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Light

Jun 12, 2025

Overview

This lecture explains the entire chapter "Light," including the principles and numericals of reflection, refraction, mirrors, and lenses.

Basic Principles of Light

  • The speed of light in vacuum/air is 3 ├Ч 10^8 m/s.
  • When light hits a surface and bounces back, it is called reflection.
  • There are two laws of reflection: all rays and the normal lie in the same plane; angle of incidence = angle of reflection.

Mirrors and Their Characteristics

  • In a plane mirror, the image is virtual, erect, and laterally inverted.
  • The size of the image is equal to the object; the distance is also equal.
  • Curved mirrors are of two typesтАФconcave (cave-like) and convex (bulging).

Rules for Ray Diagrams of Mirrors

  • Parallel rays pass through the focus.
  • Rays passing through the center of curvature return along the same path.
  • Rays passing through the focus become parallel.
  • Rays hitting the pole reflect according to the laws of reflection.

Image Formation Cases of Mirrors

  • Concave mirror: the size, type, and location of the image change with the object's position.
  • Convex mirror: the image is always virtual, erect, and smaller.

Lenses and Their Diagrams

  • Convex lens (converging): image can be real/virtual and size depends on the object's position.
  • Concave lens (diverging): image is always virtual, erect, and smaller.
  • Lens diagram rules: parallel rayтАФthrough focus, ray through focusтАФparallel, ray through optical centerтАФstraight.

Refraction of Light

  • Refraction: when light passes from one medium to another and bends.
  • Snell's law: sin i/sin r = ╬╝ (ratio of refractive indices).
  • When going from rarer to denser medium, the ray bends toward the normal; from denser to rarer, away from the normal.

Refractive Index and Numericals

  • ╬╝ = speed of light in air/speed of light in medium.
  • ╬╝ has no unit; the higher the ╬╝, the denser the medium.

Sign Convention and Formulas

  • Left-side values negative, right positive, up positive, down negative.
  • Mirror formula: 1/v + 1/u = 1/f ; Lens formula: 1/v - 1/u = 1/f.
  • Magnification: mirror: -v/u; lens: v/u; +m virtual/erect, -m real/inverted.

Utility and Related Questions

  • Concave mirrorтАФheadlights, torch, dentist; convexтАФrear view mirror.
  • Convex lensтАФmagnifying glass, glasses, camera; concave lensтАФspyhole, glasses, etc.

Key Terms & Definitions

  • Reflection тАФ light bouncing back from a surface.
  • Refraction тАФ bending of light when changing medium.
  • Refractive Index (╬╝) тАФ the ability of a medium to bend light.
  • Focal Length (f) тАФ distance from pole to focus.
  • Magnification (m) тАФ height of image/height of object.
  • Virtual Image тАФ an image that cannot be formed on a screen in the real world.

Action Items / Next Steps

  • Homework: Comment on types of mirrors with +3 magnification and object positions.
  • Next chapter: ReproductionтАФturn on notifications, save the class link.
  • Practice main formulas and ray diagrams.