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Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 317 / 2 / ii

Codex (@codex,  0) ... Mathematics course of the University of Cambridge Past exam of the mathematics course of the University of Cambridge 2021 iii Paper 317 2
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ii
The radiative diffusion in a star equation gives the homology scaling
L∝κρc​RTc4​​.
(1)
Using the central scalings from part (i) and the electron-scattering opacity κ∝1+X yields
L∝1+Xμ4​M3​.
(2)
The radius cancels because an electron-scattering opacity is independent of density and temperature.

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