Complex analysis

Consider a system of two non-interacting classical particles which can occupy any of the three energy levels with energy values E =0,e and 2e having degeneracies g(E)=1,2 and 4 respectively. The mean energy of the system is (A) (B) 4 expl %/k„T + 8exp( - L8 k,T) 2еxр( -%k„T)+8exр| -28/k,т) 1+2 exp 6k,T) + 4 exp -28 1+2exp %K„T) )+4exр -28 /k,T (C) (D) 2exp( -%k„T +4еxр( - 2% /k,7) exp(-%/k,7) )+2ехр( - 2%/,т) 1+2exp| %/k,T, + 4exp 1+exp - %k,7 ) + exр( -28, k,T)

Options:

• (A) 4 exp + 8 exp - 28 k „T ) 1 + 2 exp + 4 exp - 28 k.T)
• (C)
• (B)
• (D) 2exp| -%k,I + 8 expl 1+2 exp - 28 k,T 2 exp - & kg] + 4 exp exp + 2 exp - 28/ 1+ 2exp + 4 exp - 26 k,T) 1 + exp -%k,T) + exp - L8