USAAAO 2024, I кръг — Задача 22

USAAAO 2024 - First Round · 10 февруари 2024 г.

Problem writers

Wesley Andrade, Abhay Bestrapalli, Austin Chen, Justin Chen, Ved Gund, Hagan Hensley, Sandesh Kalantre, Evan Kim, David Lee, Joe McCarty, Arjun Patel, Sahil Pontula, Tara Rezaei, Raul Teixeira, Leo Yao, David Zhang

Условие

Tara is investigating a new interesting type of stars she decides to call the X stars. She observes that in an X star of mass $M$ and radius $R$, the gas pressure in the center of the star is proportional to $\frac{M^3}{R^5}$. What is the temperature at the center of the star proportional to?

(a) $MR$

(b) $\frac{M}{R}$

(c) $M^2R^2$

(d) $\frac{M^2}{R^2}$

(e) $const$

Отговори

Решение

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Оригинал в Архива: usaaao_first_exam_2024-3.pdf · официални решения: usaaao_first_exam_2024_solutions-1.pdf