Final Exam - PHYS 212 Comprehensive Final Exam May 8,2006...

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PHYS 212 Comprehensive Final Exam May 8,2006 Name U.,Q~ Problem Ses on: Hr - Instr Comp Lab Show all work for full credit! Answers must have correct units and appropriate number of significant digits. For all the problems (except for multiple choice questions), start with some combination of (a) a fundamental equation (b) a sentence explaining your approach; or (c) a sketch. 1. (5 pts) Recall that the messenger particle for the electromagnetic(EM) interaction is the photon whose mass is zero, while the messengers for the weak interaction (W' and W') have a mass of 86 ~e~lc~. Assume that a new force, called the "Bob force" is discovered, with a messenger particle whose mass is 5000 GeVl c2. Which of tte following statements about the range of the Bob force is true? (Circle one.) (a) The range of the Bob force is greater than both the range of the EM force and the range of the weak force. he range of the Bob force is less than both the range of the EM force and the range of weak force. (c) The range of the Bob force is greater than the range of the EM force and less than the range of the weak force. (d) The range of the Bob force is less than the range of the EM force and greater than the. range of the weak force. (e) There is not enough information given to determine the range of the Bob force.
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2. (5 pts) A rectangular loop of wire is pulled with constant velocity through the illustrated region of uniform magnetic field. Which graph best represents the induced current around the loop as a function of time? (Take counter-clockwise current as positive.) Circle one answer. emf; emf; I I i l\ emf; emf: --------------- I I I I I I I/i t ----- ------ t ---------------- /T I I I I I I 0 I . . I 1 I I I I
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3. (8 pts) Use the conservation laws to determine a possible identity of the missing particle in the indicated strong interaction. (It is not necessary to give a reaction diagram.) 4. (12 pts) Sound waves of wavelength 12 meters are being emitted in phase by two identical sources, S1 at (-4 m, 3 m). and S2 at the origin. A receiver R (4 3 m) detects the sound waves. Is the receiver at a location of an intensity maximum, a minimum, or neither? SHOW ALL WORK.
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5. (8 pts) In the box below, state and explain one property of quantum mechanical spin that simply cannot be explained classically. 6. (10 pts) Consider an electron confined in the illustrated potential with the wavefunction U(X) shown. Calculate the total energy E of the electron. Express your answer in terms of the U2 constants Ul, U2, a, and fundamental constants.
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7.
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Final Exam - PHYS 212 Comprehensive Final Exam May 8,2006...

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