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MCQAdvancedStars & Stellar Evolution
USAAAO — 2026 First Round
Question 19
Assume a spherical star has a density profile described by the equation ρ(r) = (1 − r³/R³) ρc, for 0 ≤ r ≤ R. Find ρc in terms of the total mass, M, and the radius of the star, R.
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Source
USAAAO 2026 First Round, Question 19. Question text, choices, and answer were transcribed from the official USAAAO exam and solutions PDFs.