Question

Above 10-to-the-7 kelvins, this quantity approximately equals 0.2 times the quantity “one, plus the hydrogen mass fraction.” [read slowly to end of sentence] The reciprocal of a form of this quantity is given by the frequency average of its reciprocal, weighted by the temperature partial derivative of the Planck distribution, “B sub nu.” For bound–free and free–free processes, this quantity is proportional to density times temperature to the negative seven-halves power, according to Kramers’s law. (10[3])As this quantity changes, the oscillation of the partial ionization zone drives the luminosity fluctuations (10[2])of variable stars (10[1])in the kappa mechanism, where kappa denotes (10[1])this quantity. (-5[1])The integral of this quantity (10[1])with respect to vertical position is the optical depth. For 10 points, what quantity measures the intensity (-5[1])lost (-5[1])by radiation (10[1]-5[1])traveling (10[1])through a star? ■END■ (10[6]0[9])

ANSWER: stellar opacity [accept absorption coefficient or attenuation coefficient or extinction coefficient; accept Kramers’ opacity law; accept continuum opacity; prompt on opaqueness] (The second sentence describes the Rosseland mean opacity.)
<Other Science>
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Summary

2024 ACF Nationals2024-04-21Y2176%0%19%108.50

Buzzes

PlayerTeamOpponentBuzz PositionValue
Geoffrey WuColumbia ABrown7410
Richard NiuCornell AColumbia B7410
Adam FineChicago ACornell B7410
Liam KusalikWaterlooNorth Carolina B8910
Vincent DuNorth Carolina AToronto A8910
Matthew LehmannWUSTL AHarvard9210
Jeremy CummingsWUSTL BArizona State9910
Alex AkridgeIndianaKentucky101-5
Andrew WangIllinoisMcGill10610
Yashwanth BajjiMichiganBerkeley A123-5
Jason ZhangToronto BChicago D124-5
Connor BlakeChicago BNYU126-5
Andrew SalijNorthwesternMaryland12610
Michal GerasimiukStanfordTruman State12710
Shahar SchwartzBerkeley AMichigan13110
Graham CopeFloridaBerkeley B1310
Rohan ShelkeBerkeley BFlorida1310
Shiv SeshanChicago DToronto B13110
Kevin ParkClaremont CollegesOttawa1310
Gabrielle ClarkOttawaClaremont Colleges1310
Quentin MotGeorgia TechSouth Carolina13110
Conor ThompsonIowa StateVirginia1310
Kenny ZhangVirginiaIowa State1310
Seth EbnerJohns HopkinsMinnesota B13110
Urbas EkkaMinnesota BJohns Hopkins1310
Andrew EllisKentuckyIndiana1310
Eshan PantNYUChicago B1310
Chinmay MurthyTexasYale A13110
Matt SchiavonePurdueVanderbilt13110