Liquid crystal display (LCD) projectors have a small LCD screen inside of them. This emits light and serves as the object for a lens that creates a magnified image on the screen at the front of the room. Let's assume the LCD projector in our classroom uses only a single, thin lens to project its image onto the screen. The LCD itself inside the projector is 24.0 mm high, and its image should fill the 1.8 m high screen at the front of the room which is a distance of 3.00 m from the lens.
a) How far should the lens be from the LCD (be sure to keep at least 3 significant figures throughout your calculations)?
b) What should the focal length of the lens be?