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How to find sin i and sin r?

GeneralClass 12AllAnswered 27 Mar 2026
Answer

To find sin i (sine of angle of incidence) and sin r (sine of angle of refraction):

  1. Measure the angles using a protractor or calculation from experimental data
  2. Use a calculator or trigonometric tables to find the sine values
  3. Alternatively, if you know the refractive indices, use Snell's law: n₁ sin i = n₂ sin r

For example, if light travels from air (n=1) to water (n=1.33) at 30° incidence:

  • sin i = sin 30° = 0.5
  • sin r = (n₁ sin i)/n₂ = (1 × 0.5)/1.33 ≈ 0.376, so r ≈ 22°
General · Class 12