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MCQAdvancedLight, Radiation & Spectroscopy

USAAAO — 2021 First Round

Question 4

The photon number density of a blackbody depends on temperature as n_d = a (k_B T / ħc)^n, where k_B is the Boltzmann constant, ħ is the reduced Planck's constant, c is the speed of light, T is the blackbody temperature, and a is a dimensionless numerical constant. What is the value of n?

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Source

USAAAO 2021 First Round. Question text, choices, and answer were transcribed from the official USAAAO exam and solutions PDFs.