1. Introduction to Ray Optics:

• Define ray optics.
• Key terms: reflection, refraction, optical instruments.

2. Refraction of Light:

• Snell’s Law: n₁sinθ₁ = n₂sinθ₂
• Critical Angle: θc = arcsin(n₂/n₁) for total internal reflection.
• Deviation by a Prism: ΔA = (A₁ + A₂ - A₃ - A₄)

3. Optical Instruments:

• Mirror Formula: 1/f = 1/v + 1/u (for mirrors).
• Lens Formula: 1/f = 1/v - 1/u (for lenses).
• Lensmaker’s Formula: 1/f = (n - 1) [(1/R₁) - (1/R₂)] for thin lenses.
• Magnification (m) = -v/u = h₂/h₁
• Power of a Lens: P = 1/f (in diopters, D).

4. Image Formation:

• Characteristics of Images:
  • Real vs. Virtual
  • Upright vs. Inverted
  • Enlarged vs. Reduced
• Image Positions:
  • For mirrors:
    • At 2f: Real, inverted, same size.
    • Between f and 2f: Real, inverted, enlarged.
    • Beyond 2f: Real, inverted, reduced.
  • For lenses: Use lens formula to calculate image positions.

5. Sign Conventions:

• Conventions for measuring distances and angles in ray optics.
• Positive and negative values for object and image distances, focal lengths, and radii of curvature.

6. Total Internal Reflection:

• Occurs when light travels from a denser to a rarer medium at an angle of incidence greater than the critical angle.
• Critical angle: θc = arcsin(n₂/n₁).

7. Lens Combinations:

• For lenses in contact, use the formula: 1/f = 1/f₁ + 1/f₂.

8. Optical Instruments:

• Microscope: Magnifying power = V₁ * V₂.
• Telescope: Magnifying power = (1 + D/f₁)(1 + D/f₂) - (D/f₁f₂).

9. Lens Aberrations:

• Spherical aberration, chromatic aberration, and their impact on image quality.

10. Important Constants: - Refractive indices of common materials (e.g., air, glass, water).

11. Tips for Problem Solving: - Shortcut methods for solving common problems. - Strategies for drawing ray diagrams efficiently.

12. Previous Year JEE Problems: - A list of select problems from previous JEE exams related to these topics, along with solutions.

13. Additional Resources: - Recommendations for textbooks or online resources for further study and practice.