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Brief Revision of the Light Chapter

May 15, 2025

Light Chapter Rapid Revision

Introduction

  • Light is a large and important chapter.
  • Challenges exist in both numerical and theory.
  • Today's goal: Revision in 15-20 minutes.
  • For detailed study, a one-shot video is available.

Characteristics of Light

  • Light always travels straight.
  • Speed: (3 \times 10^8) meters/second.

Reflection

  • Definition: Light bouncing back from a shiny surface.
  • Laws of Reflection:
    • The incident ray, reflected ray, and normal lie in the same plane.
    • Angle of incidence = Angle of reflection.

Plane Mirror

  • Image is always virtual and erect.
  • Size of image is equal to the object.
  • Image forms behind the mirror at the same distance as the object in front.
  • Image is laterally inverted.

Spherical Mirrors

  • Two types of mirrors: Concave and Convex.
  • Concave: Reflecting surface inward.
  • Convex: Reflecting surface outward.

Mirror Concepts

  • Pole: Middle point of the mirror.
  • Principal Axis: Main axis passing through the pole.
  • Center of Curvature (C): Center point of the mirror's curve.
  • Radius of Curvature (R): Distance from C to pole.
  • Focus (F): Midpoint between pole and C.
  • Focal Length (f): Distance from pole to focus.
  • Aperture: Total diameter of the reflecting surface.

Mirror Rules

  1. Parallel ray always passes through focus.
  2. Ray passing through focus will go parallel.
  3. Ray coming from the center of curvature will reflect back in the same direction.
  4. Rays hitting the pole have equal angles.

Ray Diagrams for Concave and Convex Mirrors

  • Trick: Remember with a numbering system.
  • Image location based on various positions.

Refraction

  • Bending of light when it goes from one medium to another.
  • Snell's Law: (\sin i/\sin r = \text{refractive index})

Refractive Index

  • Measures a medium's power to bend light.
  • Formula: (c/v)

Lenses

  • Concave and Convex lenses.
  • Concave: Diverging, Convex: Converging.

Lens Rules

  • Parallel ray emerges from the focus.
  • Ray coming from focus goes parallel.
  • Light passing through optical center goes straight.

Lens Ray Diagrams

  • Different cases for convex and concave lenses.

Formulas

  • Mirror Formula: (1/v + 1/u = 1/f)
  • Lens Formula: (1/v - 1/u = 1/f)
  • Magnification: (-v/u) (for mirror), (v/u) (for lens)

Power of a Lens

  • Power: Ability to converge or diverge.
  • Unit: Diopter
  • Formula: (1/f)

Homework

  • Answer the given questions in comments. Display homework questions on the screen.

This revision covers the main points of the Light chapter.