Ray Diagrams for Concave Mirrors and its use

 For a Concave Mirror, an object can be placed at any position so that image is created at different - different positions. We can find image position, its nature, and its size using Ray Diagrams.
 To get an image of an object we need at least two rays coming from the object to meet somewhere. In order to this, we follow rules of making a ray diagram in the mirror.

Case - 1

Object(AB) is placed at infinity

  Here as shown in figure two light rays parallel to Principal Axis pass through Focus after reflection. So the image is formed on the Focus of the mirror.

First Ray Diagram for Concave Mirror

Result:-

Object PositionAt Infinity
Image PositionAt Focus (F)
Nature of ImageReal and Inverted
Image SizePoint Sized

Case - 2

An object placed beyond the Center of Curvature (C)
Second case of Concave Mirror Ray Diagram

Result:-

Object PositionBeyond Center of Curvature (C)
Image PositionBetween Focus (F) and Center of Curvature (C)
Nature of imageReal and Inverted
Image SizeSmaller

Case - 3

An object placed at the Center of Curvature (C)
Third case of Concave Mirror ray diagrams

Result:-

Object PositionAt Center of Curvature (C)
Image PositionAt Center of Curvature (C)
Nature of imageReal and Inverted
Image SizeSame

Case - 4

An object placed between the Center of Curvature (C) and Focus (F)
Fourth case of Concave Mirror ray diagrams

Result:-

Object PositionBetween Center of Curvature (C) and Focus (F)
Image PositionBeyond Center of Curvature (C)
Nature of imageReal and Inverted
Image SizeEnlarged

Case - 5

An object placed at Focus (F)
Fifth case of Concave Mirror ray diagrams

Result:-

Object PositionAt Focus (F)
Image PositionAt Infinity
Nature of imageReal and Inverted
Image SizeHighly Enlarged

Case - 6

An object placed between Focus (F) and Pole (P)
Sixth case of Concave Mirror ray diagrams

Result:-

Object PositionBetween Focus (F) and Pole (P)
Image PositionBehind Mirror
Nature of imageVirtual and Erect
Image SizeEnlarged

Let us Summarise it all

Object PositionImage PositionNature of ImageImage Size
InfinityFocus (F)Real and InvertedPoint Sized
Beyond CBetween F and CReal and InvertedSmaller
At CAt CReal and InvertedSame
Between F and CBeyond CReal and InvertedEnlarged
At FAt InfinityReal and InvertedHighly Enlarged
Between F and PBehind MirrorVirtual and ErectEnlarged

Uses of Concave Mirror

  • It's used in the torchlight, searchlight,  vehicle headlights to get a powerful parallel beam of light.
  • It's used by dentists to see a large image of teeth of patients.
  • It's used in a solar furnace as it helps to concentrate rays of sunlight at one point. It develops heat energy and later used for cooking or some other purpose as needed.
  • It's used in a shaving mirror to see a large image of our face.