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What are the two formulas of refractive index?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

The two main formulas for calculating refractive index are:

  1. Speed-based formula: n = c/v (ratio of light speed in vacuum to light speed in the medium)
  2. Snell's Law formula: n₁ sin θ₁ = n₂ sin θ₂, which can be rearranged to find the relative refractive index: n₂₁ = n₂/n₁ = sin θ₁/sin θ₂

For a single medium relative to air/vacuum: n = sin i/sin r (where i is the angle of incidence and r is the angle of refraction)

General · Class 12