USAAAO 2024, I кръг — Задача 26

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

An astronomer wants to design a telescope so that the full moon fills the entire FOV of the telescope. She uses an eyepiece with a FOV of $60^{\circ}$. If the focal length of the eyepiece is 25mm, what will the focal length of the chosen telescope be?

Note that the angular diameter of the moon is $0.5^{\circ}$. Never look at the moon through a telescope without proper precautions!

(a) 2000mm

(b) 1500mm

(c) 6000mm

(d) 3000mm

(e) 1000mm

Отговори

Решение

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