Rayleigh–Jeans law - Pacific Northwest

Question

This law can be derived by using the equipartition theorem to determine the number of half-wave cycles that can fit within an arbitrary volume. For 10 points each:

[10h] Name this law that predicts a radio spectral index of 2 in the long-wavelength regime. This law can be used to approximate the brightness temperature as inversely proportional to the square of frequency.

ANSWER: Rayleigh–Jeans law

[10e] The “ultraviolet catastrophe” predicted by the Rayleigh–Jeans law was fixed by this law of blackbody radiation that also demonstrated that the energy emitted by a blackbody is quantized.

ANSWER: Planck’s law

[10m] The Rayleigh–Jeans law holds when the energy quantum is smaller than this expression. The equipartition theorem states that each degree of freedom contributes one-half of this expression.

ANSWER: kT [or k-sub-B T; or k times T; or k-sub-B times T; or the product of Boltzmann’s constant and temperature; accept one over thermodynamic beta; accept inverse of thermodynamic beta; reject “thermodynamic beta”]

Back to bonuses

Summary


California	2025-02-01	Y	3	13.33	67%	33%	33%
Great Lakes	2025-02-01	Y	5	4.00	40%	0%	0%
Lower Mid-Atlantic	2025-02-01	Y	6	5.00	33%	17%	0%
Midwest	2025-02-01	Y	6	15.00	50%	50%	50%
North	2025-02-01	Y	3	10.00	67%	33%	0%
Overflow	2025-02-01	Y	5	16.00	80%	60%	20%
Pacific Northwest	2025-02-01	Y	2	10.00	50%	0%	50%
South Central	2025-02-01	Y	2	20.00	100%	100%	0%
Southeast	2025-02-01	Y	4	10.00	50%	25%	25%
UK	2025-02-01	Y	10	15.00	70%	60%	20%
Upper Mid-Atlantic	2025-02-01	Y	8	10.00	50%	38%	13%
Upstate NY	2025-02-01	Y	3	3.33	33%	0%	0%

Data


UW A	Alberta	10	10	0	20
UBC	UW B	0	0	0	0