1. Alex Yepez and Adam Ferguson

2. 1. Determine the relationship between object distance and image distance. 2. Determine the relationship between object distance and image height. 3. Determine the relationship between object height and image height.

3. 1. As object distance increases, image distance decreases. 2. As object distance increases, image height decreases. 3. As object height increases, image height increases.

5. Object distance Image distance Screen Lens Light Source Object height Image height Air track with distance markings

10. 1. 1/Image Distance  1/d i ; 1/Object Distance  1/d o 2. Y = mx + b 3. 1/d i = k*(1/d o ) + b 4. K = [∆ (1/d i )]/[∆ (1/d o )] 5. K = -1.021 6. B = 5.103 1/m 7. 1/d i = (-1.021)*(1/d o ) + 5.103 1/m

11. Accepted value = 1 Experimental value = magnitude of slope of graph Experimental value = 1.021 Absolute Error = |Experimental value – accepted value| Absolute Error = |1.021 – 1| Absolute Error =.021 Relative Error = Absolute error/Accepted value Relative Error =.021/1 Relative Error =.021 Relative Error = 2.1%

12. Accepted value = 1/Focal Distance Accepted value = 1/.194 m Accepted value = 5.15 1/m Experimental value = Y-intercept of graph Experimental value = 5.103 1/m Absolute Error = |Experimental value – accepted value| Absolute Error = |5.103 1/m – 5.15 1/m| Absolute Error =.047 1/m Relative Error = Absolute error/Accepted value Relative Error = (.047 1/m)/(5.15 1/m) Relative Error =.0091 Relative Error =.91 %

13. 1. The precision in measuring image height was limited by our tools and setup.

14. 1/d i = (-1.021)*(1/d o ) + 5.103 1/m 1/d i = (-1)*(1/d o ) + (1/f) 1/d i + 1/d o = 1/f

21. 1. Image Height  h i ; Object Height  h o 2. h i  h o 3. h i = k*h o 4. K = ∆h i /∆h o 5. K = 2.051 6. h i = (2.051)*h o

22. 1. Image Height  h i ; Object Height  h o 2. h i  h o 3. h i = k*h o 4. K = ∆h i /∆h o 5. K =.7847 6. h i = (.7847)*h o

23. Accepted value = f/(d o – f) Accepted value = (.194 m)/(.300 m -.194 m) Accepted value = 1.83 Experimental value = Slope of graph Experimental value = 2.051 Absolute Error = |Accepted value – Experimental value| Absolute Error = |1.83 – 2.051| Absolute Error =.221 Relative Error = Absolute error/Accepted value Relative Error =.221/1.83 Relative Error =.121 Relative Error = 12.1%

24. Accepted value = f/(d o – f) Accepted value = (.194 m)/(.500 m -.194 m) Accepted value =.634 Experimental value = Slope of graph Experimental value =.7847 Absolute Error = |Accepted value – Experimental value| Absolute Error = |.634 –.7847| Absolute Error =.1507 Relative Error = Absolute error/Accepted value Relative Error =.1507/.634 Relative Error =.238 Relative Error = 23.8%

25. h i = (.7847)*h o h i = [f/(d o – f)]*h o