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Lenses

Comprehensive notes, formulas, and practice questions for Lenses.

Lenses

Lenses

What you'll learn

  • Convex (converging) and concave (diverging) lenses.
  • How lenses bend light and form images (introductory).
  • Uses: magnifying glass, spectacles, cameras, telescopes.
  • Difference between lens and mirror image formation.

Key concepts

  1. Convex lens — thicker at middle; converges parallel rays to real focus.
  2. Concave lens — thinner at middle; diverges rays; focus is virtual.
  3. Optical centre — ray through centre passes undeviated (approx.).
  4. Magnifying glass — convex lens for object within focal length → erect magnified virtual image.
  5. Diagram (text) — parallel rays through convex lens meet at F on principal axis.
  6. Real world — reading glasses (convex for hypermetropia), peepholes sometimes use concave lens.

Worked example

Using convex lens as magnifying glass

Step 1 — Hold lens close to small print (object within focal length).
Step 2 — Look through lens — erect, enlarged virtual image.
Step 3 — Move lens away — image changes size and may invert when object beyond F.
Step 4 — NCERT: convex lens converges light; concave diverges.

Common mistakes

  • Calling all lenses magnifying (concave often reduces image size).
  • Misconception: convex lens always forms real image (close object → virtual).
  • Confusing focus of lens with centre of lens.
  • Mixing lens and mirror ray diagrams.

Quick check

  • Difference between convex and concave lens.
  • Which lens is used as magnifying glass?
  • What happens to parallel rays after convex lens?

Open the Practice tab for graded questions on Lenses.

Key Takeaways (TL;DR)

  • What you'll learn
  • Key concepts
  • Worked example
  • Common mistakes

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