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Ray diagrams and images

The images formed by a lens can be:

  • upright or inverted (upside down compared to the object)
  • magnified or diminished (smaller than the object)
  • real or virtual

A is an image that can be projected onto a screen. A appears to come from behind the lens.

To draw a :

  1. Draw a ray from the object to the lens that is parallel to the principal axis. Once through the lens, the ray should pass through the principal focus.
  2. Draw a ray which passes from the object through the centre of the lens.

Some ray diagrams may also show a third ray.

Convex lenses

The type of image formed by a lens depends on the lens used and the distance from the object to the lens.

A camera or human eye

Cameras and eyes contain convex lenses. For a distant object that is placed more than twice the from the lens, the image is:

  • inverted
  • diminished
  • real
Three light rays extend out from the object arrows and cross the lens at each end. These cross on the other side of the lens under a smaller green arrow.
Figure caption,
Ray diagram for an object placed more than two focal lengths away from a convex lens

Projectors

Projectors contain convex lenses. For an object placed between one and two focal lengths from the lens, the image is:

  • inverted
  • magnified
  • real
Three light rays extend out from the object arrows and cross the lens. These cross on the other side of the lens under a larger green arrow that is labelled 'image'.
Figure caption,
Ray diagram for an object placed between 2F and F from a convex lens

In a film or data projector, this image is formed on a screen. Film must be loaded into the projector upside down so the projected image is the right way up.

Magnifying glasses

A magnifying glass is a convex lens used to make an object appear much larger than it actually is. This works when the object is placed at a distance less than the focal length. The image is:

  • upright
  • magnified
  • virtual
Two light rays extend out from the object which is shown by a small green arrow that sits between F and the lens. The rays that extend to the image are in a lighter shade.
Figure caption,
Ray diagram for an object placed less than one focal length from a convex lens

Concave lenses

Peep holes contain concave lenses. They are set into doors so the occupant can identify a visitor before opening the door.

Three light rays extend out from the object towards the lens. On the other side of the lens the rays bend in different directions.
Figure caption,
Ray diagram for an object viewed through a concave lens

For an object viewed through a lens, light rays from the top of the object will be and will on the other side of the lens. These rays will appear to come from a point:

  • the same side of the principal axis, meaning the image will be upright
  • closer to the principal axis, so the image will be smaller than the object