Optics

Reflection, refraction, lenses, wave optics, diffraction

Key Concepts
  • Reflection: angle of incidence = angle of reflection
  • Snell's law: n₁ sinθ₁ = n₂ sinθ₂; TIR occurs when θ > critical angle
  • Lens formula and mirror formula use same sign convention
  • Young's double slit: interference pattern with bright and dark fringes
  • Diffraction: bending of waves around obstacles; single slit produces central maximum
Important Formulae
Mirror/lens formula 1/f = 1/v − 1/u
Magnification (mirror) m = −v/u
Snell's law n₁ sinθ₁ = n₂ sinθ₂
Critical angle sin C = 1/n (n = refractive index)
Fringe width (YDSE) β = λD/d
Lens maker's formula 1/f = (n−1)(1/R₁ − 1/R₂)
Quick Tips
  • New Cartesian sign convention: distances measured from pole; along incident ray = positive.
  • Power of lens P = 1/f (in metres); unit = dioptre. Lenses in contact: P = P₁ + P₂.
  • In YDSE: path difference = nλ for bright fringe; (2n−1)λ/2 for dark fringe.
Practice Questions

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