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Optics: Converging Lenses Experiment

Optics: Converging Lenses Experiment. J Heezy. Image Distance vs. Object Distance. Purpose: find relationship between image distance and object distance (Di vs. Do)

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Optics: Converging Lenses Experiment

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  1. Optics: Converging Lenses Experiment J Heezy

  2. Image Distance vs. Object Distance • Purpose: find relationship between image distance and object distance (Di vs. Do) • Procedure: Started light source (object) 15 focal lengths away from lens and found focused image with screen, moved object closer to lens (decreased Do) and found corresponding Di that presented a focused image on the screen

  3. Materials • Track • Light Source • Meterstick • Converging Lens • Screen/Location for Image Formation • Distant powerline

  4. Data

  5. Type 1 analysis

  6. Type 1 analysis

  7. Type 1 analysis linearized

  8. Mathematical analysis do = object distance, di = image distance, xo = adjusted object distance, xi = adj image distance y∝1/x xi = k/xo k = 0.03574m^2 (per LoggerPro) k = f2 (0.202m)2 = 0.0408 Model: xi = f2/xo And to make the model more useful: di-f = f2/(do-f) dido - dif - dof - f2 = f2 dido = dif + dof 1 = f/do + f/di Model = 1/f = 1/do + 1/di

  9. Type 2 analysis

  10. Type 2 analysis

  11. Type 2 analysis

  12. Mathematical analysis do = object distance, di = image distance y=mx +b 1/di=k*(1/do)+b k = -1.001 (per LoggerPro) b = 5.054 1/m (per LoggerPro) b=1/f (f=0.202 m) Model: 1/f = 1/di + 1/do

  13. Image Height vs. Object Distance • Purpose: Find a relationship between image height and object distance (Hi vs. Do) • Procedure: Started light source (object) 15 focal lengths away from lens and found focused image with screen, moved object closer to lens (decreased Do) and found corresponding Hi that presented a focused image on the screen

  14. Materials • Track • Light Source • Meterstick • Converging Lens • Screen/Location for Image Formation • Distant powerline

  15. Data

  16. Type 1 analysis

  17. Type 1 analysis

  18. Type 1 analysis

  19. Mathematical Analysis do = object distance, hi = image height, xo = adjusted object distance y∝1/x hi = k/xo k = 0.03574 (per LoggerPro) k = f2 (0.202m)2 = 0.0408 Model: hi = f2/xo And to make the model more useful: hi = f2/(do-f)

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