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Homework Help: Finding the number of objects in a microstate

  1. Nov 23, 2008 #1
    1. The problem statement, all variables and given/known data
    Consider an object containing 9 one-dimensional oscillators (this object could represent a model of 3 atoms in an Einstein solid). There are 4 quanta of vibrational energy in the object.
    (a) How many microstates are there, all with the same energy?

    (b) If you examined a collection of 50000 objects of this kind, each containing 4 quanta of energy, about how many of these objects would you expect to find in the microstate 000000004?



    2. Relevant equations
    number of microstates = (number of quanta + number of oscillators -1)!/(number of quanta!*(number of oscillators-1)!


    3. The attempt at a solution
    I got part a, (4+9-1)!/(4!*(9-1)!)=495 microstates, that was simple. I dont understand how i can find the number of objects in a certain microstate.
    I know the answer is 101, but im just curious as to how that is the answer
     
  2. jcsd
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