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# FinalExam-practice-2010s-answers - PHYS 172 Spring 2010...

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1 PHYS 172 Spring 2010 Final exam practice (With answers) 1. The final exam will have 20 multiple choice questions and therefore cannot and does not cover everything that was presented in the course. While the practice exam difficulty level is similar to the real final exam, the material covered in each of the exams does not necessarily coincide. For example, there is no problem on collision in practice exam, but such a problem may appear in final exam since respective material was covered in the lectures. 2. You are expected to make your own equation sheet: two sided letter size page is the limit. There is no limit on what and how you write on that page.

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2 Problem 1. A penny that is initially at room temperature (20 C) is dropped into a thermos with coffee that is initially heated to 90 C. Assuming that coffee and the penny in thermos form a closed system, what happens with the entropy in the process of equilibration? A) The total entropy of the system increases B) The total entropy of the system decreases C) The entropy of a penny increases, entropy of coffee decreases, and the total entropy of the system stays constant. D) The entropy of a penny decreases, entropy of coffee increases, and the total entropy of the system stays constant. E) The entropies of both penny and coffee increases, and so does the total entropy. Problem 2 Consider a system of 8 one-dimensional harmonic oscillators. Initially this system has 3 quanta of energy. By how much does the entropy change if you add one more quantum of energy? ( ) ( ) 1 ! ! 1 ! q N q N + - Ω = - ln S k Ω
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