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Unformatted text preview: MSE 110 Problem Set 2, Problem 1 An electron of wavelength = 0.333 nm forms a standing wave on an orbit of radius r = 0.159. What is the level n of that orbit? (8pts) [Answer in integer] Ans: From n = 2 r we obtain 3 333 . 159 . 2 2 = = = r n The electron is orbiting on the level of quantum number n=3. Problem 2 Some kids are playing jump rope with a rope of length L = 6 meter and shake it hardly enough to induce a standing wave of quantum number n=4. What is the wavelength of the induced standing wave? (8pts) [Answer in meter] Ans: 4 half-wavelength will fit along the rope to form the standing wave. Hence, m n L 3 4 6 2 2 = = = Problem 3 A guitar string of length 1 meter is banged hardly enough to induce a standing wave of quantum number n=12. What is the wavelength of the induced wave? (5pts) [Answer in meter] Ans: 12 half-wavelength will fit along the guitar string to form the standing wave. Hence, m n L 166 ....
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This homework help was uploaded on 04/06/2008 for the course MSE 100 taught by Professor Lucas during the Spring '07 term at University of Arizona- Tucson.
- Spring '07