Two energy levels of an atomic system are separated by energy corresponding to frequency Hz. Assuming that all atoms are in one or the other of these two energy levels, compute the fraction of atoms in the upper energy level at temperature 400 K. Take
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To find the fraction of atoms in the upper energy level at a given temperature, we can use the Boltzmann distribution, which states that the ratio of atoms in two different energy levels is given by:
\[ \frac{N_2}{N_1} = e^{-\frac{\Delta E}{k_B T}} \]
Where:
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