IB Physics B Lent/Easter 2022, J. Ellis 4 A system of N states. Consider a system containing N two-level systems that ca

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Ib Physics B Lent Easter 2022 J Ellis 4 A System Of N States Consider A System Containing N Two Level Systems That Ca 1 (23.42 KiB) Viewed 15 times

IB Physics B Lent/Easter 2022, J. Ellis 4 A system of N states. Consider a system containing N two-level systems that can have an energy 0 or A. Show that the number of ways S2(E) of arranging the total system to have energy E=rA (where r is an integer) is given by N! N(E) r!(N-r)! Subsequently, remove a small amount of energy sA from the system (assuming s<<r). Show that (E-) = N(E) (N-r)** Finally, show that the temperature T of the system is given by 1 N In KBT A T Sketch kBT as a function of r from r = 0 to r = N, and explain the result. **** I To the