Question

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Table 1: One Lens (18 points) Object Image Image Distance Distance Height Object Distance Image Distance Image Height (cm) (cm) (cm) (cm) (cm) (cm) 100.00 17.50 15.00 14.00 80.00 70.00 50.00 30.00 20.00 10.2 103 10.4 11.40 14.00 18.20 20.2 24.5 27.0 31. 2 34.2 35.8 - 13.00 .95 7.91 9 .17 10.15 X 12.00 4.27 TL 11.50 1) Using Excel, or some other graphing program (or by hand), make a graph of Image Distance vs. Object Distance (q vs. p), then answer the following question about this graph. (10 points) 2) What value does the image distance approach as the object distance becomes larger? ( points) 3) What value does the object distance approach as the image distance becomes larger? (5 points) 4) How do the values of the answers to questions 1, and 2 relate to the lens used in part 1? (5 points) 5) What is the relationship between image distance and object distance? (Directly related or inversely related?) Give evidence supporting your answer. (5 points) 6) What is the relationship between object distance and image height? (Directly related or inversely related?) Give evidence supporting your answer. (5 points) 7) Where would you place the object to obtain an image as far away from the lens as possible? (5 points) 8) Where would you place the object to obtain an image located at the focal length of the lens (100 mm)? (5 points)

Answer 1

Here is the graph

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1)

35- 20.20 24.5 27 31.2 34.2 11.5 35.8 Linear Fit for: Data Set|Y y = mx+b m (Slope):-2.675 b (Y-Intercept): 65.82 Correlation:-0.9845 RMSE: 1.176

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2)

The image distance becomes smaller. It converges on itself until it hits zero. For object at infinite distance, the image is formed at focal point

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3) as image distance becomes larger, the object distance starts decreasing. For images at infinity, the object is at focal point of lens

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4) part 1 ????? missing information ??

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5) The relationship of the image and object distance inversely related. If object distance decreases, then the image distance will increase and vice versa.

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6) relationship between image and object size depends on magnification. If it is less than 1 , the image is smaller and if it is more than 1, image will be larger.

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7) at the focal point . When we place object at focal point, we get image at infinity

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8)

To obtain image at focal length of lens, the object must be placed far from the lens.

1/f = 1/p + 1/q

so, for very far object , p = infinity and 1/infinity = 0

so,

q = f