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# Exam4Sol - Principles of Physics II PHYS 2212-160 Exam#4...

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Principles of Physics II PHYS 2212-160 Exam #4 Fall 2010 Name__ Solutions _______________ You may use the values k = 8.99x10 9 N m 2 /C 2 , ε o = 8.85x10 -12 C 2 /Nm 2 , μ o = 4 π x10 -7 N/A 2 , and e = 1.60x10 -19 C. You must show all of your work for full credit. 1. (15 points) In a Young’s Double-Slit experiment, the first dark fringe (i.e. the dark fringe next to the central bright fringe) has its center 2.25mm from the central axis when the screen is placed 3.00m from the slits. The slit spacing is 0.300mm . What is the wavelength of light used in this experiment? 2.25mm θ The angle is given by 3.00m tan θ = (2.25x10 -3 m) / (3.00m) = 7.50x10 -4 , so θ = 0.0430 o . For a double-slit dark fringe we have d sin θ = (m + ½) λ , and for the first dark fringe, m=0 , so λ = 2 d sin θ = 2 (0.300x10 -3 m) sin0.0430 o = λ = 4.50x10 -7 m . 2. (10 points) Finish the ray tracing diagram started below. The object is indicated. Draw in the three primary rays, indicate their directions, determine where the image is, draw it in and label it. Use dots for lines that are not rays.

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