Final Exam Problems - General Physics Calculus III | PH 113, Exams of Physics

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Department of Physics, UAH Dr. Lior Burko Spring, 2009 Print your name PH 113 - Final Exam This exam includes three problems. Answer all three. Full credit will be given only for detailed and explained solutions! Do not bloviate! A succinct answer to the point will endow you with more credit than a verbose one. Each problem is worth 33 points. Another point is given for printing your name. Problem 1: Matter waves A beam of electrons moves with velocity of v=1,440 m/s perpendicular to the plane of a double-slit system. The individual slit widths is d=0.030mm and the slit separation is a=0.18mm. A screen sensitive to individual electrons is placed at a distance of x=62.5mm behind the double-slit system. 1. What is the de Broglie wavelength of the electrons? 2. What is the closest distance to the central axis of the experiment (on the screen) that no electron ever gets to? Explain your reasoning! 3. After many electrons go through the experiment, what pattern is shown on the screen? Explain your reasoning! Sketch the pattern. Make sure to quantify major properties of the pattern! (Note: Incomplete features or missing quantitative features would results in loss of points! Make your plot as complete as you can! Indicate quantifiable quantities on the sketch, e.g., relative intensities, location of features such as minima, extrema, etc.)