Exam1_f11_soln

# Exam1_f11_soln - SOLUTIONS PHYS 2200 Introduction to...

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Page 1 of 6 SOLUTIONS PHYS 2200 – Introduction to Quantum Mechanics and Relativity EXAM 1 Fall Semester, 2011 Instructions: a) This exam is closed book and closed notes. b) You MUST show all of your work in order to obtain full credit on the problems. Part 1: Short Problems (12 pts each – 72 pts total) 1) ___________ 2) ___________ 3) ___________ 4) ___________ 5) ___________ 6) ___________ Part 2: Extended Problem Problem 1: _____________ (28) TOTAL: ______________

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Page 2 of 6 Quick Problems: 1) Give the two postulates of special relativity. a. The laws of physics are the same to observers in inertial reference frame. b. The speed of light must be measured as the same value by observers in inertial reference frames, regardless of the speed of the sources. 2) In a particle accelerator, a new particle called a quarkino is created. In the lab frame, the quarkino has a total energy that is 4 times its rest mass and it exists for 20 μsec. Find the speed of the particle in the lab frame and the proper lifetime of the quarkino. E = γ mc 2 = mc 2 1 u 2 c 2 = 4 mc 2 - solve for u = 4 = 1 1 u 2 c 2 u = 0.986 c = 2.90 × 10 8 m / s Δ t = Δ % t ( ) ⇒ Δ % t = Δ t / = 5 ms
Page 3 of 6 3) A fast moving space ship (u = 0.75 c) is traveling along a long straight track.

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Exam1_f11_soln - SOLUTIONS PHYS 2200 Introduction to...

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