How Does Changing Energy and Oscillators Affect \(\Omega\) in Thermal Physics?

nahanksh
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Homework Statement


Consider a collection of 100 oscillators, each with an average of 10 quanta.
a) By what factor would \Omega(microstate) change if the total energy were increased by a factor of 2?
b) By what factor would \Omega change if one more oscillator were added to the original system without changing the total energy?


Homework Equations





The Attempt at a Solution


I tried to use (q+N-1)!/(N-1)!q! but it doesn't work...

The answer for a) is '2^99' and for b is 'a factor of 11'

Could someone help me out here?

Thanks a lot !
 
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I have just tried to substituted the value into the equation and it seems the answer is approximately correct a) 2^96.6 b) 10.9 (with N=100, q=1000).
Maybe I misinterpret the question.
 

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