Slide 1

Alex Yepez and Adam Ferguson Slide 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. Slide 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. Slide 4 Slide 5 Object distance Image distance Screen Lens Light Source Object height Image height Air track with distance markings Slide 6 Slide 7 Slide 8 Slide 9 Slide 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 Slide 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% Slide 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 % Slide 13 1. The precision in measuring image height was limited by our tools and setup. Slide 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 Slide 15 Slide 16 Slide 17 Slide 18 Slide 19 Slide 20 Slide 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 Slide 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 Slide 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% Slide 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% Slide 25 h i = (.7847)*h o h i = [f/(d o f)]*h o Slide 26