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Concave and Convex Mirrors

Curved mirrors, focus and the mirror formula.

Spherical mirrors are pieces of a hollow or bulging sphere. The centre of that sphere is the centre of curvature C, and the focus F lies halfway between C and the pole P of the mirror on the principal axis.

Fconcave mirrorabcofelectronics
Original diagram: concave and convex mirrors

A concave mirror brings parallel rays together at a real focus and can magnify a close object. A convex mirror always spreads rays apart and gives a smaller, upright, virtual image, which is why it is used where a wide field of view matters.

  • Focal length is half the radius of curvature: f = R/2.
  • Concave mirrors converge light and can form real or virtual images.
  • Convex mirrors diverge light and form only virtual, diminished images.
KEY IDEA
1/v + 1/u = 1/f (use one consistent sign convention).

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