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Light – Reflection and Refraction Notes

Questions

6 questions on average per paper

Difficulty

Medium-Hard

Importance

Core — never skip

Overview

Light: Reflection and Refraction is a fundamental physics module that explores the behavior of light as it interacts with surfaces and media. Mastery of sign conventions, ray tracing, and numerical problem-solving is essential, as this topic consistently accounts for high-weightage questions in board and competitive exams.

Spherical Mirrors and Reflection

Spherical mirrors rely on the law of reflection and the geometric properties of concave and convex curvatures. Understanding the formation of images at specific focal lengths is crucial for solving conceptual MCQ and ray diagram questions.

  • Law of Reflection: Angle of incidence equals angle of reflection.
  • Concave Mirror: Forms both real/inverted and virtual/erect images.
  • Convex Mirror: Always forms diminished, virtual, and erect images.
  • Relationship: Focal length (f) is half the radius of curvature (R), f = R/2.
  • Mirror Formula: 1/v + 1/u = 1/f.

Refraction and Snell's Law

Refraction occurs when light bends while passing between media of different optical densities, governed by Snell's Law. It is the core principle behind lens behavior, optical instruments, and the apparent depth of objects.

  • Snell's Law: sin(i)/sin(r) = constant (Refractive Index).
  • Absolute Refractive Index: n = c/v, where c is light speed in vacuum.
  • Light bends towards normal when moving from rarer to denser medium.
  • Lateral displacement increases with thickness of the glass slab.
  • Refractive Index of medium 2 w.r.t medium 1 is n2/n1.

Spherical Lenses

Lenses use refraction to converge or diverge light rays to form images. Success in this section requires applying the correct sign convention based on whether the lens is convex or concave.

  • Convex Lens: Converging lens, creates real or virtual images.
  • Concave Lens: Diverging lens, always creates virtual, erect, and diminished images.
  • Lens Formula: 1/v - 1/u = 1/f.
  • Magnification (m): Ratio of image height to object height (h'/h = v/u).
  • Power of a Lens: P = 1/f (in meters), measured in Diopters (D).

Formula Sheet

Mirror Formula: 1/f = 1/v + 1/u

Lens Formula: 1/f = 1/v - 1/u

Magnification: m = h'/h = -v/u (mirrors)

Magnification: m = h'/h = v/u (lenses)

Power of Lens: P = 1/f (meters)

Snell's Law: n1 * sin(i) = n2 * sin(r)

Focal Length Relation: f = R/2

Exam Tip

Always draw a rough ray diagram before solving any numerical to cross-check if your calculated image distance (v) and magnification sign align with your expectations.

Common Mistakes

  • Mixing up sign conventions: Failing to use negative signs for distances in front of mirrors or lenses.
  • Units inconsistency: Using focal lengths in cm when the Power (P) formula requires meters.
  • Confusing magnification signs: Forgetting that 'm' is negative for real images and positive for virtual images.

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