Suppose the system in Figure 19.4 is in the macrostate in which two energy units are in the pendulum and one collision takes place.

(a) What are the accessible macrostates? 

(b) What is the probability for each of these macrostates?

Transcribed Image Text:

Number of Fraction of Number of energy units in particles basic states basic states Figure 19.4 The ways in which six energy units can be distributed among the pendulum and three particles of Figure 19.3. Distribution of six energy units among pendulum and three par- ticles; each solid-colored box corre- sponds to one of the six units of energy. The number of basic states associated with all macrostates is 84. As the number of energy units in the pendulum decreases (left), the fraction of basic states associated with that macrostate increases (right). Number of energy units in pendulum 6 5 3 4 2 3. 3 3 2 1 0 3 + 5 10 3 --- three basic states having one energy unit in one particle 1 1 84 3 6 10 10 913 84 15 15 84 3 3 3 3 9 F 3 6 3 3 === 21 21 21 84 28