Practice Micro-to-Macroscopic Behavior - CSIR-UGC NET Offered by Unacademy

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Micro-to-Macroscopic Behavior

Quick practice

Question 1 of 5

For a system of two bosons each of which can occupy any at the two energy levels 0 and ∈ the mean energy of the system at temperature T with $\beta=1 / \mathrm{K}_{\mathrm{B}} \mathrm{T}$ is given by

A

$\frac{ e ^{-\beta \in}+2 \in e ^{-2 \beta \epsilon}}{1+ e ^{-\beta \epsilon}+ e ^{-2 \beta \epsilon}}$

B

$\frac{\epsilon e^{-\beta \epsilon}+2 \epsilon e^{-\beta \epsilon}}{1+2 e^{-\beta \epsilon}+e^{-\beta \epsilon}}$

C

$\frac{1+\epsilon e^{-\beta \epsilon}}{2 e^{-\beta \epsilon}+e^{-2 \beta \epsilon}}$

D

$\frac{2 \in e ^{-\beta \epsilon}+\epsilon e ^{-2 \beta \epsilon}}{1+ e ^{-\beta \epsilon}+ e ^{-\beta \epsilon}}$