Consider a system of three simple harmonic oscillators that share four quanta of

Question

Consider a system of three simple harmonic oscillators that share four quanta of energy.

Calculate the total entropy s of this system.

(a) s = 1.39
(b) s = 1.79
(c) s = 2.71
(d) s = 3.17
(e) s = 15.0




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QUESTION 20*
Calculate the probability P that any one of the oscillators has all of the energy.
(a) P = 0.042
(b) P = 0.20
(c) P = 0.25
(d) P = 0.33
(e) P = 0.37




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QUESTION 21**
Why do two systems in equilibrium have the same temperature?
(a) The entropy is minimum when the temperatures are equal.
(b) The energy is minimum when the temperatures are equal.
(c) If energy were to flow from one to the other, the number of microstates would decrease.

Explanation / Answer

(a) s = 1.39 (b) P = 0.20 (b) The energy is minimum when the temperatures are equal.

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