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Experiment 12: Focal Length and Magnification of a Thin Lens Model No. OS-8515C Table 12.1: Image and Object Distances Distance from light source to 1/d 1/d; Image Size Object Size screen do 8%. 5 CM 11.5 cm 6 . 0113 cm Q . 0969 cm| 0-50m ucm 100 cm 13 cm 45 cm 0. 07 69 cm 0 . 0272 cm/ 14 cm 7:8 cm 12 cm 10. 0128 cm /0 . 0833 cm 90 cm 11 . 7 cm 78 - 40 0 . 0 8 8 5 5 0 . 0127 2 m 67.8 0m / 12 . 2 0m 0 . 014 7 cho . 0819 am 80 cm 12 cm 68 cm 0. 0833 (m/ 0 . 01 47 / 12 57. 5 cm 12 - 5 cm/ 0 - 0174 (me . 0 8 cm 70 cm 12.4 Cr 57-6 CM|0 . 0906 (2 0. 0174 im 13 cm 10 -213 com /0 . 0769 cm 60 cm 12.8 cm / 47.2 cm|0. 0781 cm/0.0 212 cm 36.5 cm / 14 .5 cm/0. 0274 cm /0 . 0689 cm 50 cm 36 cm 10 . 0714 cm/ 0 . 0279 on 3. For each intercept, calculate a value of f and record it in Table 12.2. 4. Find the percent difference between these two values of fand record them in Table 12.2. 5. Average these two values of f. Find the percent difference between this average and the focal length that you found in Part I. Record these data in Table 12.2. Table 12.2: Focal Length f Result from x-intercept Result from y-intercept % difference between results from intercepts Average of results from intercepts Result from Part I % difference between Average of results from intercepts and result from Part I Analysis Part B: Magnification 1. For the first two data points only (the first two lines of Table 12.2), use the image and object distances to calculate the magnification, M, at each position of the lens. Record the results in Table 12.3. (eq. 12.2) M = PASCO 35 Basic Optics System Experiment 12: Focal Length and Magnification of a Thin Lens 2. Calculate the absolute value of M (for each of the two lens positions) using your measurements of the image size and object size. Record the results in Table 12.3. (eq. 12.3) IM = image size object size 3. Calculate the percent differences between the absolute values of M found using the two methods. Record the results in Table 12.3 Table 12.3: Magnification M calculated from image and object distances Point 1 Point 2 IM) calculated from image and object sizes % difference Questions 1. Is the image formed by the lens upright or inverted? 2. Is the image real or virtual? How do you know? 3. Explain why, for a given screen-to-object distance, there are two lens positions where a clear image forms. 4. By looking at the image, how can you tell that the magnification is negative? 5. You made three separate determinations of f (by measuring it directly with a dis- tant object, from the x-intercept of your graph, and from the y-intercept). Where these three values equal? If they were not, what might account for the variation