Experiment 7: Converging Lens-Image and Object Relationships EQUIPMENT NEEDED: -

Question

Experiment 7: Converging Lens-Image and Object Relationships EQUIPMENT NEEDED: -Optics Bench -75 mm Focal Length Convex Lens -Light Source -Component Holders (3) -Crossed Arrow Target -Viewing Screen. Viewing Screen Figure 7.1: Equipment Setup Introduction Given a lens of any shape and index of refraction, you could determine the shape and location of the images it forms based only on the Law of Refraction. You need only apply the law along with some of the ray tracing techniques you have already used. However, for spherical lenses (and for spherical mimors as well), there is a more general equation that can be used to determine the location and magnification of an image. This equation is called the Fundamental Lens equation: 33 mm where fis the focal length of the lens, and d, and d are the distance from the mirror to the image and object respectively (see Figure 7.1) The magnification of the image is given by the equation: In this experiment, you will have an opportunity to test and apply these equations. NOTE: Instead of the above equation, you may have leamed the Fundamental Lens Equation as S.S -f.where S. and S are the distances between the principle focus of the lens and the object and image, respectively. so, notice that S. d. fand S d f(see Figure 7.1) Using these equalities, convince yourself that l/d. ild 1/fand S.Si-f are different expressions of the same relationship. Procedure set up the equipment as shown in Figure 7.1. Tum on the Light Source and slide the lens toward or away from the Crossed Amow Target, as needed to focus the image of the Target onto the Viewing Screen. D Is the image magnified or reduced? 2 Is the image inverted? Based on the Fundamental Lens Equation, what would happen to d if you increased d even

Explanation / Answer

a) image is reduced.

b) Yes, it is inverted.

c) di will decrease, as the object will come towards focus.

d) di will equal to f. The object will come towards focus.

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