Linear magnification of a mirror is -v/u and in the lens, it is v/u

linear magnification of a mirror is -v/u and in the lens, it is v/u. why is negative in the mirror and positive in the lens. explain in detail

Real Images

  • Real Image is an image which can be projected onto a screen.
  • Real images are always located in front of the mirror and behind the lens.
  • Real images are always inverted and never upright.
  • Concave lenses, Convex mirrors and plane mirrors always form virtual images and can never form real images.

Virtual Images

  • Virtual Image is an image which cannot be projected onto a screen.
  • Virtual images are always located in behind the mirror and in front of the lens.
  • Virtual images are always upright and never inverted.

Linear magnification:

  • Also known as lateral or transverse magnification is the ratio of image length to object length measured in planes that are perpendicular to the optical axis.

Magnified image for mirror:

  • The image length in the formula of ‘m’ for mirror is taken as negative because, the image distances i.e ‘v’ are always negative for virtual images .
  • As the magnified image from a mirror is a virtual image, ‘v’ is taken as negative and that is why the formula of ‘m’ for mirror becomes, -v/u.

Magnified image for lens:

  • As the magnified image from the lens is real image, the image distance ‘v’ is taken positive and the formula of magnification ‘m’ becomes ‘v/u’.
  • However, in certain cases which involve more than one lens, the object distance can be negative.