System A is composed of two harmonic oscillators 1,2 each of natural frequency 0 and each having permissible energies ( 1 2) 0, where = 0,1,2, ... and is Planck's constant divided by 2. The total energy of the system is = 0, where is a known positive integer with a fixed value. How many microstates A are available to the system and what is the entropy of the system ? b. System B is also composed of two harmonic oscillators, each of natural frequency 20. The total energy of this system is = 0, where is another known positive integer, but different from . Calculate B and for this system. c. What is the entropy of the system composed of the two preceding subsystems (separated and enclosed by a totally restrictive wall)? Express the entropy of the composite system as a function of and . Note: You do not need any knowledge of quantum mechanics to solve this problem. It is all about being able to count the number of microstates in each case