An object and screen are located as shown below, and a converging lens is placed between them. The lens produces a sharp image of the object on the screen. On the diagram, draw two principal rays from the top of the object (i.e. tip of the pencil) to the screen that will allow you to locate both focal points of the lens, and label these points on the diagram. Explain the reasoning used to determine the answer. On the diagram of the previous question, it is known that the distance between the lens and the object is twice the distance between the lens and the screen. It is also found that by moving the object closer to the lens by 12 cm, the lens produces a lateral magnification of –1 (of course the screen is also moved in the process). Compute the focal length of the lens in cm. Please show work

An object and screen are located as shown below, and a converging lens is placed between them. The lens produces a sharp image of the object on the screen. On the diagram, draw two principal rays from the top of the object (i.e. tip of the pencil) to the screen that will allow you to locate both focal points of the lens, and label these points on the diagram. Explain the reasoning used to determine the answer. On the diagram of the previous question, it is known that the distance between the lens and the object is twice the distance between the lens and the screen. It is also found that by moving the object closer to the lens by 12 cm, the lens produces a lateral magnification of –1 (of course the screen is also moved in the process). Compute the focal length of the lens in cm. Please show work