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[QUE/SM-08004] SM-PROBLEM

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Show that the number of photons in a cavity at temperature $T$ and having a unit volume is
$$ N\,=\, j \left(\frac{kT}{\hbar c}\right)^3 $$
where $j$ is a numerical constant.

Use the above result to show that the specific heat of a photon gas in proportional to $T^3$

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