fall2003exam

fall2003exam - CORNELL UNIVERSITY Department of Physics...

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Unformatted text preview: CORNELL UNIVERSITY Department of Physics Physics 214 Prelim I Fall 2003 NAME: SECTION: Instructions — To receive credit, you must place your answers in the boxes provided whenever required. — Closed book; no notes. You may use a calculator. — Check that you have all 14 pages (including cover page). The formula sheet is distributed separately. — Important note: Except for some challenge problems, each part of this exam is designed to be answered without the answers of previous parts. The parts within a given problem become more and more difficult. If you get stuck on one part, skip to the next problem and come back later if you have more time. Problem Score Grader 1. (16 pts) 2. (20 pts) 3. (24 pts) 4. (12 pts) 5. (12 pts) 6. (16 pts) Total (100 pts) Page 2 of 14 PHYS 214 Prelim 1 Contents 1 Problem 1: Standing Waves on Strings [16 points] 3 (a) Sketches (12 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 (b) Comparing frequencies (4 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2 Problem 2: Lab Experiment I [20 points] 4 (a) Speed of sound in aluminum (8 points) . . . . . . . . . . . . . . . . . . . . . . . . . 4 (b) Bulk modulus of aluminum (8 points) . . . . . . . . . . . . . . . . . . . . . . . . . . 4 (c) Spring constant of the rod (4 points) Challenge Problem! . . . . . . . . . . . . . . 5 3 Problem 3: Harmonic Oscillator with Friction [24 points] 6 (a) Equation of Motion (6 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 (b) General solution (6 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 (c) Real Part of A (4 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 (d) Imaginary Part of A (4 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 (e) Maximum distance (4 points) Challenge Problem! . . . . . . . . . . . . . . . . . . 9 4 Problem 4: Equation of transverse motion in a fluid [12 points] 10 5 Problem 5: Sound Waves versus Waves on a String [12 points] 12 (a) Equation for strings (8 points) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 (b) Another conservation law (4 points) Challenge Problem! . . . . . . . . . . . . . . 12 6 Problem 6: Generalized Boundary Conditions for a Sound Tube [16 points] 13 (a) Air Pressure and Displacement of the Piston (6 points) . . . . . . . . . . . . . . . . 13 (b) Equation of Motion for the piston (6 points) . . . . . . . . . . . . . . . . . . . . . . 14 (c) Standing wave solutions (4 points) Challenge Problem! . . . . . . . . . . . . . . . 14 List of Figures 1 Wave patterns for different boundary conditions. . . . . . . . . . . . . . . . . . . . .Wave patterns for different boundary conditions....
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fall2003exam - CORNELL UNIVERSITY Department of Physics...

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