Number of Photons

Classical Mechanics Level 3

Determine the order of magnitude of the number of photons in a 1 m 3 1 {m}^{3} container when the photons are in equilibrium at temperature T = 4000 K T = 4000 K .


The answer is 18.

Steven Zheng by Steven Zheng , 26, China

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1 solution

Jake Lai
Dec 12, 2014

For a photon gas of volume V V and temperature T T , N = 16 π ζ ( 3 ) k 3 V T 3 / c 3 h 3 N = 16 \pi \zeta(3)k^{3} VT^{3} / c^{3}h^{3} Plug and chug.

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