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Light Calculations

This guide focuses on essential calculations involving the speed of light, angles of incidence and refraction (Θi and Θr), and the refractive indices of various materials. It covers the formulae necessary for calculating the path of light through different media using Snell's law, which states that ni*sin(Θi) = nr*sin(Θr). Additionally, it addresses practical problems related to the travel time of light over certain distances, providing a comprehensive approach to understanding ray diagrams and light behavior in physics.

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Light Calculations

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  1. Light Calculations

  2. Find the v of each of these. n = c/v

  3. Calculating Ray Diagrams ni sinΘi =nrsinΘr 1.0003 x sin35 = nr sin30 nr = 1.15 = nr 0.5 1.0003 x 0.574 0.5 0.5 ni = 1.0003 Θi ? Θr

  4. Calculating Ray Diagrams ni sinΘi =nrsinΘr * sinΘ= 0.456 1.333 x sin20 = 1.0003 sin Θ = 1.0003 sin Θ Θ= sin -1 0.456 1.333 x 0.342 1.0003 1.0003 Θi ni = 1.333 * To get Θ alone you need to multiply the opposite side by sin -1 Θ= 27.1 o nr = 1.0003 Θr

  5. Practice • How far will light travel in 12 seconds? • How long does it take light to travel 123456789 m? v = d/t d = vt t = 12s = 3.60 E9 m d = ? v = 3E8 m/s 3E8 m/s x 12s t = d/v t = ? v = 3E8 m/s = 4.12 E-1 s d = 123456789 m 123456789m / 3E8 m/s • How fast (m/s) does a beam of light travel if it takes 5 s to travel 1.50 E6 km? t = 5s v = ? v = d/t =1.50 E9 m/5 s d = 1.50 E6 km 1.50 E9 m v = 3.00 E8 m/s

  6. Θi= ? Air Glass Θr=100

  7. Θi=450 water n = ? What medium Θr=230

  8. Θi= 48.70 n = ? What medium? ice Θr= 350

  9. air Θi= 780 zircon Θr = ? θ = 30.6 O

  10. 1.0003 x sinθ = 1.52 sin10 sinθ = 0.264/1.0003 θ = 15.3 0 Θi= ? θ = sin-10.264 Air Glass Θr=100

  11. 1.333 x sin45 = n sin23 0.943/.391 = n n = 2.41 diamond Θi=450 water n = ? What medium Θr=230

  12. n x sin48.7 = 1.31sin35 n = 0.751/0.751 n = 1.00 vacuum/air Θi= 48.70 n = ? What medium? ice Θr= 350

  13. 1.0003 x sin78 = 1.923 sinθ = 0.978/1.923 = sinθ θ = sin-10.509 θ = 30.6 O air Θi= 780 zircon Θr = ? θ = 30.6 O

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