you can see that the image is smaller, or diminished, in size. In conclusion, a ray diagram confirms that when an object is placed more than twice the focal length away from a converging lens, the image formed is indeed inverted, real, and diminished in size.