USAAAO 2024, I кръг — Задача 4

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

Orion is observing the sky with two telescopes that he just made. Orion wrote down that the first telescope has a primary mirror with focal length $F_p = 2\mathrm{m}$ and an eye piece with focal length $F_e = 30\mathrm{mm}$ . However, he does not know the specifications of his second telescope. Given that the full-field image on the left was taken by the first telescope, and the full-field image on the right was taken by the second telescope, which of the following choices could be the specifications of the second telescope?

(a) $F_p = 1\mathrm{m}$ $F_e = 15\mathrm{mm}$

(b) $F_p = 1\mathrm{m}$ $F_e = 30\mathrm{mm}$

(c) $F_p = 1\mathrm{m}$ $F_e = 90\mathrm{mm}$

(d) $F_p = 6\mathrm{m}$ $F_e = 30\mathrm{mm}$

(e) $F_p = 6\mathrm{m}$ $F_e = 15\mathrm{mm}$

Отговори

Решение

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