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Light Calculations

Light Calculations. Find the v of each of these. n = c/v. Calculating Ray Diagrams. n i sin Θ i =n r sin Θ r. 1.0003. x sin35. = n r sin30. n r = 1.15. = n r 0.5. 1.0003. x 0.574. 0.5. 0.5. n i =. 1.0003. Θ i. ?. Θ r. Calculating Ray Diagrams.

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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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