a) Make a diagram showing how many distinct ways (how many microstates, the multiplicity) there are of putting q = 2 indistinguishable objects in N = 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? What is the correct formula for the mulitiplicity as a function of N and q? b) Make a diagram showing how many distinct ways (the multiplicity) there are of putting q = 2 distinguishable objects in N= 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? Label the two objects R and G. What is the correct formula for the mulitiplicity as a function of N and q? Below are the diagrams, started for you. Complete the diagrams. distinguishable indistinguishable RG •. !R !G

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter4: Nonlinear Oscillations And Chaos
Section: Chapter Questions
Problem 4.13P
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a) Make a diagram showing how many distinct ways (how many microstates, the
multiplicity) there are of putting q = 2 indistinguishable objects in N = 3 boxes.
Assuming that all microstates are equally probable, what is the probability that
both objects are in the left-most box? What is the correct formula for the
mulitiplicity as a function of N and q?
b) Make a diagram showing how many distinct ways (the multiplicity) there are of
putting q = 2 distinguishable objects in N= 3 boxes. Assuming that all microstates
are equally probable, what is the probability that both objects are in the left-most
box? Label the two objects R and G. What is the correct formula for the
mulitiplicity as a function of N and q?
Below are the diagrams, started for you. Complete the diagrams.
distinguishable
indistinguishable
RG
•.
!R !G
Transcribed Image Text:a) Make a diagram showing how many distinct ways (how many microstates, the multiplicity) there are of putting q = 2 indistinguishable objects in N = 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? What is the correct formula for the mulitiplicity as a function of N and q? b) Make a diagram showing how many distinct ways (the multiplicity) there are of putting q = 2 distinguishable objects in N= 3 boxes. Assuming that all microstates are equally probable, what is the probability that both objects are in the left-most box? Label the two objects R and G. What is the correct formula for the mulitiplicity as a function of N and q? Below are the diagrams, started for you. Complete the diagrams. distinguishable indistinguishable RG •. !R !G
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