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Lenses — Class 10 Maharashtra SSC Science revision notes

A 4-page visual revision sheet for Lenses, written for Class 10 Maharashtra SSC Science. Formulas, diagrams and the traps that cost marks, laid out to be read the night before rather than the term before. Free, and it opens inside CapCompass.

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Lenses in one look

converging and diverging, one formula for both, and the sign convention that makes it work

The two kinds of lens

  • a convex lens is thicker in the middle and converges parallel rays to a point
  • a concave lens is thinner in the middle and diverges them, so they only appear to come from a point
  • the principal focus F is where parallel rays meet, or seem to meet, after passing through
  • the focal length f is the distance from the optical centre to that focus
  • a lens has two foci, one on each side, since light may arrive from either direction
  • the centre of curvature is at 2F, and it is the point that fixes the special image positions

The three rays that locate an image

  • a ray arriving parallel to the principal axis leaves through the focus on the far side
  • a ray passing through the optical centre goes straight on undeviated, which is usually the easiest one to draw
  • a ray passing through the focus on the near side leaves parallel to the axis
  • any two of the three are enough to fix the image, and the third is a check
  • where the rays actually meet, the image is real and can be caught on a screen
  • where only their backward extensions meet, the image is virtual and cannot be projected

The formulas, and the sign convention

  • the lens formula 1/v - 1/u = 1/f
  • magnification from distances m = v/u
  • magnification from sizes m = h_i/h_o
  • power of a lens, f in metres P = 1/f
  • lenses in contact, powers add P = P_1 + P_2

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