Wednesday, February 27, 2013

Convex Lens Lab

Abstract: In this lab we measured various paradigm and object keeps that produced different pick up heights. We did so using deuce different lenses, unity with a focal length of +200mm, and one with a focal length of +100mm. Both setups included a light source at one end of an visual bench and a screen at the other. In some(prenominal) trials, we found that as distance of the object increases, the distance of the image becomes closer to the focal length of the lens. We also found that the hyperbole of each lens increases in a linear pattern.

scheme: In order to understand this lab, one must drive in the lens equation. This equation is 1/f= 1/do+ 1/di. In this, f is focal length, do is the distance from the object to the lens, and di is the distance from the lens to the image. Magnification is also important. The magnification, or the change in size from the original object to the produced image, apprize be found by using the equation hi/ho= di/do. In this hi is the height of the image, while ho is the height of the object. A diagram of these situations can be seen below.

data-based/Discussion: We first used the +200mm lens and placed it on the optics bench, in between the light source and the screen. We moved the lens forward and back so that various sized images were produced on the screen. We conducted the same procedure a second time simply instead used a +100mm lens.

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The data collected for both trials can be seen below.

+200mm
do (cm)di (cm)hi (cm)ho (cm)hi/ho (cm)do/di(cm)
81.227.3250.40.336206897
26.5821352.63.094339623
62.530.52.550.50.488
3063951.82.1
37.243.35511.163978495
8426.71.550.30.317857143
286110.552.12.178571429
25.687.914.352.863.43359375
40.639.9450.80.982758621
33.5526.551.31.552238806

+100
do(cm)di(cm)hi(cm)ho(cm)hi/ho(cm)di/do(cm)
125218.553.74.333333333
14.331.79.551.92.216783217
17.522.25511.268571429
22.517.83.550.70.791111111
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